Statistics

To find the variance given the coefficient of variation (CV) and the mean, we can use the following relationship:
The formula for the coefficient of variation (CV) is given by:
CV=‌

σ

µ

×100
where σ is the standard deviation and µ is the mean.
In this problem, the coefficient of variation is 25 , and the mean (µ) is 44 . Substituting these values into the equation, we have:
‌

σ

44

×100=25
Solving for σ, we get:
σ=‌

25×44

100

=11
The variance (σ2) is the square of the standard deviation:
σ2=112=121
Therefore, the variance is 121 .