First slide

Introduction to statistics

Question

If the ratio of mode and median of a distribution is 6 : 5, then the ratio of its mean and median is

Moderate

A

$8 : 9$
B

$9 : 10$
C

$9 : 7$
D

$8 : 11$

Solution

We have
$Mode: Median = 6 : 5 \Rightarrow Mode = 6 λ, Median = 5 λ$
Now,
$\begin{array}{l} Mode = 3 Median - 2 Mean \\ \Rightarrow 6 λ = 3 \times 5 λ - 2 Mean \Rightarrow Mean = \frac{9}{2} λ \\ ∴ Mean : Median = \frac{9 λ}{2} : 5 λ = 9 : 10 \end{array}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App