Question

The mean and median of a moderately skewed distribution are 42.2 and 41.9 respectively. Find mode of the distribution.

Answer 1

$\boxed{Mode\:=\:3\: \times \:median\:-\:2 \times\:mean}$

GIVEN:

• Mean = 42.2
• Median = 41.9

TO FIND : Mode

$\underline{\sf{Solution}}$

$\longrightarrow \sf\:Mode = 3 \times 41.9 - 2 \times 42.2 \\ \\ \longrightarrow \sf\: 125.7 - 84.4 \\ \\ \longrightarrow \sf\: 41.3$

Mode = $\boxed{41.3}$

Answer 2

Given :

• Mean of a moderately skewed distribution = 42.2

• Median of a moderately skewed distribution = 41.9

To find :

• Distribution of the mode =?

Formula Used :

• Mode = 3 × median - 2 × mean

Step-by-step explanation :

It is Given that,

Mean = 42.2

Median = 41.9

Mode =?

As We know that,

Mode = 3 × median - 2 × mean

Substituting the values in the above formula, we get,

= 3 × 41.9 - 2 × 42.2

= 125.7 - 84.4

= 41.3

Therefore, Distribution of the mode = 41.3