Confidence Interval Calculator — Free Online Calculator & Guide
Calculate confidence intervals for a population mean. Breaks out the Margin of Error (MOE), critical Z-value, and standard error.
Confidence Interval
Results below
Enter Values
Lower Bound
48.355
Upper Bound
51.645
Critical Value (Z)
1.645 (90% confidence)
Standard Error (SE)
1
Sample Size
100 (large sample)
Formula
CI = x̄ ± Z × (s/√n) = 50 ± 1.645 × (10/√100) = [48.355, 51.645]
Scenario Comparison
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Confidence Interval
[48.355, 51.645]
Lower
48.355
Margin of Error
±1.645
Upper
51.645
Critical Z
1.645 (90% confidence)
Std Error
1
MOE = Z × SE
±1.645
Formula Application
CI = x̄ ± Z × (s/√n) = 50 ± 1.645 × (10/√100) = [48.355, 51.645]
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