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# Sample Variance Calculator English Español German 中国 Português Pусский 日本語 Türk

Given here is the free online Sample Variance Calculator to calculate the sample variance for the given set of data which is applied in sample and population statistics. It is defined as measuring how much a sample differ from each other in a range of sample values.

## Sample Variance Calculation

#### Result:

Given here is the free online Sample Variance Calculator to calculate the sample variance for the given set of data which is applied in sample and population statistics. It is defined as measuring how much a sample differ from each other in a range of sample values.

Formula: Where, σ = Sample Variance X = Input Value μ = Mean N = Number of Scores

Use our free online sample variance calculator to measure how each number in a set is far from the mean. Sample variance refers to variation of the data points in a single sample. A sample is a selected number of items taken from a population. It is calculated by taking the differences between each number in the set and the mean, squaring the differences and dividing the sum of the squares by the number of values in the set. In short Sample Variance is used to calculate how varied a sample is. In this online sample variance calculator enter the values separated by a comma and you get the variance for the given range of data.

### Example

#### Sample Variance

Lets consider x value 4,8,2,9.
Find the mean value to get sample varians σ2
μ = (4 + 8 + 2 + 9) / 4
μ = 5.75

Find th sum of difference of sample data to the mean and square the obtained value (x - μ)2
4 = 3.0625
8 = 5.0625
2 = 14.0625
9 = 10.5625
∑(x - μ)2 = 3.0625 + 5.0625 + 14.0625 + 10.5625
∑(x - μ)2 = 32.75

Then, dividing by the total value which is subtracted by 1 (N-1)
σ2 = 32.75 / (4 - 1)
σ2 = 10.9167