# What is the variance of {12, 6, 7, 0, 3, -12}?

##### 1 Answer

Feb 16, 2016

#### Answer:

Population variance:

Sample variance:

#### Explanation:

To calculate the variance:

- Calculate the arithmetic average (the
**mean**) - For each data value
**square the difference**between that data value and the mean - Calculate the
**sum of the squared differences**

If your data represents the entire population:

4. Divide the sum of the squared differences by the number of data values to get the **population variance**

If your data represents only a sample taken from a larger population

4. Divide the sum of the squared differences by 1 less than the number of data values to get the **sample variance**