Question

If mean=150 and mode=190 Ina moderately asymmetrical distribution what will be the Marian value
Ans

Answer 1

Answer:

here mean=150, mode=190

We know mode= 3median- 2mean

median= mode+2mean/3

median= 190+2*150/3

median= 490/3

median= 163.33

Answer 2

The median of the distribution = 163.33

Correct question : If mean = 150 and mode = 190 in a moderately asymmetrical distribution what will be the median value

Given :

In moderately asymmetrical distribution mean = 150 and mode = 190

To find :

The median of the distribution

Concept :

For moderately asymmetrical distribution there is an approximate relation between Mean , Mode , median and it is given by

Mean - Mode = 3 (Mean - Median)

⇒ 3 × Median = 2 × Mean + Mode

Solution :

Step 1 of 2 :

Write down the mean and mode

Here it is given that in moderately asymmetrical distribution mean = 150 and mode = 190

Step 2 of 2 :

Calculate median of the distribution

3 × Median = 2 × Mean + Mode

⇒ 3 × Median = (2 × 150) + 190

⇒ 3 × Median = 300 + 190

⇒ 3 × Median = 490

⇒ Median = 490/3

⇒ Median = 163.33 (approx)

Hence median of the distribution = 163.33

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