Question

A teacher promised a movie day to the class that did better, on average, on their test. The box plot shows the results of the test:

box plot labeled 2nd period with min at 77, Q1 at 78, median at 89, Q3 at 92, max at 100. Box plot labeled 4th period with min at 72, Q1 at 82.5, median at 89, Q3 at 96, max at 97.5

Which class should get the reward, and why?

Answer 1

I say it is C. Basically I just eliminate the potential answered down. A could not be the one since not all student in 2nd period got 100% and average students got below 95%. B cannot be it since both box plot have the same median. I do not think D is it because of how the answer is told. "The 4th period class should get the reward. Their lowest score is an outlier, and should be thrown out," it sound childish and makeing a joke to put "and should be thrown out." I may be wrong but that is my opinion. The relatively the best and reasonable answer is C.

Answer 2

The 4th period class should get the reward.

Explanation:

• The max score in 2nd period is 100% but the average students got below 95% in 2nd period class.
• Though the medians are the same, but the first and third quartiles are higher in 4th period than that of 2nd period,
• So the students did better on average in 4th period class than in the 2nd period class.

So, relatively 4th period class did better in their test and should get the reward