Abby's MAD is 45 and her IQR is 51.5. Caleb's MAD is 28 and his IQR is 16. The coach should choose Caleb.
MAD
Simply calculate the mean (average) of all the data and find the maximum deviation. Make sure you look at data both larger and smaller than the mean. e.g. Abby:
(146+147+178+231+195+209+207+219+187)/9 = 191
The data with the largest deviation from the mean is 146, so 191-146=45
IQR
To compute the quartiles, the data must be put into ascending order of value. I will use Caleb's data set as an example; please see the photo for details.
Therefore, because both Caleb's MAD and his IQR are lower than those of Abby, the coach should choose him.
