Name _______________________________
Box Plots Recording Document
Slides 4-6
The points scored by a basketball player for eight games are:
16, 23, 6, 18, 10, 12, 20, 14
Use the number line below to create a box plot of the data.
What is the spread of the data? __________
What is the median of the data? ________
What do you notice about the distribution of the data? _______________________________________
What is the Q1 or lower quartile? ________
What is the Q3 or upper quartile? ________
What is the interquartile range? _________
Slide 7
The owner of a blueberry farm created a box plot based off of the number of gallons of berries picked over
11 days. The box plot for the data set with and without the outlier are shown below.
How does the outlier affect the interquartile range of the data?
_________________________________________________________________________________
Which is affected more by the outlier: the range or the interquartile range?
_________________________________________________________________________________
Name _______________________________
Box Plot Practice
Use the box plot to answer questions 1 through 6.
The following box plot summarizes the weights of 20 football players at Texas A&M.
1. A good estimate of the interquartile range (IQR) is ________.
A.
5
B.
28
C.
268
D.
90
2. A weight of 270 pounds falls ________.
A.
below the 3rd quartile
C.
B.
between the 1st and 2nd quartile
D.
between the 2nd and 3rd quartile
above the 3rd quartile
3. 75% of the players weighed more than ________.
A.
210 pounds
B.
240 pounds
C.
267 pounds
D. 243 pounds
4. The spread of the data can be described as _________________.
A.
210 pounds to 300 pounds
C.
240 pounds to 300 pounds
B.
210 pounds to 240 pounds
D.
240 pounds to 267 pounds
5. Which set of data could be represented by this box plot?
6.
A.
210, 225, 240, 241, 242, 244, 248, 250, 251, 280, 300
B.
210, 225, 240, 241, 242, 244, 248, 250, 268, 280, 300
C.
210, 240, 244, 275, 300
D.
210, 240, 241, 244, 250, 300
The value of the first quartile is _________________.
A.
240
B.
210
C.
230
D.
244
Name _______________________________
7. Create a box plot using the data set below. Use the box plot to answer questions a - h below.
51, 65, 76, 74, 72, 90, 55, 70
5
10
15
20
25
30
35
40
45
50
55
60
65
70
75
80
85
90
95
A. Minimum _______
B. Maximum _______
C. Range ____________
D. 1st Quartile ________
E. 2nd Quartile __________
F. 3rd Quartile __________
G. Percent of data above 60 ________
H. Percent of data above 75 ____________
Use this box plot to answer problems 8 through 16.
5
8.
15
60
110
225
Minimum Value _____
Maximum Value _______
IQR ____________
1st Quartile ________
2nd Quartile ________
3rd Quartile __________
9.
What is the range between the first and 2nd quartile? ______________
10.
What is the range of the data based on the box plot above? ____________
11.
What percent of the numbers fall above 15? ______________
12.
What percent of the numbers fall below 60? __________
13.
What percent of the numbers fall between 5 and 110? _________
14.
What number represents the median? __________
15.
What percent of the data fall above 110? _________
16.
What percent of the data fall between 15 and 110? __________
Name _______________________________
The data below represents the number of points scored by LeBron James and James Hardin in their last 9
games. Use these box plots to answer questions 17 through 23.
LeBron James
James Hardin
17.
Which player had the largest spread of points scored? _____________________________
18.
What is a good estimate of the interquartile range for LeBron? ______________________________
19.
True or False
20.
Which player has a greater spread of points scored below the 2nd quartile? ____________________
21.
About what percent of the games did Lebron James score about 40 points? ____________________
22.
True or False
23.
About what percent of the games did James Hardin score between 26 and 43 points? ___________
Both players had a median of 35 points scored.
LeBron had more games in which he scored less than 35 points than James Hardin.