Confidence Interval Calculator

The confidence interval for a mean: mean ± z·(SD/√n).

Result

Margin of error

5.37

Lower bound

94.63

Upper bound

105.37

How it works

CI = mean ± z · (SD ÷ √n)

A confidence interval is the range likely to contain the true mean. A 95% interval means that, over many samples, 95% of such intervals would capture the real value.

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Frequently asked questions

What does 95% confidence mean?

If you repeated the sampling many times, about 95% of the intervals would contain the true mean.

How do I narrow the interval?

Increase the sample size or lower the confidence level — both shrink the margin of error.

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