Question

A, B, C are three sets of values of x:

(a) A: 2, 3, 7, 1, 3, 2, 3
(b) 7, 5, 9, 12, 5, 3, 8
(c) 4, 4, 11, 7, 2, 3, 4

Which one of the following statements is correct?

(a) Mean of A = Mode of C

(b) Mean of C = Median of B

(c) Median of B = Mode of A

(d)Mean, Median and Mode of A are equal.

Answer 1

For the data A: 2, 3, 7, 1, 3, 2, 3 of 7 numbers, we have

Arranging the data A in ascending order, we have

A: 1, 2, 2, 3, 3, 3, 7

Since, 3 occurs maximum number of times,

Hence, the correct choice is (d).

Note that if it happens that the result is not found in the first step then we must follow the same procedure for the other data’s.