Question

1 If mean is 34.5, and s.d is 5 ,find the coefficient of variance​

Answer 1

Coefficient of variable is 14.493

Answer 2

The coefficient of variance​ = 14.5%

• A statistical measurement of the data points in a data series' dispersion around the mean is the co-efficient of variation (CV). Even when the means are vastly dissimilar from one another in the data set, the co-efficient of variation, which measures the standard deviation in relation to the mean, is a helpful statistic measure for assessing how much variation there is between data series.
• The co-efficient of variation demonstrates the degree of data variability in a sample in comparison to the population mean. The co-efficient of variation in finance enables investors to assess how much risk, or volatility, is assumed relative to the amount of return anticipated from investments. The better the risk-return tradeoff, the lower the ratio of standard deviation to mean return should be as a result of the co-efficient of variation formula.

Here, according to the given information, we are given that,

Mean = 34.5

Standard deviation = 5.

Then, we know that,

Coefficient of variance​ =

$\frac{Standard deviation}{Mean}.100\\ =\frac{500}{34.5}$

=14.5%

Hence, the coefficient of variance​ = 14.5%

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