Question
Download Solution PDFIf xi | fi, i = 1, 2 … n is a frequency distribution with standard deviation 15 and mean 30, the coefficient of variation will be equals to:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Xi/fi I = 1, 2, ----n is a frtequency distribution
Standard deviation = σ = 15
Mean = x̅ = 30
Formula
Coefficient of variation = CV = σ/x̅ ) × 100
Calculation
⇒ CV = (15/30) × 100
∴ The coefficient of variance is 50%
Imp
Standard deviation = σ = ∑(x – x̅)2]/n
x = observations
x̅ = mean
n = number of observation
Coefficient of variation = The coefficient of variation shows the extent of variability of data in a sample in relation to the mean of the population.
The coefficient of variation allows investors to determine how much volatility, or risk, is assumed in comparison to the amount of return expected from investmernt.
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