Statistics

Sampling Error Calculator

Find the sampling error for a sample mean.

Calculated Output

Sampling error 2.94

Standard error 1.5

Formula: error = z * (SD / sqrt(n))

Step-by-Step Breakdown

1. Values used:

2. Standard deviation = 15

3. Sample size = 100

4. Confidence level = 95 %

6. Sampling error = 2.94

7. Standard error = 1.5

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The math behind it

error = z * (SD / sqrt(n)). Larger samples shrink the sampling error.

SD 15, n 100, 95% gives about plus or minus 2.94.

How do I reduce it?

Increase the sample size; error falls with the square root of n.