Confidence Interval for a Standard Deviation Calculator

confidence interval for a population standard deviation is a range of values that is likely to contain a population standard deviation with a certain level of confidence.
The formula to calculate this confidence interval is:
Confidence interval = [√(n-1)s2/X2α/2, √(n-1)s2/X21-α/2]
  • n: sample size
  • s2: sample variance
  • X2: Chi-Square critical value with n-1 degrees of freedom
To find a confidence interval for a population standard deviation, simply fill in the boxes below and then click the “Calculate” button.

95% C.I. = [5.0637, 8.8119]

You can be 95% confident that the interval [5.0637, 8.8119] contains the true population standard deviation.

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