Answer:
(C) They are the same
Step-by-step explanation:
The coefficient of variation CV is given by the following formula:
[tex]CV = \frac{\sigma}{\mu}[/tex]
In which [tex]\sigma[/tex] is the standard deviation and [tex]\mu[/tex] is the mean.
Bob's weight has a mean of 200 pounds with a standard deviation of 16 pounds
This means that [tex]\sigma = 16, \mu = 200[/tex].
So his coefficient of variation is
[tex]CV = \frac{16}{200} = 0.08[/tex]
Mary's weight has a mean of 125 pounds with a standard deviation of 10 pounds.
This means that [tex]\sigma = 10, \mu = 125[/tex]
So her coefficient of variation is
[tex]CV = \frac{10}{125} = 0.08[/tex]
They have the same coefficient of variation, so the correct answer is.
(C) They are the same
