The​ box-and-whisker plot shown to the right represents the quiz scores of Mrs.​ Collins' math class. Did more students score 45​-95 points or 95​-110 ​points?

30
45
60
75
90
105
120

x y graph
Question content area bottom
Part 1
Choose the correct answer below.
A.
More students scored 95​-110 points than 45​-95 points.
B.
More students scored 45​-95 points than 95​-110 points.
C.
The number of students who scored 45​-95 points is equal to the number of students who scored 95​-110 points.

1 answer

To determine which group of students scored more points based on the box-and-whisker plot, we need to look at the distribution of the data represented by the plot. Box-and-whisker plots show the minimum, first quartile (Q1), median, third quartile (Q3), and maximum of a data set.

Generally, if we consider the sections of the scores:

  • Scores from 45 to 95 would typically cover the lower part of the data set, including scores at or below the median.
  • Scores from 95 to 110 would cover the upper part of the data set, including those scores above the median to the upper quartile.

Without seeing the actual box-and-whisker plot, we can still deduce that:

  • If the median is closer to 95 or above, more students likely scored in the 95-110 point range.
  • Conversely, if the median is below 95, more students likely scored in the 45-95 point range.

Since we do not have the specifics of the plot's quartiles and distribution, we cannot provide a definitive answer. However, the question provides three options:

A. More students scored 95​-110 points than 45​-95 points. B. More students scored 45​-95 points than 95​-110 points. C. The number of students who scored 45​-95 points is equal to the number of students who scored 95​-110 points.

Please refer to the plot to identify the median and its quartiles which will allow you to choose the correct answer based on the number of students lying within each specified score range.