To clear the calculator and enter a new data set, press “Reset”. The calculation of variance can be carried out by using the sample variance calculator and population variance calculator above. When you do not have data for the entire population, you calculate the sample variance from the sampled data. Unlike population variance, when calculating the sample variance, you divide by (n – 1); in this case, the resulting statistic is unbiased. Use the variance calculator to compute both sample variance and population variance, complete with a step-by-step solution, and then present the results in APA format. The variance is one of the measures of dispersion, that is a measure of by how much the values loss on sale of equipment in the data set are likely to differ from the mean of the values.

Usually, you don’t have access to the entire population’s data because it can be costly to gather all the data or may damage the sample. The sample average is a bit closer to the center of the sample than the population average. As a result, if you were to divide by n, on average, the sample average would be greater than the population variance. Dividing by (n-1) will correct the biased estimation of the variance, and partially correct the biased estimation of the variance (Bessel’s correction).

## How to use a variance calculator?

The sample variance is still biased, but this correction makes it the best simple formula. Variance calculator is used to find the actual distance of the data values from the mean. This calculator provides the result of the mean, standard deviation, and the sum of squares along with steps. To calculate the variance from a set of values, specify whether the data is for an entire population or from a sample. Values must be numeric and may be separated by commas, spaces or new-line.

- As a result, if you were to divide by n, on average, the sample average would be greater than the population variance.
- To calculate the variance from a set of values, specify whether the data is for an entire population or from a sample.
- To clear the calculator and enter a new data set, press “Reset”.

## Sample variance formula

In statistics, the term variance refers to a statistical measurement of the spread between numbers in a data set from the mean. To find the variance using the variance calculator enter the comma-separated values in the box. To calculate the population variance, you need the entire dataset.

## Statistics Calculator: Variance

It is the average of the squares of the deviations from the mean. Squaring the deviations ensures that negative and positive deviations do not cancel each other out. Scroll the above table for more results.Choose the population variance only if you have the data from the entire population, otherwise use the sample variance. Variance calculator and sample variance calculator with a step-by-step solution and APA format. Use sample variance calculator above to cross check the result. The formula of variance is of two types one for the sample variance and the other is for the population variance.

The square root of the variance gives the result of the standard deviation. Use this calculator to compute the variance from a set of numerical values. For an solving resource capacity problems unbiased statistic, we expect to get a standard deviation of 4 and a variance of 16.You may notice that dividing by (n-1) yields better results than dividing by n. The result for the variance is not biased; it is very close to 16, while the result for the standard deviation is biased. Variance is a parameter that measures the variability of data. It represents the average of squared differences between each value and the mean.