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Name_______________________________________
Unit Six Study Guide Grade 5
1. Which is the definition for the median of a data set?
[A] largest value
[B] most frequent value
[C] smallest value
[D] middle value
2. Which is the definition for the maximum of a data set?
[A] largest value
[B] most frequent value
[C] middle value
[D] smallest value
3. Which is the definition for the mode of a data set?
[A] smallest value
[B] middle value
[C] most frequent value
[D] largest value
4. Which is the definition for the minimum of a data set?
[A] most frequent value
[B] largest value
[C] smallest value
[D] middle value
5. Cathy asked 5 girls in her fifth grade class how many CDs each owned. The results of her
survey are shown below.
1, 5, 5, 6, 1
a. What was the median number of CDs owned?___________________
b. Cathy concluded, “The typical fifth grade student owns about 5 CDs.” Do you agree with her
conclusion? Explain.
c.. Describe two ways Cathy could improve her survey.
1._________________________________________________________________________
2._________________________________________________________________________
Solve.
4
8
6.
+ 
19 19
7.
12 7
 
13 13
Solve.
8. 6 
9.
3

4
5 1
+ 
9 8
10.
11.
14 4
 
15 5
1
8
7

16
Solve.
5
12.
6
3

8
13.
14.
4
5
5

7
4
5
1

2
15. a. Which fraction pair is represented in the drawing below?
2
3
and
3
4
1
2
and
2
3
2
8
and
5
15
4
1
and 1
5
15
b. Write a pair of fractions with common denominators for the figures in part (a) above.
_____________________________
_______________________________
c. Explain how you would use the multiplication rule to find common denominators for the
fraction pair you circled in part (a).
______________________________________________________________________________
16. Cindy was writing a report on the activities of school students. To start, she gave a survey to
10 students in her class. The following were three of the questions:
A. How many movies do you see in a year?
B. How many hours do you sleep each night?
C. How many hours do you study after school each day?
The graphs below show the answers to two of these questions.
Graph I
x
x x
x x x x
40
x
x
x
45
50
Graph II
x
x
x
x
x
x
x
x
x
x
1
2
3
4
5
a. Which question does Graph I represent?___________________________________________
b. Which question does Graph II represent? _________________________________________
17. Which stem-and-leaf plot has a median of 25 and mode of 27?
Stem
Leaves
(10s) (1s)
[A]
3 0553
4
023
5
15 6 7
Stem
Leaves
(10s) (1s)
[B]
1 034
2
0577
3
11
Stem
Leaves
(10s) (1s)
[C]
3 0553
4
0577
5
156 7
Stem
Leaves
(10s) (1s)
[D]
1 034
2
023
3
11
18. The data below shows the final exam grades for Mr. Damon’s history class.
45, 32, 58, 52, 49, 36, 47, 56, 26, 51, 55, 42, 35, 54, 39
a. Explain the mistake in the stem-and-leaf plot for the exam grades.
Stem Leaves
2 6
3 2569
4 2579
5 12 456
b. Give the correct stem-and-leaf plot for these grades.
19. a. Use a ruler to draw a line segment 3
1
inches long.
2
1
inch from this line segment, how long would it be?_____________________
5
c. If you draw a line segment twice as long as the original line segment, how long should it be?
b. If you erased
20. Tonya and Manuel each made a graph based on the survey of favorite types of animals for
5th grade students. The results of the survey were as follows:
giraffe: 20%
monkey: 40%
zebra: 40%
100
90
80
70
60
50
40
30
20
10
0
Manuel’s Graph
zebra
Kind of Animal
Percent of Students
Tonya’s Graph
giraffe
monkey
zebra
monkey
giraffe
0 1 2 3 4 5 6 7 8 9 10
a. Whose bar graph best represents the survey results?___________________________
b. If 100 students answered the survey, how many of them chose monkey?
-______________________________________
c. If 10 students answered the survey, how many of them chose zebra?______________
d. If 50 students answered the survey, how many of them chose giraffe?____________
e. If you were trying to choose a favorite animal for a documentary, how many 5th grade
students would you interview? Explain why you chose that number.
____________________________________________________________________________
21. Explain one way to rename
1
as a percent without using a calculator.
5
____________________________________________________________________________
Answer Key
[1] [D]
[2] [A]
[3] [C]
[4] [C]
[5] a. 5 CDs
b. Answers may vary.
c. Answers may vary. Sample answer: Ask more students. Ask boys and girls.
[6]
12
19
[7]
5
13
[8] 5
[9]
1
4
49
72
[10]
2
15
[11]
9
16
[12]
11
24
[13] 1
[14]
18
35
3
10
[15] a.
1
2
and
2
3
6
8
and
12
12
c. Answers may vary. Sample answer: Multiply the two denominators to get a common
denominator of 12.
b. Sample answer:
[16] a. Graph I is for question A.
b. Graph II is for question C.
[17] [B]
[18] a. 58 does not appear in the stem-and-leaf plot.
b. Correct stem-and-leaf plot:
Stem Leaves
2 6
3 2569
4 2579
5 12 4568
[19] a. Check students’ work. The line segment should be 3
1
inches long.
2
3
inches
10
c. 7 inches
b. 3
[20] a. Tonya’s bar graph best represents the data.
b. 40
c. 4
d. 10
e. Answers may vary. Sample answer: All the students, as increasing the sample size would give
a better estimate.
[21] Answers may vary. Sample answer: Rewrite
1
20
20
1
as
;
 20%, so  20%.
100 100
5
5