Question

Consider the following statements:
(1) The sum of deviations from mean is always zero
(2) The sum of absolute deviations is minimum when taken around median.
Which of the above statements is/are correct?

• A. 1 only
• B. 2 only
• C. Both 1 and 2
• D. Neither 1 nor 2

Answer 1

The correct option is C Both 1 and 2

By definition of mean, it is the value with minimum deviation about a set of observations.

By definition of median, it is true that the absolute deviation about is minimium as median is the central value in the data set.

Hence, both statements are correct.