Pooled Standard Deviation Calculator

Calculate pooled standard deviation from two independent groups. Used in t-tests with equal variance assumption.

Enter Group Data

Example Data Sets:

Pooled Standard Deviation

2.517041

Pooled Variance

6.335498

Degrees of Freedom

11

Group 1:

n1:

6

Mean:

28.8333

Std Dev:

2.639444

Group 2:

n2:

7

Mean:

38.8571

Std Dev:

2.410295

Combined Sample Size

13

What is Pooled Standard Deviation?

Pooled standard deviation combines the variability from two or more groups into a single estimate, assuming all groups have equal population variances. It is the square root of the pooled variance and is commonly used in two-sample t-tests and ANOVA.

Formula

Sp = sqrt[(SS1 + SS2) / (n1 + n2 - 2)]

Where SS1 and SS2 are the sum of squared deviations from each group.