First slide

Introduction to statistics

Question

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

Moderate

A

$4 : 3$
B

$7 : 6$
C

$7 : 8$
D

$5 : 2$

Solution

We have,
$\frac{Mean}{Median} = \frac{2}{3} \Rightarrow Mean = 2 λ and Median = 3 λ$
$∴$ $Mode = 3 Median - 2 Mean$
$\Rightarrow Mode = 9 λ - 4 λ = 5 λ$
$Mode: Mean = 5 λ : 2 λ = 5 : 2$

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