Question

Grace and Maria are practicing for a fitness test. Each day, they do as many curl-ups as they can in 1 min. Which measures could best be used to argue that Maria is better at doing curl-ups than Grace is? Mean MAD Min Q1 Median Q3 Max Grace 36 3.25 30 32.5 37 38.5 43 38 4.5 Maria 24 35.5 39 42.5 45

Answer 1

For option A:

MAD and IQR:

MAD means Mean Absolute Deviation:

This is the measure that records the deviation from the average number of curl-ups that both girls can do.

Therefore, if the value of MAD is higher, it just means that the person tends to vary by a larger value, on the number of curl-ups she does.

In this question, Maria has a higher MAD of 4.5 while Grace's MAD is 3.25. This means that Grace's curl-ups tend to be closer to the average number of curl-ups she does over a period of time. While Mar