How to Calculate Variance from Standard Deviation (STDEV) Explained
Learn how to find variance by squaring the standard deviation (STDEV) in simple steps. Understand the relationship between variance and STDEV.
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To find the variance using the standard deviation (STDEV), you'll first need to calculate the STDEV of your data set. Once you have the STDEV value, simply square it (multiply it by itself) to get the variance. This works because the variance is essentially the average of the squared differences from the mean, and the standard deviation is the square root of this value. By squaring the STDEV, you're returning to the original variance calculation.
FAQs & Answers
- What is the formula to find variance using standard deviation? Variance is found by squaring the standard deviation value: Variance = (Standard Deviation)².
- Why do we square standard deviation to find variance? We square the standard deviation because it is the square root of variance; squaring it returns to the original variance measurement, which represents the average squared difference from the mean.
- Can variance be negative if calculated from standard deviation? No, variance cannot be negative because it is calculated as the average of squared differences, and squaring any real number results in a non-negative value.