Question
Download Solution PDFIn a cricket match, the scores of the players are considered such that coefficient of variation of scores is 16 and mean is 25 .then the variance is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Mean = (μ) = 25
coefficient of variation (CV) = 16
Formula used:
Coefficient of variation = (Standard Deviation / mean) × 100
Variance = (Standard Deviation)2
Calculation:
Coefficient of variation = (Standard Deviation / mean) × 100
⇒ 16 = (Standard Deviation / 25) × 100
⇒ 16 = Standard Deviation × 4
⇒ Standard Deviation = 16/4 = 4
Now,
Variance = (Standard Deviation)2 = 42 = 16
∴ The required answer is 16.
Last updated on Jun 26, 2025
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