If the mean of a certain set of data is 16 and variance is 4 then find the coefficient of variance.

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SSC CGL Tier-II ( JSO ) 2017 Official Paper ( Held On : 22 Feb 2018 )
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  1. 25
  2. 12.5
  3. 10
  4. 20

Answer (Detailed Solution Below)

Option 2 : 12.5
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Detailed Solution

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Given

Arithmetic mean =  (μ) = 16

variance = σ2 = 4

Formula

Standard deviation = σ = √variance

CV = Coefficient of variation σ/μ

σ = Standard deviation

μ = Mean

Calculation

Standard deviation =  σ = √4 = 2

⇒ CV = (σ/μ) × 100

⇒ CV = (2/16) × 100

∴ Coefficient of variation is 12.5

 
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