Enter the sample size of the first sample, the sample size of the second sample, and the sample variance for sample 1 into the Pooled Variance Calculator. The calculator will evaluate the Pooled Variance.

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## Pooled Variance Formula

The following formula is used to calculate the Pooled Variance.

PV = (n-1)*S1 + (m-1)*S2 / (n+m-2)

Variables:

- PV is the Pooled Variance ( )
- n is the sample size of the first sample
- m is the sample size of the second sample
- S1 is the sample variance for sample 1
- S2 is the sample variance for sample 2

## How to Calculate Pooled Variance?

The following steps outline how to calculate the Pooled Variance.

- First, determine the sample size of the first sample.
- Next, determine the sample size of the second sample.
- Next, determine the sample variance for sample 1.
- Next, determine the sample variance for sample 2.
- Next, gather the formula from above = PV = (n-1)*S1 + (m-1)*S2 / (n+m-2).
- Finally, calculate the Pooled Variance.
- After inserting the variables and calculating the result, check your answer with the calculator above.

**Example Problem:**

Use the following variables as an example problem to test your knowledge.

sample size of the first sample = 34

sample size of the second sample = 100

sample variance for sample 1 = 13

sample variance for sample 2 = 13

PV = (n-1)*S1 + (m-1)*S2 / (n+m-2) =** ** ?