Statistics-And-Probability Question 618

Question: For a series the value of mean deviation is 15. The most likely value of its quartile deviation is

Options:

A) 12.5

B) 11.6

C) 13

D) 9.7

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Since, $ MD=\frac{4}{5}\sigma ,QD=\frac{2}{3}\sigma $
$ \Rightarrow \frac{MD}{QD}=\frac{6}{5}\Rightarrow QD=\frac{5}{6}(MD)=\frac{5}{6}.(15)=12.5 $