# Mean Squared Deviation Calculator

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

## Mean Squared Deviation Calculator

More about the
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Mean Squared Deviation
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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 :