Name: _______________________
Statistics – Variation and Box and Whisker Plots
1
The dot plots show the ages of members of two
different adventure clubs.
Club A
Date: _______
Class: Pre-Algebra
Topic 10
Sheet #4
3
Using the line provided, construct a box-andwhisker plot for the 12 scores below.
4
The test scores from Mrs. Schoen’s math class
are shown below.
Club B
Mean of Club A:
Mean of Club B:
Range of Club A:
Range of Club B:
Compare the two clubs.
Construct a box-and-whisker plot to display these data.
2
The chart below represents depths of recent
earthquakes in kilometers.
The depths have been written in numerical order below.
1, 2, 3, 4, 5, 5, 5, 7, 7, 9, 9, 10, 11, 15
5
5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18, 19, 19
(a) Find the five number summary.
Minimum:
The data set below represents the number of hours
spent on the Internet in a week by students in a
mathematics class.
Third Quartile:
Which box-and-whisker plot represents the data?
First Quartile:
Maximum:
Median:
(b) Make a box and whisker plot using the five number
summary ABOVE the number line below.
A
B
C
Some things to note:
Even though some sections seem bigger than others, they all contain
25% of the data. The reason they seem bigger is that the numbers are
more spread out. Remember, the box and whisker plot shows us the
variability of the values!
D
6
The following list shows the speeds of a few cars,
in mph, on a certain road.
19
20
22
23
25
25
27
30
34
35
40
8
Larry recorded the number of students he saw
each day wearing purple. His data is shown
below. Use the data to answer parts A & B.
25
29
34
38
48
50
54
58
62
66
Part A: What is the lower quartile of the data?
Part A Draw a box plot of the car speed data on the number
line below.
A
34
C
37
B
35.5
D
38
Part B: Which box-and-whisker plot shows the data?
A
Part B Refer to your box plot. Half of the drivers were
driving faster than what speed?
Answer _______ mph
B
Part C Compare the length of the left hand of the box plot to
the length of the right hand of the box plot and explain what
the different lengths mean.
C
D
9
7
10
Ahmed recorded the number of math problems he
did for homework each day. His data is shown
below. Use the data to answer parts A & B.
19
25
26
27
29
29
31
33
35
40
During the last 15 years of his baseball career,
Palma hit the following number of home runs
each season.
8, 11, 19, 20, 22, 24, 32, 32, 33, 35, 36, 36, 38, 40, 40
52
Part A Determine the 5 number summary for the
data.
Part A: What is the upper quartile?
A
34
C 40
B
35
D 52
Part B: Which box-and-whisker plot shows the data?
Part B Using an appropriate scale on the number line
below, construct a box-and-whisker plot for the data.
A
B
What is the range? What does it represent?
C
What is the IQR? What does it represent?
D
Name: _______________________
Statistics – Variation and Box and Whisker Plots
1
Mr. Cellan surveyed the students in his first period gym
class to find out how many times they exercised this
month. The box plot shows the results.
Part A Find the following values.
Minimum:
First Quartile:
Maximum:
Third Quartile:
Range:
Interquartile Range:
Part B What is the median? What does the median
represent?
Part C Make a conclusion about the different lengths of the
sections.
Date: _______
Class: Pre-Algebra
3
Topic 10
Sheet #5
What is the value of the third quartile shown on
the box-and-whisker plot below?
A
6
C
10
B
8.5
D
12
4
John recorded the final score of the Basketville
basketball team for each game. At the end of the
season, he used a box-and-whisker plot to
summarize the scores.
(a) The team played 16 games this season. In how many
games did they score at least 85 points?
A
2
C
8
B
3
D
It’s impossible to tell
(b) What percentage of the scores are less than 75?
A
25
C
75
B
50
D
100
(c) Which interval contains exactly 50% of the scores?
2
A movie theater recorded the number of tickets
sold daily for a popular movie during the month of
the June. The box-and-whisker plot shown below
represents the data for the number of tickets sold,
in hundreds.
A
55 – 90
C
75 – 85
B
55 – 100
D
75 – 90
5
What conclusion can be made using this plot?
A
The second quartile is 600.
B
The mean of the attendance is 400.
C
The range of the attendance is 300 to 600.
D
25% of the attendance is between 300 and 400.
This box-and-whisker plot shows the number of
siblings in a group of students.
Which of the following conclusions can be drawn
from the plot?
A
Most students have more than 3 siblings.
B
Half or more of the students have 1 to 3 siblings.
C
Half of the students have 1 or 2 siblings.
D
Most students have no siblings.
6
The box-and-whisker plot below represents
students’ scores on a recent English test.
What is the value of the upper quartile?
A
68
C
84
B
76
D
94
7
10
What is the range of the data represented in the
box-and-whisker plot shown below?
A
40
C
60
B
45
D
100
11
The box-and-whisker plot below represents the
ages of 12 people.
The box-and-whisker plot below represents the
math test scores of 20 students.
(a) What percentage of these people are age 15 or older?
What percentage of the scores are less than 72?
A
25
C
75
B
50
D
100
8
Based on the box-and-whisker plot below, which
statement is false?
A
25
C
75
B
35
D
85
(b) How many of the people surveyed was age 15 or older?
12
The box-and-whisker plot below represents the
results of test scores in a math class.
What do the scores 65, 85, and 100 represent?
A
The median is 7
B
The range is 12
C
The first quartile is 4
D
The third quartile is 11
9
The box-and-whisker plot below represents a set
of grades in a college statistics class.
What interval contains exactly 50% of the grades?
A
63-88
C
75-81
B
63-95
D
75-88
A
1st quartile, median, 3rd quartile
B
1st quartile, 3rd quartile, maximum
C
Median, 1st quartile, maximum
D
Minimum, median, maximum
13
In the box-and-whisker plot below, what is the 2nd
quartile?
A
25
C
45
B
30
D
50