Question
Download Solution PDFIf the mean of a certain set of data is 16 and variance is 4 then find the coefficient of variance.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
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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