The​ box-and-whisker plots to the right represent the quiz scores of two classes taught by Mr. Park and Mr. Holmes. Answer the following questions about the two classes.

Mr. Park
Mr. Holmes
50
56
62
68
74
80
86
92
98
104
Question content area bottom
Part 1
The low score in Mr. Park's class is
  
56.
Part 2

The high score in Mr. Park's class is
  
92.
Part 3

The middle​ 50% of the scores in Mr. Park's class are between
  
68 and
  
86 ​(from lowest to​ highest).
Part 4

The low score in Mr. Holmes's class is
  
50.
Part 5

The high score in Mr. Holmes's class is
  
74.
Part 6

The middle​ 50% of the scores in Mr. Holmes's class are between
  
56 and
  
68 ​(from lowest to​ highest).
Part 7

Which class has the greater range of quiz​ scores?
Mr. Park's class
Mr. Holmes's class

1 answer

To determine which class has the greater range of quiz scores, we need to calculate the range for both classes. The range is defined as the difference between the highest and lowest scores in a dataset.

Mr. Park's Class:

  • Low score: 56
  • High score: 92

Range = High score - Low score = 92 - 56 = 36

Mr. Holmes's Class:

  • Low score: 50
  • High score: 74

Range = High score - Low score = 74 - 50 = 24

Comparison of Ranges:

  • Mr. Park’s class range: 36
  • Mr. Holmes’s class range: 24

Conclusion:

Mr. Park's class has the greater range of quiz scores.