Confidence Interval for Population Variance Calculator

Determine the range within which the true population variance likely lies, based on your sample data.

Variance calculated from your sample data.

Number of observations in your sample.

The desired confidence level for the interval.

Results

Lower Bound:
Upper Bound:

Visualization

Visual representation of the confidence interval for population variance.

Confidence interval range visualized on a scale. The central line does not represent sample variance in this visualization, but rather the interval range.

Understanding Confidence Interval for Variance

A confidence interval for population variance provides a range of values within which the true population variance is likely to fall. It's crucial in statistics to estimate the variability of a population. This calculator uses the chi-square distribution, appropriate when dealing with variance and assuming a normally distributed population. The inputs are sample variance, sample size, and confidence level. The output gives you a lower and upper bound, defining the interval. A higher confidence level widens the interval, increasing the certainty that the true variance is within the calculated range.

For further reading, you can refer to resources on statistical inference and confidence intervals in statistics textbooks or online statistical resources.