A test prep company gives its students a pretest before the course and a posttest after the
course is completed. The test prep company picks a random sample of 10 students from each
testing session. The results are listed below.
Pretest Scores
520, 510, 550, 580, 600, 480, 480, 460, 460, 640
Posttest Scores
510, 480, 510, 610, 590, 670, 550, 560, 600, 610
Make a dot plot for the sample of pretest scores and a separate dot plot for the
sample of posttest scores.
A survey of 7th graders asks girls and boys how many baseball caps they own. The results are
below.
Girls
8, 6, 4, 18, 3, 7, 5, 8, 8, 7
Boys
9, 18, 9, 7, 10, 15, 18, 10, 9, 12
Make a box plot for the number of baseball caps girls own and a separate box plot
for the number of baseball caps boys own.
Carol wants to know how many people live in each household in her town. She conducts two
random surveys of 10 people each and asks how many people live in their home. Her results
are listed below.
Sample A
1, 6, 2, 4, 4, 3, 5, 5, 2, 8
Sample B
3, 4, 5, 4, 3, 2, 4, 5, 4, 4
Make a dot plot for Sample A and a separate dot plot for Sample B.
Property of Cy-Fair Middle School Math Dept.
The high school is buying shoes for the boys’ football team and boys’ soccer team. The sizes
of a random sample of the player’s feet is shown. The results are shown below.
Football Team Shoe Sizes
13, 8, 10, 9, 10, 11, 10, 6, 11, 10, 10
Soccer Team Shoe Sizes
10, 6, 6, 3, 8, 5, 7, 6, 5, 6, 6
Make a box plot for the shoe sizes of the football team and a separate box plot for
the shoe sizes of the soccer team.
Property of Cy-Fair Middle School Math Dept.
Name: _______________________
Date: _______________________
Pretest scores
460
480
500
520
540
560
580
600
620
640
660
680
Posttest scores
460
480
500
520
540
560
1. Compare the dot plots. The plots have a similar
580
600
center / spread
620
640
660
680
but the posttest values are
shifted to the _____________.
2. 70% of students received a grade below ___________ on the pretest, while 70% of students received
a grade below ___________ on the posttest.
3. The range of grades for the pretest is ____________ while the range of grades for the posttest is
_____________.
4. What is the mode(s) for the pretest? ___________________
5. Compare the mode(s) of the pretest to the mode(s) of the posttest. ___________________________
____________________________________________________________________________________
6. What can you conclude about the populations by comparing the dot plots for the sample?
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
Property of Cy-Fair Middle School Math Dept.
Girls
0
5
10
15
20
5
10
15
20
Boys
0
1. The plot for boys has a
lesser / greater
range, but a
lesser / greater
interquartile range. The middle 50% of caps was less spread out for the ___________.
2. What is the range? Girls: _________
Boys: __________
3. What is the IQR?
Boys: __________
Girls: _________
4. The minimum number of baseball caps owned by girls is _____________, while the minimum number
of baseball caps owned by boys is ____________.
5. Which box plot, girls or boys, has an outlier? ____________ Based off of the data, the outlier is
__________. Explain. ________________________________________________________________
6. What can you conclude about the populations by comparing the box plots for the samples?
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
Property of Cy-Fair Middle School Math Dept.
Sample A
0
1
2
3
4
5
6
7
8
9
10
1
2
3
4
5
6
7
8
9
10
Sample B
0
1. Find the mean and range for both sample groups.
Sample A Mean: _________ Range: _________
Sample B Mean: _________ Range: ________
2. Compare the dot plots. Which number of people that live in each household are the same for both
samples? ________
3. In sample B, 50% of the data has ________ people living in their household.
4. In sample A, the bottom 50% of the data has ________ to ________ people living in their household.
5. In sample A, the top 20% of the data has _______ to _______ people living in their household, while
in sample B, the top 20% of the data has __________ people living in their household.
6. What can you conclude about the populations by comparing the dot plots for the samples?
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
____________________________________________________________________________________
Property of Cy-Fair Middle School Math Dept.
Football Team
3
4
5
6
7
8
9
10
11
12
13
5
6
7
8
9
10
11
12
13
Soccer Team
3
4
1. Find the mean for both teams.
Football team Mean: ________
Soccer team Mean: _________
What can you conclude about the populations by comparing the means?
____________________________________________________________________________________
____________________________________________________________________________________
2. Football Team: Range _________
Soccer Team:
Range _________
IQR ___________
IQR ___________
3. What conclusions can you make about the populations by comparing the IQR and range?
____________________________________________________________________________________
____________________________________________________________________________________
4. Top 25% of the surveyed football team has a shoe size between ________ and ________.
5. Bottom 50% of the surveyed soccer team has a show size between _________ and ________.
Property of Cy-Fair Middle School Math Dept.