If the ratio of mean and median of a certain data is 2:3, then find the ratio of its mode and mean.

Options

A. 4 : 3
B. 7 : 6
C. 7 : 8
D. 5 : 2

Answer

D

Explanation

(i) Substitute, median `=(3)/(2)` mean in empirical relation.
(ii) Mode = 3 Median - 2 Mean.
(iii) Express median in terms of mean according to the given data.
(iv) Now write the ratio of the mode and mean using the relation in (i).