UnitCompiler
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Confidence Interval Calculator

Estimate population parameter bounds with standard error and margin of error.

Confidence Interval Calculator

Estimate population mean or proportion intervals with margin of error and standard error.

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Confidence Level:
Confidence Interval [Lower, Upper]
[95.84, 104.16]
100 ± 4.16 (Margin of Error)
Margin of Error (MOE)
±4.158
Z* × SE
Standard Error (SE)
2.1213
s / √n
Critical Value (Z*)
1.960
For 95% Confidence

Confidence Interval Formulas

Confidence Interval
CI = x̄ ± (Z* × SE)
Standard Error (SE)
SE = s / √n
Margin of Error (MOE)
MOE = Z* × (s / √n)