Question

explain any three propertise od arithematic mean ​

Answer 1

Properties of Arithmetic Mean

→ Some important properties of the arithmetic mean are as follows:

• The sum of deviations of the items from their arithmetic mean is always zero, i.e. ∑(x – X) = 0.
• The sum of the squared deviations of the items from Arithmetic Mean (A.M) is minimum, which is less than the sum of the squared deviations of the items from any other values.
• If each item in the arithmetic series is substituted by the mean, then the sum of these replacements will be equal to the sum of the specific items.