Mean Squared Deviation Calculator

Instructions: Enter the sample data below and this calculator will provide step-by-step calculation of the Mean Squared Deviation, using the form below;

X values (comma or space separated) =
Name of the random variable (Optional)

Mean Squared Deviation Calculator

More about the Mean Squared Deviation so you can better understand the results provided by this calculator.

For a sample of data, the Mean Squared Deviation, which is computed as the average of squared deviations from the mean, corresponds to a measure of deviation associated to a dataset. Mathematically, we get that the Mean Squared Deviation is computed using the following formula:

$\text{Mean Square Deviation Calculator} = \displaystyle \sum_{i=1}^n \left(\bar x - x_i\right)^2$

A similar measure you would like to consider to complement the results obtained with the mean squared deviation is the mean absolute deviation .

If instead, you need a summary of all descriptive statistics for the given sample data, including measures of central tendency and deviation, please check our step-by-step descriptive statistics calculator :