For the recorded observation, the coefficient of variation is 20 and the variance is 16. The arithmetic mean is:

This question was previously asked in
SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. 18
  2. 16
  3. 20
  4. 14

Answer (Detailed Solution Below)

Option 3 : 20
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Detailed Solution

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Given:

Coefficient of variation (CV) is 20

Variance is 16

Concept

The coefficient of variation (CV)  is defined as the ratio of the standard deviation  to the mean 
CV = \(\rm \rm \frac{\sigma }{\mu }\) × 100

Calculation:

Standard deviation (σ) = 4

⇒ CV = \(\rm \frac{\sigma }{\mu }\) × 100

⇒ 20 = \(\rm \frac{4}{\mu }\) × 100

∴ The arithmetic mean is: 20

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