Question
Download Solution PDFFor the recorded observation, the coefficient of variation is 20 and the variance is 16. The arithmetic mean is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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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