Question

In series mode and median respectively 13 and 11 the value of mean will be

Answer 1

By using emphirical formula
mode=3median-2mean
2mean=3median-mode
2mean=3*11-12
2mean=33-12
2mean=21
mean=21/2
mean=10.5

Answer 2

The value of mean = 10

Given :

In series mode and median respectively 13 and 11

To find :

The value of mean

Formula :

Mode + 2 × Mean = 3 × Median

Solution :

Step 1 of 2 :

Write down the mode and Median

Here by the given condition

Mode = 13

Median = 11

Step 2 of 2 :

Find value of mean

Mode + 2 × Mean = 3 × Median

⇒ 13 + 2 × Mean = 3 × 11

⇒ 13 + 2 × Mean = 33

⇒ 2 × Mean = 33 - 13

⇒ 2 × Mean = 20

⇒ Mean = 20/2

⇒ Mean = 10

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