How does the Confidence Interval for Variance and Standard Deviation Calculator work?
Free Confidence Interval for Variance and Standard Deviation Calculator - Calculates a (95% - 99%) estimation of confidence interval for the standard deviation or variance using the χ2 method with (n - 1) degrees of freedom.
This calculator has 3 inputs.
This calculator has 3 inputs.
What 4 formulas are used for the Confidence Interval for Variance and Standard Deviation Calculator?
Degrees of Freedom = n - 1
Square Root((n - 1)s2/χ2α/2) < σ < Square Root((n - 1)s2 / χ21 - α/2)
Square Root((n - 1)s2/χ2α/2) < σ2 < Square Root((n - 1)s2 / χ21 - α/2)
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Square Root((n - 1)s2/χ2α/2) < σ < Square Root((n - 1)s2 / χ21 - α/2)
Square Root((n - 1)s2/χ2α/2) < σ2 < Square Root((n - 1)s2 / χ21 - α/2)
For more math formulas, check out our Formula Dossier
What 5 concepts are covered in the Confidence Interval for Variance and Standard Deviation Calculator?
- confidence interval
- a range of values so defined that there is a specified probability that the value of a parameter lies within it.
- confidence interval for variance and standard deviation
- a range of values that is likely to contain a population standard deviation or variance with a certain level of confidence
- degrees of freedom
- number of values in the final calculation of a statistic that are free to vary
- standard deviation
- a measure of the amount of variation or dispersion of a set of values. The square root of variance
- variance
- How far a set of random numbers are spead out from the mean
Example calculations for the Confidence Interval for Variance and Standard Deviation Calculator
Confidence Interval for Variance and Standard Deviation Calculator Video
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