**Population
Variance Formula**

The population Variance Formula in mathematics is sigma squared equals the sum of x minus the mean squared divided by n.

Let us understand the concept of
population variance in detail below. Take an example, where one teacher needs
to find out the average speed for the students taking in reading the
comprehension pages. Each student is assigned six pages in the classrooms to
read.

A teacher could find the average
time here but this information is not just the right technique to analyze the
clear picture of her students. Few of them read content very fast while others
are just the average. It gives the average taken to read the total content not
the actual details about each of the students.

So, you need to find the sample
variance of the collected data here. Variance in simple words could be defined
as the how far a set of numbers are spread out. This is actually very different
from calculating the average or mean of data from a set of number. The variance
formula is already given at the top for your reference.

You just need to plugin values in
the formula and calculated the needed output. When there is equal difference
between first, second, and the third term then find the average or mean here.
In case, the difference between terms is larger then you should find the
variance for a particular set of data.

The two most common categories of
Variance include – Population Variance and the Sample Variance. Population is
defined as the total number of members in a particular group while sample is
just a part of the population that is used to describe the whole group.