# Online Variance Calculator

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# Variance calculator

Variance calculator and how to calculate.

## Population variance and sample variance calculator

## Discrete random variable variance calculator

Enter probability or weight and data number in each row:

Here we discuss list of online math calculators that help us for doing calculation easily.

### Variance Calculator

The variance calculator finds variance, standard deviation, sample size n, mean and sum of squares. Variance is a measure of dispersion of data points from the mean. Low variance indicates that data points are generally similar and do not vary widely from the mean. High variance indicates that data values have greater variability and are more widely dispersed from the mean.

Variance Calculator is a free online tool that displays the variance for the given set of data. Online variance calculator tool makes the calculation faster, and it displays the variance in a fraction of seconds.

** How to Use the Variance Calculator?**

The procedure to use the variance calculator is as follows:

1. Enter the numbers separated by a comma in the respective input field

2. Now click the button “Calculate Variance” to get the result

3.Finally, the variance for the given set of data will be displayed in the output field

** What is Meant by the Variance?**

In Mathematics, the variance is a measure which can be calculated from the set of data. It can be calculated by taking the average of the squared difference from the mean. To find out the variance, follow the below procedure:

1. Find out the mean for the given set of data

2. For each number, subtract the mean and then square the obtained result

3. Finally, work out the average of those squared differences.

For example, 5, 6, 7 are the set of data

To find variance,

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

2. (5 – 6)^{ 2}+ (6 – 6)^{2} + (7 – 6)^{2} = (-1)^{2} + 0 + (1)^{2}

3. (1 + 0 + 1)/3 = ⅔ = 0.667

** What is the definition of variance?**

Variance is a measure of the variability of the values in a dataset.A high variance indicates that a dataset is more spread out.A low variance indicates that the data is more tightly clustered around the mean, or less spread out.

Variance formula

Variance (denoted as σ^{2}) is defined as the average squared difference from the mean for all data points. We write it as:

σ^{2} = ∑(xi - μ)^{2} / N

where,

σ^{2} is the variance;

μ is the mean; and

xᵢ represents the ith data point out of N total data points.

You can calculate variance in three steps:

Find the difference from the mean for each point. Use the formula: xi - μ

Square the difference from the mean for each point: (xi - μ)^{2}

Find the average of the squared differences from the mean which you found in step 2:

∑(xi - μ)^{2} / N.

This is the population variance formula.