Population Variance Calculator

Online population variance calculator which is used to calculate the variance of data for the whole population. Population variance can be generally derived by dividing the sum of the squared deviation from the mean value. This variance can be found with the simple steps given below.

Step 1: Subtract each value in the population data from the mean.
Step 2: Square the result value.
Step 3: Find the average by adding all the squared numbers and dividing it from the total number.

Calculate Population Variance

Result:

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Formula: Population Variance Formula Where, σ = Population Variance X = population Data μ = Mean N = Number of Scores

Example

Population Variance

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

Find th sum of difference of population 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 (N)
σ2 = 32.75 / 4
σ2 = 8.1875

Calculation of Population Variance is made easier using this online statistics calculator.

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