Sampling Error Calculator

Find the sampling error for a sample mean.

Sampling error 2.94
Standard error 1.5

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

Step-by-step with your numbers:
1. Values used:
2. Standard deviation = 15
3. Sample size = 100
4. Confidence level = 95 %
5.
6. Sampling error = 2.94
7. Standard error = 1.5
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Sampling error is the margin by which a sample mean may differ from the true mean.

The math behind it

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

Worked example

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

FAQ

How do I reduce it?

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