Hypergeometric Distribution Variance Calculator

Hypergeometric Distribution Variance Calculator

Enter the population size, number of successes in the population, and sample size.

* Note: The variance is calculated as $$ \sigma^2 = n \frac{K}{N}\left(1-\frac{K}{N}\right)\frac{N-n}{N-1}. $$

Step 1: Enter Parameters

Total number of items in the population.

Number of successes in the population.

Number of items drawn in the sample.

How It Works

The variance of a hypergeometric distribution is given by: $$ \sigma^2 = n \frac{K}{N}\left(1-\frac{K}{N}\right)\frac{N-n}{N-1}. $$

Where:
\(N\) = Population size,
\(K\) = Number of successes in the population,
\(n\) = Sample size.

Hypergeometric Distribution Variance Calculator

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