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Standard Deviation Confidence Interval For Variance Calculator

Calculate the standard deviation confidence interval for variance with the known values of confidence level and sample size.

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Confidence Interval For Variance Calculation

Confidence Level = %
Sample Size (n) =
Variance (S) =  

 

Confidence Interval for Variance = ≤ σ² ≤

 
   
  
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Formula
Standard Deviation Confidence Interval for Variance = [(n-1)×S² / χ²α/2, n-1] ≤ σ² ≤ [(n-1)×S² / χ²1-α/2, n-1]

Where,
    n = Sample Size
    S = Variance
    α = 1 - (Confidence Level/100)
    χ²α/2, n-1 = χ²-table value

The calculation of standard deviation confidence interval for variance is made easier here.