Single-Sample Confidence Interval Calculator

This simple confidence interval calculator uses a t statistic and sample mean (M) to generate an interval estimate of a population mean (μ).

The formula for estimation is:

μ = M ± t(s_M)

where:

M = sample mean
t = t statistic determined by confidence level
s_M = standard error = √(s²/n)

As you can see, to perform this calculation you need to know your sample mean, the number of items in your sample, and your sample's standard deviation. (If you need to calculate mean and standard deviation from a set of raw scores, you can do so using our descriptive statistics tools.)

The Calculation

Please enter your data into the fields below, select a confidence level (the calculator defaults to 95%), and then hit Calculate. Your result will appear at the bottom of the page.

Sample Mean (M):
Sample Size (n):
Standard Deviation (s):
Confidence Level:

Please enter your values above, and then hit the calculate button.