Question

The weights (in pounds) of a sample of 36 individuals were recorded and the following statistics were calculated. mean = 160 range = 60 mode = 165 variance = 324 median = 170 The coefficient of variation equals a. 11.25%. b. 0.1125%. c. 0.20312%. d. 203.12%.

Answer 1

a. 11.25%.

Explanation:

Coefficient of variation: This is the ratio of the standard deviation to the mean expressed in percentage. It is useful in statistic for comparing the degree of variation between two data set.

it can be expressed mathematically as,

Coefficient of variation = (σ/μ) × 100 Where σ= Standard deviation, and μ = mean

But: Standard deviation(σ) = √variance

And Variance = 324 ∴ σ = √324 = 18.

Mean (μ) = 160.

∴ Coefficient of variation = (18/160) × 100

Coefficient of variation = 11.25%