Answer:
(C) They are the same
Step-by-step explanation:
The coefficient of variation CV is given by the following formula:
![CV = \frac{\sigma}{\mu}](https://tex.z-dn.net/?f=CV%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Cmu%7D)
In which
is the standard deviation and
is the mean.
Bob's weight has a mean of 200 pounds with a standard deviation of 16 pounds
This means that
.
So his coefficient of variation is
![CV = \frac{16}{200} = 0.08](https://tex.z-dn.net/?f=CV%20%3D%20%5Cfrac%7B16%7D%7B200%7D%20%3D%200.08)
Mary's weight has a mean of 125 pounds with a standard deviation of 10 pounds.
This means that ![\sigma = 10, \mu = 125](https://tex.z-dn.net/?f=%5Csigma%20%3D%2010%2C%20%5Cmu%20%3D%20125)
So her coefficient of variation is
![CV = \frac{10}{125} = 0.08](https://tex.z-dn.net/?f=CV%20%3D%20%5Cfrac%7B10%7D%7B125%7D%20%3D%200.08)
They have the same coefficient of variation, so the correct answer is.
(C) They are the same