What is the mathematical formula for the pooled variance of two populations?

Layla Melton

Layla Melton

Answered question

2023-03-17

What is the mathematical formula for the pooled variance of two populations?

Answer & Explanation

Alexis West

Alexis West

Beginner2023-03-18Added 9 answers

V p = ( n 1 - 1 ) s 1 2 + ( n 2 - 1 ) s 2 2 n 1 + n 2 - 2
Explanation:
As shown by, the pooled standard deviation is
S p = ( n 1 - 1 ) s 1 2 + ( n 2 - 1 ) s 2 2 n 1 + n 2 - 2
Remove the square root operator for variation
V p = ( n 1 - 1 ) s 1 2 + ( n 2 - 1 ) s 2 2 n 1 + n 2 - 2

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?