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?

Options

• Mean of A = Mode of C

•  Mean of C = Median of B

•  Median of B = Mode of A

• 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

MEAN = `(2+3+7+1+3+2+3)/7`

`=21/7`

=3

Arranging the data A in ascending order, we have

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

MEDIAN = `((7+1)/2)^(th)` value

=4^th value  

= 3

Since, 3 occurs maximum number of times, MODE = 3

MEAN = MEDIAN = MODE