This question was previously asked in

SSC CGL Tier-II ( JSO ) 2018 Official Paper ( Held On : 14 Sept 2019 )

- 53
- 51
- 50
- 52

Option 3 : 50

Let's discuss the concepts related to Statistics and Coefficient of Variation. Explore more from Mathematics here. Learn now!

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**Given**

Pearsaons measure of skewness = 0.42

Mean = x̅ = 86

Median = M_{d} = 80

**Formula **

Skewness = Sk_{p} = 3(Mean – median)/standard deviation

**Calculation**

0.42 = 3(x̅ - M_{d})/σ

⇒ 0.42 = 3(86 – 80)/σ

⇒ σ = 18/0.42

⇒ σ = 300/7

Coefficient of variation = standard deviation/mean = (σ/x̅) × 100

⇒ CV = (300/7/86) × 100

⇒ (300/7 × 86) × 100

**∴**** Coefficient of variation is 50**

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