Compatibility
Excel 2007 (Compatibility)
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=HYPGEOMDIST()
HYPGEOMDIST returns the probability of a given number of sample successes, given the sample size, population successes, and population size. Use HYPGEOMDIST for problems with a finite population, where each observation is either a success or a failure, and where each subset of a given size is chosen with equal likelihood.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=HYPGEOMDIST(sample_s,number_sample,population_s,number_pop)
Hover argument names in the table for details.
Output typeNumber
Popularity15 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
sample_s |
Number | Required | The number of successes in the sample. |
number_sample |
Number | Required | The size of the sample. |
population_s |
Number | Required | The number of successes in the population. |
number_pop |
Number | Required | The population size. |
▣ Examples
▦ Data
| Cell | Value | Description |
|---|---|---|
A2 |
1 | Number of successes in the sample |
A3 |
4 | Sample size |
A4 |
8 | Number of successes in the population |
A5 |
20 | Population size |
A6 |
1 | Number of successes in the sample |
A7 |
4 | Sample size |
A8 |
8 | Number of successes in the population |
A9 |
20 | Population size |
Hypergeometric distribution for sample and population in cells A2, A3, A4, and A5.
=HYPGEOMDIST(A2,A3,A4,A5)
Result:
0.3633
§ Remarks
- All arguments are truncated to integers.
- If any argument is nonnumeric, HYPGEOMDIST returns the #VALUE! error value.
- If sample_s < 0 or sample_s is greater than the lesser of number_sample or population_s, HYPGEOMDIST returns the #NUM! error value.
- If sample_s is less than the larger of 0 or (number_sample - number_population + population_s), HYPGEOMDIST returns the #NUM! error value.
- If number_sample ≤ 0 or number_sample > number_population, HYPGEOMDIST returns the #NUM! error value.
- If population_s ≤ 0 or population_s > number_population, HYPGEOMDIST returns the #NUM! error value.
- If number_population ≤ 0, HYPGEOMDIST returns the #NUM! error value.
- The equation for the hypergeometric distribution is: where: x = sample_s n = number_sample M = population_s N = number_population HYPGEOMDIST is used in sampling without replacement from a finite population.
✦ Tips
- This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel.
- All arguments are truncated to integers.
- The equation for the hypergeometric distribution is: where: x = sample_s n = number_sample M = population_s N = number_population HYPGEOMDIST is used in sampling without replacement from a finite population.
⚠ Common Errors
#VALUE!
If any argument is nonnumeric, HYPGEOMDIST returns the #VALUE! error value.
Fix: برای همه آرگومانها مقادیر عددی وارد کنید.
#NUM!
If sample_s < 0 or sample_s is greater than the lesser of number_sample or population_s, HYPGEOMDIST returns the #NUM! error value. If sample_s is less than the larger of 0 or (number_sample - number_population + population_s), HYPGEOMDIST returns the #NUM! error value. If number_sample ≤ 0 or number_sample > number_population, HYPGEOMDIST returns the #NUM! error value. If population_s ≤ 0 or population_s > number_population, HYPGEOMDIST returns the #NUM! error value. If number_population ≤ 0, HYPGEOMDIST returns the #NUM! error value.
Fix: Valid values
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