In The

Supreme Court of the United States

WATSON

v.

FORT WORTH BANK & TRUST

Decided June 29, 1988


Justice O’Connor, For the Court

CASE DETAILS
Topic: Civil Rights*Court vote: 8–0
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Joining O'Connor opinion: Chief Justice REHNQUIST Chief Justice REHNQUIST Justice SCALIA Justice SCALIA Justice WHITE Justice WHITE
Joining opinion in part: Justice BLACKMUN Justice BLACKMUN Justice BRENNAN Justice BRENNAN Justice MARSHALL Justice MARSHALL
Citation: 487 U.S. 977 Docket: 86–6139Audio: Listen to this case's oral arguments at Oyez

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Opinion

Justice O'CONNOR, delivered the opinion of the Court with respect to Parts I, II-A, II-B, and III, concluding that disparate impact analysis may be applied to a subjective or discretionary promotion system. Pp.487 U. S. 985-991,487 U. S. 999-1000.

(a) Each of this Court's decisions applying disparate impact analysis -under which facially neutral employment practices, adopted without a deliberately discriminatory motive, may in operation be functionally equivalent to illegal intentional discrimination -involved standardized tests or criteria, such as written aptitude tests or high school diploma requirements, see, e.g., Griggs v. Duke Power Co., 401 U. S. 424, and the Court has consistently used disparate treatment theory, in which proof of intent to discriminate is required, to review hiring or promotion decisions that were based on the exercise of personal judgment or the application of subjective criteria, see, e.g., McDonnell Douglas Corp. v. Green, 411 U. S. 792. Until today, the Court has never addressed the question whether disparate impact analysis may be applied to subjective employment criteria. Pp. 487 U. S. 985 -989.

(b) The reasons supporting the use of disparate impact analysis apply to subjective employment practices. That analysis might effectively be abolished if it were confined to objective, standardized selection practices, since an employer could insulate itself from liability under Griggs and its progeny simply by combining such practices with a subjective component, such as a brief interview, in a system that refrained from making the objective tests absolutely determinative, and could thereby remain free to give those tests almost as much weight as it chose without risking a disparate impact challenge. Moreover, disparate impact analysis is, in principle, no less applicable to subjective employment criteria than to objective or standardized tests, since, in either case, a facially neutral practice, adopted without discriminatory intent, may have effects that are indistinguishable from intentionally discriminatory practices. Simply because no inference of discriminatory intent can be drawn from the customary and reasonable practice in some businesses of leaving promotion decisions to the unchecked discretion of the lower level supervisors most familiar with the jobs and candidates, it does not follow that these supervisors always act without discriminatory intent. Even if it is assumed that discrimination by individual supervisors can be adequately policed through disparate treatment analysis, that analysis would not solve the problem created by subconscious stereotypes and prejudices that lead to conduct prohibited by Title VII. Pp. 487 U. S. 989 -991.

(c) Since neither the District Court nor the Court of Appeals has evaluated the statistical evidence to determine whether petitioner made out a prima facie case of discrimination under disparate impact theory, the case must be remanded. Pp. 487 U. S. 999 -1000.

Justice O'CONNOR, joined by THE CHIEF Justice, Justice WHITE, and Justice SCALIA, concluded in Parts II-C and II-D that:

1. The extension of disparate impact analysis to subjective employment practices could increase the risk that, in order to avoid liability, employers will adopt surreptitious numerical goals and quotas in the belief that, since disparate impact analysis inevitably focuses on statistical evidence, which cannot practically be rebutted by the kind of counterevidence typically used to defend objective criteria, the threat of ruinous litigation requires steps to ensure that no plaintiff can establish a prima facie case under disparate impact theory. That result would be contrary to Congress' clearly expressed intent in 42 U.S.C. § 2000(e)-2(j) that no employer shall be required to grant preferential treatment to any protected individual or group because of a numerical imbalance in its workforce. Pp. 487 U. S. 991 -993.

2. However, the application of disparate impact theory to subjective employment criteria should not have any chilling effect on legitimate business practices, since the high standards of proof applicable in such cases operate to constrain the theory within its proper bounds and provide adequate safeguards against the danger that quotas or preferential treatment will be adopted by employers. Pp. 487 U. S. 993 -999.

(a) In establishing a prima facie case when subjective selection criteria are at issue, the plaintiff may have difficulty satisfying the initial burden of identifying the specific employment practices that are allegedly responsible for any observed statistical disparity, especially where the employer has combined the subjective criteria with more rigid standardized rules or tests. Moreover, the plaintiff's statistical evidence must be sufficiently substantial to prove that the practice in question has caused the exclusion of job or promotion applicants because of their membership in a protected group, and the defendant is free to attack the probative weight of that evidence, to point out fallacies or deficiencies in the plaintiff's data or statistical techniques, and to adduce countervailing evidence of its own. Pp. 487 U. S. 994 -997.

(b) The nature of the "business necessity" or "job-relatedness" defense -under which the defendant has a burden of producing evidence after the plaintiff has made out a prima facie case -also constrains the application of the disparate impact theory. Employers are not required, even when defending standardized or objective tests, to introduce formal "validation studies" showing that particular criteria predict actual on-the-job performance. In the context of subjective or discretionary decisions, the employer will often find it easier than in the case of standardized tests to produce evidence of a "manifest relationship to the employment in question." Many jobs, for example those involving managerial responsibilities, require personal qualities that are not amenable to standardized testing, but are nevertheless job-related. In evaluating claims that discretionary practices are insufficiently related to legitimate business purposes, courts are generally less competent than employers to restructure business practices, and therefore should not attempt to do so. Pp. 487 U. S. 997 -999.

Justice BLACKMUN, joined by Justice BRENNAN and Justice MARSHALL, agreeing that disparate impact analysis may be applied to claims of discrimination caused by subjective or discretionary selection processes, concluded that:

1. In the disparate impact context, a plaintiff who successfully establishes a prima facie case shifts the burden of proof, not production, to the defendant to establish that the employment practice in question is a business necessity. See, e.g., Albemarle Paper Co. v. Moody, 422 U. S. 405, 422 U. S. 425 ; Dothard v. Rawlinson, 433 U. S. 321, 433 U. S. 329 ; and Griggs v. Duke Power Co., 401 U. S. 424, 401 U. S. 432. The plurality's assertion to the contrary mimics the allocation of burdens this Court has established in the very different context of individual disparate treatment claims. Unlike a disparate treatment claim of intentional discrimination, which a prima facie case establishes only by inference, the disparate impact caused by an employment practice is directly established by the numerical disparity shown by the prima facie case, and the employer can avoid liability only if it can prove that the discriminatory effect is justified. To be justified as a business necessity, a practice must directly relate to a prospective employee's ability to perform the job effectively; i.e., it must be necessary to fulfill legitimate business requirements. Pp. 487 U. S. 1000 -1006.

2. The plurality's suggestion that the employer will often find it easier to produce evidence of job-relatedness for a subjective factor than for standardized tests may prove misleading, since the employer still has the obligation to persuade the court of job-relatedness through the introduction of relevant evidence. Pp. 487 U. S. 1006 -1011.

(a) The fact that the formal validation techniques endorsed by the Equal Employment Opportunity Commission's (EEOC) Uniform Guidelines on Employee Selection Procedures cannot always be used to prove the job-relatedness of subjective selection processes does not free an employer from its burden of proof. The link between such processes and job performance may, depending on the type and size of the business and the nature of the particular job, be established by a variety of methods, including the results of studies, expert testimony, and prior successful experience. Although common sense plays a part in the assessment, a reviewing court may not rely on its own, or an employer's, sense of what is "normal" as a substitute for a neutral assessment of the evidence. Pp. 487 U. S. 1006 -1008.

(b) The employer's burden of justifying an employment practice that produces a disparate impact is not lessened simply because the practice relies upon subjective assessments. Establishing a general rule allowing an employer to escape liability simply by articulating vague, inoffensive-sounding subjective criteria would disserve Title VII's goal of eradicating employment discrimination by encouraging employers to abandon attempts to construct neutral selection mechanisms in favor of broad generalities. While subjective criteria will sometimes pose difficult problems for courts charged with assessing job-relatedness, requiring the development of a greater factual record, and, perhaps, the exercise of a greater degree of judgment, that does not dictate that subjective selection processes generally are to be accepted at face value. Pp. 487 U. S. 1008 -1011.

Justice STEVENS, agreeing that the racially adverse impact of an employer's practice of simply committing employment decisions to the unchecked discretion of a white supervisory corps is subject to the test of Griggs v. Duke Power Co., 401 U. S. 424, concluded that, since cases involving such practices will include too many variables to be adequately considered in a general context, further discussion of evidentiary standards should be postponed until after the District Court has made appropriate findings concerning petitioner's prima facie evidence of disparate impact and respondent's explanation for its subjective practice. P. 487 U. S. 1011.

O'CONNOR, J., announced the judgment of the Court and delivered the opinion of the Court with respect to Parts I, II-A, II-B, and III, in which REHNQUIST, C.J., and BRENNAN, WHITE, MARSHALL, BLACKMUN, and SCALIA, JJ., joined, and an opinion with respect to Parts II-C and II-D in which REHNQUIST, C.J., and WHITE and SCALIA, JJ., joined. BLACKMUN, J., filed an opinion concurring in part and concurring in the judgment, in which BRENNAN and MARSHALL, JJ., joined, post, p. 487 U. S. 1000. STEVENS, J., filed an opinion concurring in the judgment, post, p. 487 U. S. 1011. KENNEDY, J., took no part in the consideration or decision of the case.

No. 86-6139

Argued January 20, 1988

Decided June 29, 1988

487 U.S. 977

CERTIORARI TO THE UNITED STATES COURT OF APPEALS FOR

THE FIFTH CIRCUIT

Syllabus

Petitioner employee, who is black, was rejected in favor of white applicants for four promotions to supervisory positions in respondent bank, which had not developed precise and formal selection criteria for the positions, but instead relied on the subjective judgment of white supervisors who were acquainted with the candidates and with the nature of the jobs. After exhausting her administrative remedies, petitioner filed suit in Federal District Court, alleging, inter alia, that respondent's promotion policies had unlawfully discriminated against blacks generally and her personally in violation of Title VII of the Civil Rights Act of 1964. As to petitioner's individual claim, the court held that she had not met her burden of proof under the discriminatory treatment evidentiary standard and, for this and other reasons, dismissed the action. The Court of Appeals affirmed in relevant part, rejecting petitioner's contention that the District Court erred in failing to apply "disparate impact" analysis to her promotion claims. The court held that, under its precedent, a Title VII challenge to a discretionary or subjective promotion system can only be analyzed under the disparate treatment model.

Held: The judgment is vacated, and the case is remanded.

798 F.2d 791, vacated and remanded.

Justice O'CONNOR, delivered the opinion of the Court with respect to Parts I, II-A, II-B, and III, concluding that disparate impact analysis may be applied to a subjective or discretionary promotion system. Pp. 487 U. S. 985 -991, 487 U. S. 999 -1000.

(a) Each of this Court's decisions applying disparate impact analysis -under which facially neutral employment practices, adopted without a deliberately discriminatory motive, may in operation be functionally equivalent to illegal intentional discrimination -involved standardized tests or criteria, such as written aptitude tests or high school diploma requirements, see, e.g., Griggs v. Duke Power Co., 401 U. S. 424, and the Court has consistently used disparate treatment theory, in which proof of intent to discriminate is required, to review hiring or promotion decisions that were based on the exercise of personal judgment or the application of subjective criteria, see, e.g., McDonnell Douglas Corp. v. Green, 411 U. S. 792. Until today, the Court has never addressed the question whether disparate impact analysis may be applied to subjective employment criteria. Pp. 487 U. S. 985 -989.

(b) The reasons supporting the use of disparate impact analysis apply to subjective employment practices. That analysis might effectively be abolished if it were confined to objective, standardized selection practices, since an employer could insulate itself from liability under Griggs and its progeny simply by combining such practices with a subjective component, such as a brief interview, in a system that refrained from making the objective tests absolutely determinative, and could thereby remain free to give those tests almost as much weight as it chose without risking a disparate impact challenge. Moreover, disparate impact analysis is, in principle, no less applicable to subjective employment criteria than to objective or standardized tests, since, in either case, a facially neutral practice, adopted without discriminatory intent, may have effects that are indistinguishable from intentionally discriminatory practices. Simply because no inference of discriminatory intent can be drawn from the customary and reasonable practice in some businesses of leaving promotion decisions to the unchecked discretion of the lower level supervisors most familiar with the jobs and candidates, it does not follow that these supervisors always act without discriminatory intent. Even if it is assumed that discrimination by individual supervisors can be adequately policed through disparate treatment analysis, that analysis would not solve the problem created by subconscious stereotypes and prejudices that lead to conduct prohibited by Title VII. Pp. 487 U. S. 989 -991.

(c) Since neither the District Court nor the Court of Appeals has evaluated the statistical evidence to determine whether petitioner made out a prima facie case of discrimination under disparate impact theory, the case must be remanded. Pp. 487 U. S. 999 -1000.

Justice O'CONNOR, joined by THE CHIEF Justice, Justice WHITE, and Justice SCALIA, concluded in Parts II-C and II-D that:

1. The extension of disparate impact analysis to subjective employment practices could increase the risk that, in order to avoid liability, employers will adopt surreptitious numerical goals and quotas in the belief that, since disparate impact analysis inevitably focuses on statistical evidence, which cannot practically be rebutted by the kind of counterevidence typically used to defend objective criteria, the threat of ruinous litigation requires steps to ensure that no plaintiff can establish a prima facie case under disparate impact theory. That result would be contrary to Congress' clearly expressed intent in 42 U.S.C. § 2000(e)-2(j) that no employer shall be required to grant preferential treatment to any protected individual or group because of a numerical imbalance in its workforce. Pp. 487 U. S. 991 -993.

2. However, the application of disparate impact theory to subjective employment criteria should not have any chilling effect on legitimate business practices, since the high standards of proof applicable in such cases operate to constrain the theory within its proper bounds and provide adequate safeguards against the danger that quotas or preferential treatment will be adopted by employers. Pp. 487 U. S. 993 -999.

(a) In establishing a prima facie case when subjective selection criteria are at issue, the plaintiff may have difficulty satisfying the initial burden of identifying the specific employment practices that are allegedly responsible for any observed statistical disparity, especially where the employer has combined the subjective criteria with more rigid standardized rules or tests. Moreover, the plaintiff's statistical evidence must be sufficiently substantial to prove that the practice in question has caused the exclusion of job or promotion applicants because of their membership in a protected group, and the defendant is free to attack the probative weight of that evidence, to point out fallacies or deficiencies in the plaintiff's data or statistical techniques, and to adduce countervailing evidence of its own. Pp. 487 U. S. 994 -997.

(b) The nature of the "business necessity" or "job-relatedness" defense -under which the defendant has a burden of producing evidence after the plaintiff has made out a prima facie case -also constrains the application of the disparate impact theory. Employers are not required, even when defending standardized or objective tests, to introduce formal "validation studies" showing that particular criteria predict actual on-the-job performance. In the context of subjective or discretionary decisions, the employer will often find it easier than in the case of standardized tests to produce evidence of a "manifest relationship to the employment in question." Many jobs, for example those involving managerial responsibilities, require personal qualities that are not amenable to standardized testing, but are nevertheless job-related. In evaluating claims that discretionary practices are insufficiently related to legitimate business purposes, courts are generally less competent than employers to restructure business practices, and therefore should not attempt to do so. Pp. 487 U. S. 997 -999.

Justice BLACKMUN, joined by Justice BRENNAN and Justice MARSHALL, agreeing that disparate impact analysis may be applied to claims of discrimination caused by subjective or discretionary selection processes, concluded that:

1. In the disparate impact context, a plaintiff who successfully establishes a prima facie case shifts the burden of proof, not production, to the defendant to establish that the employment practice in question is a business necessity. See, e.g., Albemarle Paper Co. v. Moody, 422 U. S. 405, 422 U. S. 425 ; Dothard v. Rawlinson, 433 U. S. 321, 433 U. S. 329 ; and Griggs v. Duke Power Co., 401 U. S. 424, 401 U. S. 432. The plurality's assertion to the contrary mimics the allocation of burdens this Court has established in the very different context of individual disparate treatment claims. Unlike a disparate treatment claim of intentional discrimination, which a prima facie case establishes only by inference, the disparate impact caused by an employment practice is directly established by the numerical disparity shown by the prima facie case, and the employer can avoid liability only if it can prove that the discriminatory effect is justified. To be justified as a business necessity, a practice must directly relate to a prospective employee's ability to perform the job effectively; i.e., it must be necessary to fulfill legitimate business requirements. Pp. 487 U. S. 1000 -1006.

2. The plurality's suggestion that the employer will often find it easier to produce evidence of job-relatedness for a subjective factor than for standardized tests may prove misleading, since the employer still has the obligation to persuade the court of job-relatedness through the introduction of relevant evidence. Pp. 487 U. S. 1006 -1011.

(a) The fact that the formal validation techniques endorsed by the Equal Employment Opportunity Commission's (EEOC) Uniform Guidelines on Employee Selection Procedures cannot always be used to prove the job-relatedness of subjective selection processes does not free an employer from its burden of proof. The link between such processes and job performance may, depending on the type and size of the business and the nature of the particular job, be established by a variety of methods, including the results of studies, expert testimony, and prior successful experience. Although common sense plays a part in the assessment, a reviewing court may not rely on its own, or an employer's, sense of what is "normal" as a substitute for a neutral assessment of the evidence. Pp. 487 U. S. 1006 -1008.

(b) The employer's burden of justifying an employment practice that produces a disparate impact is not lessened simply because the practice relies upon subjective assessments. Establishing a general rule allowing an employer to escape liability simply by articulating vague, inoffensive-sounding subjective criteria would disserve Title VII's goal of eradicating employment discrimination by encouraging employers to abandon attempts to construct neutral selection mechanisms in favor of broad generalities. While subjective criteria will sometimes pose difficult problems for courts charged with assessing job-relatedness, requiring the development of a greater factual record, and, perhaps, the exercise of a greater degree of judgment, that does not dictate that subjective selection processes generally are to be accepted at face value. Pp. 487 U. S. 1008 -1011.

Justice STEVENS, agreeing that the racially adverse impact of an employer's practice of simply committing employment decisions to the unchecked discretion of a white supervisory corps is subject to the test of Griggs v. Duke Power Co., 401 U. S. 424, concluded that, since cases involving such practices will include too many variables to be adequately considered in a general context, further discussion of evidentiary standards should be postponed until after the District Court has made appropriate findings concerning petitioner's prima facie evidence of disparate impact and respondent's explanation for its subjective practice. P. 487 U. S. 1011.

O'CONNOR, J., announced the judgment of the Court and delivered the opinion of the Court with respect to Parts I, II-A, II-B, and III, in which REHNQUIST, C.J., and BRENNAN, WHITE, MARSHALL, BLACKMUN, and SCALIA, JJ., joined, and an opinion with respect to Parts II-C and II-D in which REHNQUIST, C.J., and WHITE and SCALIA, JJ., joined. BLACKMUN, J., filed an opinion concurring in part and concurring in the judgment, in which BRENNAN and MARSHALL, JJ., joined, post, p. 487 U. S. 1000. STEVENS, J., filed an opinion concurring in the judgment, post, p. 487 U. S. 1011. KENNEDY, J., took no part in the consideration or decision of the case.

JUSTICE O'CONNOR announced the judgment of the Court and delivered the opinion of the Court with respect to Parts I, II-A, II-B, and III, and an opinion with respect to parts II-C and II-D, in which THE CHIEF JUSTICE, JUSTICE WHITE, and JUSTICE SCALIA join.

This case requires us to decide what evidentiary standards should be applied under Title VII of the Civil Rights Act of 1964, 78 Stat. 253, as amended, 42 U.S.C. § 2000e et seq., in determining whether an employer's practice of committing promotion decisions to the subjective discretion of supervisory employees has led to illegal discrimination.

I

Petitioner Clara Watson, who is black, was hired by respondent Fort Worth Bank and Trust (the Bank) as a proof operator in August, 1973. In January, 1976, Watson was promoted to a position as teller in the Bank's drive-in facility. In February, 1980, she sought to become supervisor of the tellers in the main lobby; a white male, however, was selected for this job. Watson then sought a position as supervisor of the drive-in bank, but this position was given to a white female. In February, 1981, after Watson had served for about a year as a commercial teller in the Bank's main lobby, and informally as assistant to the supervisor of tellers, the man holding that position was promoted. Watson applied for the vacancy, but the white female who was the supervisor of the drive-in bank was selected instead. Watson then applied for the vacancy created at the drive-in; a white male was selected for that job. The Bank, which has about 80 employees, had not developed precise and formal criteria for evaluating candidates for the positions for which Watson unsuccessfully applied. It relied instead on the subjective judgment of supervisors who were acquainted with the candidates, and with the nature of the jobs to be filled. All the supervisors involved in denying Watson the four promotions at issue were white.

Watson filed a discrimination charge with the Equal Employment Opportunity Commission (EEOC). After exhausting her administrative remedies, she filed this lawsuit in the United States District Court for the Northern District of Texas. She alleged that the Bank had unlawfully discriminated against blacks in hiring, compensation, initial placement, promotions, terminations, and other terms and conditions of employment. On Watson's motion under Federal Rule of Civil Procedure 23, the District Court certified a class consisting of

blacks who applied to or were employed by [respondent] on or after October 21, 1979, or who may submit employment applications to [respondent] in the future.

App.190. The District Court later decertified this broad class because it concluded, in light of the evidence presented at trial, that there was not a common question of law or fact uniting the groups of applicants and employees. After splitting the class along this line, the court found that the class of black employees did not meet the numerosity requirement of Rule 23(a); accordingly, this subclass was decertified. The court also concluded that Watson was not an adequate representative of the applicant class, because her promotion claims were not typical of the claims of the members of that group. Because Watson had proceeded zealously on behalf of the job applicants, however, the court went on to address the merits of their claims. It concluded that Watson had failed to establish a prima facie case of racial discrimination in hiring: the percentage of blacks in the Bank's workforce approximated the percentage of blacks in the metropolitan area where the Bank is located. App.199-202.

The District Court addressed Watson's individual claims under the evidentiary standards that apply in a discriminatory treatment case. See McDonnell Douglas Corp. v. Green, 411 U. S. 792 (1973), and Texas Dept. of Community Affairs v. Burdine, 450 U. S. 248 (1981). It concluded, on the evidence presented at trial, that Watson had established a prima facie case of employment discrimination, but that the Bank had met its rebuttal burden by presenting legitimate and nondiscriminatory reasons for each of the challenged promotion decisions. The court also concluded that Watson had failed to show that these reasons were pretexts for racial discrimination. Accordingly, the action was dismissed. App.195-197, 203.

A divided panel of the United States Court of Appeals for the Fifth Circuit affirmed in part. 798 F.2d 791 (1986). The majority concluded that there was no abuse of discretion in the District Court's class decertification decisions. In order to avoid unfair prejudice to members of the class of black job applicants, however, the Court of Appeals vacated the portion of the judgment affecting them and remanded with instructions to dismiss those claims without prejudice. The majority affirmed the District Court's conclusion that Watson had failed to prove her claim of racial discrimination under the standards set out in McDonnell Douglas, supra, and Burdine, supra. [ Footnote 1 ]

Watson argued that the District Court had erred in failing to apply "disparate impact" analysis to her claims of discrimination in promotion. Relying on Fifth Circuit precedent, the majority of the Court of Appeals panel held that

a Title VII challenge to an allegedly discretionary promotion system is properly analyzed under the disparate treatment model, rather than the disparate impact model.

798 F.2d at 797. Other Courts of Appeals have held that disparate impact analysis may be applied to hiring or promotion systems that involve the use of "discretionary" or "subjective" criteria. See, e.g., Atonio v. Wards Cove Packing Co., 810 F.2d 1477 (CA9) (en banc), on return to panel, 827 F.2d 439 (1987), cert denied, No. 87-1388, 485 U.S. 989 (1988), cert. pending, No. 87-1387; Griffin v. Carlin, 755 F.2d 1516, 1522-1525 (CA11 1985). Cf. Segar v. Smith, 238 U.S.App.D.C. 103, 738 F.2d 1249 (1984), cert. denied, 471 U.S. 1115 (1985). We granted certiorari to resolve the conflict. 483 U.S. 1004 (1987).

II

A

Section 703 of the Civil Rights Act of 1964, 42 U.S.C. § 2000e-2, provides:

(a) It shall be an unlawful employment practice for an employer -

(1) to fail or refuse to hire or to discharge any individual, or otherwise to discriminate against any individual with respect to his compensation, terms, conditions, or privileges of employment, because of such individual's race, color, religion, sex, or national origin; or

(2) to limit, segregate, or classify his employees or applicants for employment in any way which would deprive or tend to deprive any individual of employment opportunities or otherwise adversely affect his status as an employee, because of such individual's race, color, religion, sex, or national origin. * * * *

(h) Notwithstanding any other provision of this subchapter, it shall not be an unlawful employment practice for an employer... to give and to act upon the results of any professionally developed ability test provided that such test, its administration or action upon the results is not designed, intended or used to discriminate because of race, color, religion, sex or national origin....

Several of our decisions have dealt with the evidentiary standards that apply when an individual alleges that an employer has treated that particular person less favorably than others because of the plaintiff's race, color, religion, sex, or national origin. In such "disparate treatment" cases, which involve "the most easily understood type of discrimination," Teamsters v. United States, 431 U. S. 324, 431 U. S. 335, n. 15 (1977), the plaintiff is required to prove that the defendant had a discriminatory intent or motive. In order to facilitate the orderly consideration of relevant evidence, we have devised a series of shifting evidentiary burdens that are "intended progressively to sharpen the inquiry into the elusive factual question of intentional discrimination." Texas Dept. of Community Affairs v. Burdine, 450 U.S. at 450 U. S. 255, n. 8. Under that scheme, a prima facie case is ordinarily established by proof that the employer, after having rejected the plaintiff's application for a job or promotion, continued to seek applicants with qualifications similar to the plaintiff's. Id. at 450 U. S. 253, and n. 6. The burden of proving a prima facie case is "not onerous," id. at 450 U. S. 253, and the employer in turn may rebut it simply by producing some evidence that it had legitimate, nondiscriminatory reasons for the decision. Id. at 450 U. S. 254 -255. If the defendant carries this burden of production, the plaintiff must prove by a preponderance of all the evidence in the case that the legitimate reasons offered by the defendant were a pretext for discrimination. Id. at 450 U. S. 253, 450 U. S. 255, n. 10. We have cautioned that these shifting burdens are meant only to aid courts and litigants in arranging the presentation of evidence:

The ultimate burden of persuading the trier of fact that the defendant intentionally discriminated against the plaintiff remains at all times with the plaintiff.

Id. at 250 U. S. 253. See also United States Postal Service Bd. of Governors v. Aikens, 460 U. S. 711, 460 U. S. 715 (1983).

In Griggs v. Duke Power Co., 401 U. S. 424 (1971), this Court held that a plaintiff need not necessarily prove intentional discrimination in order to establish that an employer has violated § 703. In certain cases, facially neutral employment practices that have significant adverse effects on protected groups have been held to violate the Act without proof that the employer adopted those practices with a discriminatory intent. The factual issues and the character of the evidence are inevitably somewhat different when the plaintiff is exempted from the need to prove intentional discrimination. See Burdine, supra, at 450 U. S. 252, n. 5; see also United States Postal Service Bd. of Governors v. Aikens, supra, at 460 U. S. 713, n. l; McDonnell Douglas, 411 U.S. at 411 U. S. 802, n. 14; Teamsters, supra, at 431 U. S. 335 -336, n. 15. The evidence in these "disparate impact" cases usually focuses on statistical disparities, rather than specific incidents, and on competing explanations for those disparities.

The distinguishing features of the factual issues that typically dominate in disparate impact cases do not imply that the ultimate legal issue is different than in cases where disparate treatment analysis is used. See, e.g., Washington v. Davis, 426 U. S. 229, 426 U. S. 253 -254 (1976) (STEVENS, J., concurring). Nor do we think it is appropriate to hold a defendant liable for unintentional discrimination on the basis of less evidence than is required to prove intentional discrimination. Rather, the necessary premise of the disparate impact approach is that some employment practices, adopted without a deliberately discriminatory motive, may in operation be functionally equivalent to intentional discrimination.

Perhaps the most obvious examples of such functional equivalence have been found where facially neutral job requirements necessarily operated to perpetuate the effects of intentional discrimination that occurred before Title VII was enacted. In Griggs itself, for example, the employer had a history of overt racial discrimination that predated the enactment of the Civil Rights Act of 1964. 401 U.S. at 401 U. S. 426 -428. Such conduct had apparently ceased thereafter, but the employer continued to follow employment policies that had "a markedly disproportionate" adverse effect on blacks. Id. at 401 U. S. 428 -429. Cf. Teamsters, supra, at 431 U. S. 349, and n. 32. The Griggs Court found that these policies, which involved the use of general aptitude tests and a high school diploma requirement, were not demonstrably related to the jobs for which they were used. 401 U.S. at 401 U. S. 431 -432. Believing that diplomas and tests could become "masters of reality," id. at 401 U. S. 433, which would perpetuate the effects of pre-Act discrimination, the Court concluded that such practices could not be defended simply on the basis of their facial neutrality, or on the basis of the employer's lack of discriminatory intent.

This Court has repeatedly reaffirmed the principle that some facially neutral employment practices may violate Title VII even in the absence of a demonstrated discriminatory intent. We have not limited this principle to cases in which the challenged practice served to perpetuate the effects of pre-Act intentional discrimination. Each of our subsequent decisions, however, like Griggs itself, involved standardized employment tests or criteria. See, e.g., Albemarle Paper Co. v. Moody, 422 U. S. 405 (1975) (written aptitude tests); Washington v. Davis, supra, (written test of verbal skills); Dothard v. Rawlinson, 433 U. S. 321 (1977) (height and weight requirements); New York City Transit Authority v. Beazer, 440 U. S. 568 (1979) (rule against employing drug addicts); Connecticut v. Teal, 457 U. S. 440 (1982) (written examination). In contrast, we have consistently used conventional disparate treatment theory, in which proof of intent to discriminate is required, to review hiring and promotion decisions that were based on the exercise of personal judgment or the application of inherently subjective criteria. See, e.g., McDonnell Douglas Corp. v. Green, supra, (discretionary decision not to rehire individual who engaged in criminal acts against employer while laid off); Furnco Construction Corp. v. Waters, 438 U. S. 567 (1978) (hiring decisions based on personal knowledge of candidates and recommendations); Texas Dept. of Community Affairs v. Burdine, supra, (discretionary decision to fire individual who was said not to get along with coworkers); United States Postal Service Bd. of Governors v. Aikens,460 U.S. at460 U. S. 715(discretionary promotion decision).

Our decisions have not addressed the question whether disparate impact analysis may be applied to cases in which subjective criteria are used to make employment decisions. As noted above, the Courts of Appeals are in conflict on the issue. In order to resolve this conflict, we must determine whether the reasons that support the use of disparate impact analysis apply to subjective employment practices, and whether such analysis can be applied in this new context under workable evidentiary standards.

B

The parties present us with stark and uninviting alternatives. Petitioner contends that subjective selection methods are at least as likely to have discriminatory effects as are the kind of objective tests at issue in Griggs and our other disparate impact cases. Furthermore, she argues, if disparate impact analysis is confined to objective tests, employers will be able to substitute subjective criteria having substantially identical effects, and Griggs will become a dead letter. Respondent and the United States (appearing as amicus curiae ) argue that conventional disparate treatment analysis is adequate to accomplish Congress' purpose in enacting Title VII. They also argue that subjective selection practices would be so impossibly difficult to defend under disparate impact analysis that employers would be forced to adopt numerical quotas in order to avoid liability.

We are persuaded that our decisions in Griggs and succeeding cases could largely be nullified if disparate impact analysis were applied only to standardized selection practices. However one might distinguish "subjective" from "objective" criteria, it is apparent that selection systems that combine both types would generally have to be considered subjective in nature. Thus, for example, if the employer in Griggs had consistently preferred applicants who had a high school diploma and who passed the company's general aptitude test, its selection system could nonetheless have been considered "subjective" if it also included brief interviews with the candidates. So long as an employer refrained from making standardized criteria absolutely determinative, it would remain free to give such tests almost as much weight as it chose without risking a disparate impact challenge. If we announced a rule that allowed employers so easily to insulate themselves from liability under Griggs, disparate impact analysis might effectively be abolished.

We are also persuaded that disparate impact analysis is in principle no less applicable to subjective employment criteria than to objective or standardized tests. In either case, a facially neutral practice, adopted without discriminatory intent, may have effects that are indistinguishable from intentionally discriminatory practices. It is true, to be sure, that an employer's policy of leaving promotion decisions to the unchecked discretion of lower level supervisors should itself raise no inference of discriminatory conduct. Especially in relatively small businesses like respondent's, it may be customary and quite reasonable simply to delegate employment decisions to those employees who are most familiar with the jobs to be filled and with the candidates for those jobs. It does not follow, however, that the particular supervisors to whom this discretion is delegated always act without discriminatory intent. Furthermore, even if one assumed that any such discrimination can be adequately policed through disparate treatment analysis, the problem of subconscious stereotypes and prejudices would remain. In this case, for example, petitioner was apparently told at one point that the teller position was a big responsibility, with "a lot of money... for blacks to have to count." App. 7. Such remarks may not prove discriminatory intent, but they do suggest a lingering form of the problem that Title VII was enacted to combat. If an employer's undisciplined system of subjective decisionmaking has precisely the same effects as a system pervaded by impermissible intentional discrimination, it is difficult to see why Title VII's proscription against discriminatory actions should not apply. In both circumstances, the employer's practices may be said to "adversely affect [an individual's] status as an employee, because of such individual's race, color, religion, sex, or national origin." 42 U.S.C. § 2000e-2(a)(2). We conclude, accordingly, that subjective or discretionary employment practices may be analyzed under the disparate impact approach in appropriate cases.

C

Having decided that disparate impact analysis may in principle be applied to subjective as well as to objective practices, we turn to the evidentiary standards that should apply in such cases. It is here that the concerns raised by respondent have their greatest force. Respondent contends that a plaintiff may establish a prima facie case of disparate impact through the use of bare statistics, and that the defendant can rebut this statistical showing only by justifying the challenged practice in terms of "business necessity," Griggs, 401 U.S. at 401 U. S. 431, or "job-relatedness," Albemarle Paper Co., 422 U.S. at 422 U. S. 426. Standardized tests and criteria, like those at issue in our previous disparate impact cases, can often be justified through formal "validation studies," which seek to determine whether discrete selection criteria predict actual on-the-job performance. See generally id. at 422 U. S. 429 -436. Respondent warns, however, that "validating" subjective selection criteria in this way is impracticable. Some qualities -for example, common sense, good judgment, originality, ambition, loyalty, and tact -cannot be measured accurately through standardized testing techniques. Moreover, success at many jobs in which such qualities are crucial cannot itself be measured directly. Opinions often differ when managers and supervisors are evaluated, and the same can be said for many jobs that involve close cooperation with one's coworkers or complex and subtle tasks like the provision of professional services or personal counseling. Because of these difficulties, we are told, employers will find it impossible to eliminate subjective selection criteria and impossibly expensive to defend such practices in litigation. Respondent insists, and the United States agrees, that employers' only alternative will be to adopt surreptitious quota systems in order to ensure that no plaintiff can establish a statistical prima facie case.

We agree that the inevitable focus on statistics in disparate impact cases could put undue pressure on employers to adopt inappropriate prophylactic measures. It is completely unrealistic to assume that unlawful discrimination is the sole cause of people's failing to gravitate to jobs and employers in accord with the laws of chance. See Sheet Metal Workers v. EEOC, 478 U. S. 421, 478 U. S. 489 (1986) (O'CONNOR, J., concurring in part and dissenting in part). It would be equally unrealistic to suppose that employers can eliminate, or discover and explain, the myriad of innocent causes that may lead to statistical imbalances in the composition of their workforces. Congress has specifically provided that employers are not required to avoid "disparate impact" as such:

Nothing contained in [Title VII] shall be interpreted to require any employer... to grant preferential treatment to any individual or to any group because of the race, color, religion, sex, or national origin of such individual or group on account of an imbalance which may exist with respect to the total number or percentage of persons of any race, color, religion, sex, or national origin employed by any employer... in comparison with the total number or percentage of persons of such race, color, religion, sex, or national origin in any community, State, section, or other area, or in the available workforce in any community, State, section, or other area.

42 U.S.C. § 2000e-2(j). Preferential treatment and the use of quotas by public employers subject to Title VII can violate the Constitution, see, e.g., Wygant v. Jackson Bd. of Education, 476 U. S. 267 (1986), and it has long been recognized that legal rules leaving any class of employers with "little choice" but to adopt such measures would be "far from the intent of Title VII." Albemarle Paper Co., 422 U.S. at 422 U. S. 449 (BLACKMUN, J., concurring in judgment). Respondent and the United States are thus correct when they argue that extending disparate impact analysis to subjective employment practices has the potential to create a Hobson's choice for employers, and thus to lead in practice to perverse results. If quotas and preferential treatment become the only cost-effective means of avoiding expensive litigation and potentially catastrophic liability, such measures will be widely adopted. The prudent employer will be careful to ensure that its programs are discussed in euphemistic terms, but will be equally careful to ensure that the quotas are met. Allowing the evolution of disparate impact analysis to lead to this result would be contrary to Congress' clearly expressed intent, and it should not be the effect of our decision today.

D

We do not believe that disparate impact theory need have any chilling effect on legitimate business practices. We recognize, however, that today's extension of that theory into the context of subjective selection practices could increase the risk that employers will be given incentives to adopt quotas or to engage in preferential treatment. Because Congress has so clearly and emphatically expressed its intent that Title VII not lead to this result, 42 U.S.C. § 2000e-2(j), we think it imperative to explain in some detail why the evidentiary standards that apply in these cases should serve as adequate safeguards against the danger that Congress recognized. Our previous decisions offer guidance, but today's extension of disparate impact analysis calls for a fresh and somewhat closer examination of the constraints that operate to keep that analysis within its proper bounds. [ Footnote 2 ]

First, we note that the plaintiff's burden in establishing a prima facie case goes beyond the need to show that there are statistical disparities in the employer's workforce. The plaintiff must begin by identifying the specific employment practice that is challenged. Although this has been relatively easy to do in challenges to standardized tests, it may sometimes be more difficult when subjective selection criteria are at issue. Especially in cases where an employer combines subjective criteria with the use of more rigid standardized rules or tests, the plaintiff is, in our view, responsible for isolating and identifying the specific employment practices that are allegedly responsible for any observed statistical disparities. Cf. Connecticut v. Teal, 457 U. S. 440 (1982).

Once the employment practice at issue has been identified, causation must be proved; that is, the plaintiff must offer statistical evidence of a kind and degree sufficient to show that the practice in question has caused the exclusion of applicants for jobs or promotions because of their membership in a protected group. Our formulations, which have never been framed in terms of any rigid mathematical formula, have consistently stressed that statistical disparities must be sufficiently substantial that they raise such an inference of causation. In Griggs, for example we examined "requirements [that] operate[d] to disqualify Negroes at a substantially higher rate than white applicants." 401 U.S. at 401 U. S. 426. Similarly, we said in Albemarle Paper Co. that plaintiffs are required to show

that the tests in question select applicants for hire or promotion in a racial pattern significantly different from that of the pool of applicants.

422 U.S. at 422 U. S. 425. Later cases have framed the test in similar terms. See, e.g., Washington v. Davis, 426 U.S. at 426 U. S. 246 -247 ("hiring and promotion practices disqualifying substantially disproportionate numbers of blacks"); Dothard, 433 U.S. at 433 U. S. 329 (employment standards that "select applicants for hire in a significantly discriminatory pattern"); Beazer, 440 U.S. at 440 U. S. 584 ("statistical evidence showing that an employment practice has the effect of denying the members of one race equal access to employment opportunities"); Teal, 457 U.S. at 457 U. S. 446 ("significantly discriminatory impact"). [ Footnote 3 ]

Nor are courts or defendants obliged to assume that plaintiffs' statistical evidence is reliable. "If the employer discerns fallacies or deficiencies in the data offered by the plaintiff, he is free to adduce countervailing evidence of his own." Dothard, 433 U.S. at 433 U. S. 331. See also id. at 433 U. S. 338 -339 (REHNQUIST, J., concurring in result and concurring in part) ("If the defendants in a Title VII suit believe there to be any reason to discredit plaintiffs' statistics that does not appear on their face, the opportunity to challenge them is available to the defendants, just as in any other lawsuit. They may endeavor to impeach the reliability of the statistical evidence, they may offer rebutting evidence, or they may disparage in arguments or in briefs the probative weight which the plaintiffs' evidence should be accorded"). Without attempting to catalog all the weaknesses that may be found in such evidence, we may note that typical examples include small or incomplete data sets and inadequate statistical techniques. See, e.g., Fudge v. Providence Fire Dept., 766 F.2d 650, 656-659 (CA1 1985). Similarly, statistics based on an applicant pool containing individuals lacking minimal qualifications for the job would be of little probative value. See, e.g., Hazelwood School Dist. v. United States, 433 U. S. 299, 433 U. S. 308 (1977) ("[P]roper comparison was between the racial composition of [the employer's] teaching staff and the racial composition of the qualified public school teacher population in the relevant labor market") (footnote omitted). Other kinds of deficiencies in facially plausible statistical evidence may emerge from the facts of particular cases. See, e.g., Carroll v. Sears, Roebuck & Co., 708 F.2d 183, 189 (CA5 1983) ("The flaw in the plaintiffs' proof was its failure to establish the required causal connection between the challenged employment practice (testing) and discrimination in the workforce. Because the test does not have a cut-off, and is only one of many factors in decisions to hire or promote, the fact that blacks score lower does not automatically result in disqualification of disproportionate numbers of blacks as in cases involving cutoffs") (citation omitted); Contreras v. Los Angeles, 656 F.2d 1267, 1273-1274 (CA9 1981) (probative value of statistics impeached by evidence that plaintiffs failed a written examination at a disproportionately high rate because they did not study seriously for it), cert. denied, 455 U.S. 1021 (1982).

A second constraint on the application of disparate impact theory lies in the nature of the "business necessity" or "job-relatedness" defense. Although we have said that an employer has "the burden of showing that any given requirement must have a manifest relationship to the employment in question," Griggs, 401 U.S. at 401 U. S. 432, such a formulation should not be interpreted as implying that the ultimate burden of proof can be shifted to the defendant. On the contrary, the ultimate burden of proving that discrimination against a protected group has been caused by a specific employment practice remains with the plaintiff at all times. Thus, when a plaintiff has made out a prima facie case of disparate impact, and when the defendant has met its burden of producing evidence that its employment practices are based on legitimate business reasons, the plaintiff must

show that other tests or selection devices, without a similarly undesirable racial effect, would also serve the employer's legitimate interest in efficient and trustworthy workmanship.

Albemarle Paper Co., 422 U.S. at 422 U. S. 425 (citation omitted; internal quotation marks omitted). Factors such as the cost or other burdens of proposed alternative selection devices are relevant in determining whether they would be equally as effective as the challenged practice in serving the employer's legitimate business goals. The same factors would also be relevant in determining whether the challenged practice has operated as the functional equivalent of a pretext for discriminatory treatment. Cf. ibid.

Our cases make it clear that employers are not required, even when defending standardized or objective tests, to introduce formal "validation studies" showing that particular criteria predict actual on-the-job performance. In Beazer, for example, the Court considered it obvious that "legitimate employment goals of safety and efficiency" permitted the exclusion of methadone users from employment with the New York City Transit Authority; the Court indicated that the "manifest relationship" test was satisfied, even with respect to non-safety-sensitive jobs, because those legitimate goals were "significantly served by" the exclusionary rule at issue in that case, even though the rule was not required by those goals. 440 U.S. at 440 U. S. 587, n. 31. Similarly, in Washington v. Davis, the Court held that the "job-relatedness" requirement was satisfied when the employer demonstrated that a written test was related to success at a police training academy "wholly aside from [the test's] possible relationship to actual performance as a police officer." 426 U.S. at 426 U. S. 250. See also id. at 426 U. S. 256 (STEVENS, J., concurring) ("[A]s a matter of law, it is permissible for the police department to use a test for the purpose of predicting ability to master a training program, even if the test does not otherwise predict ability to perform on the job").

In the context of subjective or discretionary employment decisions, the employer will often find it easier than in the case of standardized tests to produce evidence of a "manifest relationship to the employment in question." It is self-evident that many jobs, for example those involving managerial responsibilities, require personal qualities that have never been considered amenable to standardized testing. In evaluating claims that discretionary employment practices are insufficiently related to legitimate business purposes, it must be borne in mind that

[c]ourts are generally less competent than employers to restructure business practices, and unless mandated to do so by Congress they should not attempt it.

Furnco Construction Corp. v. Waters, 438 U.S. at 438 U. S. 578. See also Zahorik v. Cornell University, 729 F.2d 85, 96 (CA2 1984) ("[The] criteria [used by a university to award tenure], however difficult to apply and however much disagreement they generate in particular cases, are job-related.... It would be a most radical interpretation of Title VII for a court to enjoin use of an historically settled process and plainly relevant criteria largely because they lead to decisions which are difficult for a court to review"). In sum, the high standards of proof in disparate impact cases are sufficient, in our view, to avoid giving employers incentives to modify any normal and legitimate practices by introducing quotas or preferential treatment.

III

We granted certiorari to determine whether the court below properly held disparate impact analysis inapplicable to a subjective or discretionary promotion system, and we now hold that such analysis may be applied. We express no opinion as to the other rulings of the Court of Appeals.

Neither the District Court nor the Court of Appeals has evaluated the statistical evidence to determine whether petitioner made out a prima facie case of discriminatory promotion practices under disparate impact theory. It may be that the relevant data base is too small to permit any meaningful statistical analysis, but we leave the Court of Appeals to decide in the first instance, on the basis of the record and the principles announced today, whether this case can be resolved without further proceedings in the District Court. The judgment of the Court of Appeals is vacated, and the case is remanded for further proceedings consistent with this opinion.

It is so ordered.

JUSTICE KENNEDY took no part in the consideration or decision of this case.


Notes

[ Footnote 1 ]

The dissenting judge argued that the District Court had abused its discretion in decertifying the broad class of black employees and applicants. He also argued that Watson had succeeded in proving that the Bank had discriminated against this class, and that the case should be remanded so that appropriate relief could be ordered. 798 F.2d at 800-815.

[ Footnote 2 ]

Both concurrences agree that we should, for the first time, approve the use of disparate impact analysis in evaluating subjective selection practices. Unlike JUSTICE STEVENS, we believe that this step requires us to provide the lower courts with appropriate evidentiary guidelines, as we have previously done for disparate treatment cases. Moreover, we do not believe that each verbal formulation used in prior opinions to describe the evidentiary standards in disparate impact cases is automatically applicable in light of today's decision. Cf. post at 487 U. S. 1000 -1001, 487 U. S. 1005 -1006 (BLACKMUN, J., concurring in part and concurring in judgment). Congress expressly provided that Title VII not be read to require preferential treatment or numerical quotas. 42 U.S.C. § 2000e-2(j). This congressional mandate requires, in our view, that a decision to extend the reach of disparate impact theory be accompanied by safeguards against the result that Congress clearly said it did not intend.

[ Footnote 3 ]

Faced with the task of applying these general statements to particular cases, the lower courts have sometimes looked for more specific direction in the EEOC's Uniform Guidelines on Employee Selection Procedures, 29 CFR pt. 1607 (1987). See, e.g., Bushey v. New York State Civil Service Comm'n, 733 F.2d 220, 225-226 (CA2 1984), cert. denied, 469 U. S. 1117 (1985); Firefighters Institute v. St. Louis, 616 F.2d 350, 356-357 (CA8 1980), cert. denied sub nom. Saint Louis v. United States, 452 U.S. 938 (1981). These Guidelines have adopted an enforcement rule under which adverse impact will not ordinarily be inferred unless the members of a particular race, sex, or ethnic group are selected at a rate that is less than four-fifths of the rate at which the group with the highest rate is selected. 29 CFR § 1607.4(D) (1987). This enforcement standard has been criticized on technical grounds, see, e.g., Boardman & Vining, The Role of Probative Statistics in Employment Discrimination Cases, 46 Law & Contemp.Prob., No. 4, pp. 189, 205-207 (1983); Shoben, Differential Pass-Fail Rates in Employment Testing: Statistical Proof Under Title VII, 91 Harv.L.Rev. 793, 805-811 (1978), and it has not provided more than a rule of thumb for the courts, see, e.g., Clady v. County of Los Angeles, 770 F.2d 1421, 1428-1429 (CA9 1985), cert. denied, 475 U.S. 1109 (1986).

Courts have also referred to the "standard deviation" analysis sometimes used in jury selection cases. See, e.g., Rivera v. Wichita Falls, 665 F.2d 531, 536, n. 7 (CA5 1982) (citing Casteneda v. Partida, 430 U. S. 482 (1977)); Guardians Association of New York City Police Dept. v. Civil Service Comm'n of New York, 630 F.2d 79, 86, and n. 4 (CA2 1980) (same), cert. denied, 452 U.S. 940 (1981). We have emphasized the useful role that statistical methods can have in Title VII cases, but we have not suggested that any particular number of "standard deviations" can determine whether a plaintiff has made out a prima facie case in the complex area of employment discrimination. See Hazelwood School Dist. v. United States, 433 U. S. 299, 433 U. S. 311, n. 17 (1977).

Nor has a consensus developed around any alternative mathematical standard. Instead, courts appear generally to have judged the "significance" or "substantiality" of numerical disparities on a case-by-case basis. See Clady, supra, at 1428-1429; B. Schlei & P. Grossman, Employment Discrimination Law 98-99, and n. 77 (2d ed.1983); id. at 18-19, and n. 33 (Supp.1983-1985). At least at this stage of the law's development, we believe that such a case-by-case approach properly reflects our recognition that statistics "come in infinite variety, and... their usefulness depends on all of the surrounding facts and circumstances." Teamsters v. United States, 431 U. S. 324, 434 U. S. 340 (1977).

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