Question

Consider the two statements about two golfers:
• Jason has has a mean score of 272 points per match with a Mean Absolute Deviation of 8 points.
• Brooks has a mean of 272 points per match with a Mean Absolute Deviation of 2 points.
Which of the statements below is true based on the above statements?

Question 14 options:

a)Jason is more consistent.


B)Brooks is more consistent.


C)Both Jason and Brooks are equally consistent.


D)Mean Absolute Deviation is not a measure of spread.

Answer 1

Answer:

Since Brooks has a Mean Absolute deviation of 2 point which is smaller than that of Jason  which is 8 points, therefore, the Brooks's scores are more consistent than Jason's. So, option (B) is the correct answer.

Step-by-step explanation:

The Mean Absolute deviation for any data set is the average distance or deviation between each data and the mean. Mean Absolute deviation is a statistical tool to analyze how the datas are spread out in a series. It is an important tool to analyze the variability of datas. It is calculated by using the formula:

MAD = $\frac{\sum (X - \left |\bar{X}|\right)}{N}$

The larger the value of MAD or the larger the space in a data set is, the more variable the data set is and vice versa. The Smaller the value of Mean Absolute deviation is, the more consistent the data is and vice versa. Since Brooks has a Mean Absolute deviation of 2 point which is smaller than that of Jason which is 8 points, therefore, the Brooks's scores are more consistent than Jason's.

So, option (B) is the correct answer.