Algebra Homework: Box-and-Whisker Plots
Name ____________________________
Miss Chen organized 11 of her students’ quarter grades in the box-and-whisker plot below. None of
the students earned the same grade. Use the plot to answer the following questions.
60
62
64
66
68
70
72
74
76
78
80
82
84
86
88
90
92
94
96
98 100 102
1) What is the range of the quarter grades in Miss Chen’s class? ___________________________
2) What fraction of the grades are between 79 and 84? __________________________________
3) What fraction of the grades are between 79 and 96? __________________________________
4) What is the upper extreme of the box and whisker plot above? ___________________________
5) If a student with an 88 average for the quarter was added to the box-and-whisker plot, how
would the box-and-whisker plot change?
____ 6) Suppose another grade is added to the data set. Which of the following grades would be
considered an outlier based on the above box-and-whisker plot?
a. 64
c. 89
b. 55
d. 97
____ 7)
Part of the box-and-whisker plot Jim was creating is shown below.
What could be missing from Jim’s plot?
A
B
C
D
Upper extreme
Lower extreme
Upper quartile
Median
8) The box plots below represent the points scored by the Washington Nationals and their opponents
in the first 20 games of the 2013 season.
Washington Nationals
Opponent
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
1) What is the median number of runs scored by the Washington Nationals? __________________
2) Which statements about these plots appear to be true?
In one game, the Washington Nationals scored 10 points.
There are more elements in the lower quartile on the opponent’s plot than on the Washington
National’s plot since the whisker on the opponent’s plot is longer.
The interquartile range for the Nationals is smaller than the interquartile range for their opponent.
Both the Nationals and their opponents scored fewer than 7 runs in 15 of the games.
The range of scores for the opponents is greater than the range of scores for the Nationals.
3) Is it possible to determine the score of a game based on the box-and-whisker plots?
4) Is it possible to determine whether the Nationals had a winning record or a losing record after the
first 20 games? Use the box-and-whisker plots to justify your answer.
5) Make a box-and-whisker plot for the following set of data: 1, 5, 2, 2, 6, 3, 7, 9, 4, 2, 8
Identify and label the following: Lower extreme, lower quartile, median, upper quartile, and upper
extreme