Properties of Arithmetic Mean

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Properties of Arithmetic Mean

Following are the properties of arithmetic mean 

  1. Mean of constant number is the constant.
  2. The sum of the deviations of a set of values from their arithmetic man is always equal to zero.
  3. The sum of the squares of deviations of a set of values from their mean is minimum.
  4. If a constant value is added or subtracted (change of origin) to each value of a set of data, the arithmetic mean will also be added or subtracted by the same constant.
  5. If a constant value is multiply or divide (change of scale) to each value of a set of data, the arithmetic mean will also be multiply or divide by the same constant.
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