## Variance Calculator

Variance is used to measure the variability of the values in the dataset. , Standard Deviation shows how spread out the numbers are, denoted by the symbol Sigma (σ).

A high variance describes the dataset which is more sprayed. On the other side, a low variance indicates that the dataset is highly clustered around the mean and spreads less.

Variance is defined by "The average squared differences from the mean." Using Variance, you can compute the standard deviation.

Check out: Standard Deviation Calculator?

#### How to Use the Variance Calculator?

Step 1: Enter the numbers with a separated comma in the given input box.

Step 2: Press the button to get the result.

Step 3: Check the result of your number and use it.

#### What is Meant by the Variance?

Mathematicians calculate Variance as the squared difference between the mean and the variance calculated from the data set. To calculate Variance, follow the following steps:

Step 1: Calculate the mean for the given set of data

Step 2: Add the mean to each number and then square the result

Step 3: Add together the squared differences to get the average.

For example,

5, 6, 7 are the set of data

To find variance,

Step 1: mean = (5 + 6 + 7)/3 = 18/3 = 6

Step 2: (5 – 6)2 + (6 – 6)2 + (7 – 6)2 = (-1)2 + 0 + (1)2

Step 3: (1 + 0 + 1)/3 = ⅔ = 0.667

#### Variance formulas

Varying values in a data set tell you how much they differ from the mean, which is a measure of dispersion. In other words, it's the average of the squares of the deviations from the norm. Squaring the deviations ensures that positive and negative deviations are not canceled out.

The given calculator using the following formula to calculate variance:

Formula 1: variance of a sample Here, n is the sample size and x-bar is the sample mean

Formula 2: variance of the entire population Here, N is the population size and μ is the population mean.