Statistics

Central Limit Theorem Calculator

Find the sampling distribution of the mean.

Calculated Output

Sampling mean 100

Standard error 2.5

Formula: mean stays; SE = σ ÷ √n

Step-by-Step Breakdown

1. Values used:

2. Population mean = 100

3. Population SD = 15

4. Sample size = 36

6. Sampling mean = 100

7. Standard error = 2.5

Did this calculator solve your problem today?

The math behind it

The sampling distribution of the mean has the same mean and a standard error of σ ÷ √n.

μ 100, σ 15, n 36 → SE = 2.5.

How big must n be?

About 30 is enough for most distributions to look normal.