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Mean Square Calculator

The Mean Square Calculator is a free online tool for calculating the mean square of a set of numbers.

Mean Square Calculator

Please enter numbers. Numbers separated by commas or new lines:

Eg, a set of numbers 5, 8, 7, 9 and 10? Enter 5, 8, 7, 9, 10 into the input box and click Calculate button.

Calculate Reset

What is the mean square?

The mean square is the average of the squared values of a set of numbers

The formula is as follows

mean square formulaThe square root of the mean square is called the root mean square and can be used as an estimator for the standard deviation of a random variable.

How to use the mean square calculator

Using the calculator is simple, follow these 2 steps:

  • 1Enter numbers in the input box. Separate each number with a comma or newline.
  • 2Click Calculate button to calculate the mean square of input numbers, or click Reset button to start a new calculation.

For example, the mean square of numbers 1 to 10.

MS = 12 + 22 + 32 + 42 + 52 + 62 + 72 + 82 + 92 + 10210

= 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 10010

= 38510

= 38.5

As shown in the figure, the result of the mean square calculator calculation is also 38.5.

the mean square of numbers 1 to 10.

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