Chapter 8 Lessons 1-2 Test
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University of West Alabama *
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Mathematics
Date
Jan 9, 2024
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docx
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6
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Date
1.
You want to estimate the number of students in your school who support extra funding for the math club. You survey the first 15 students who arrive at a math class. Is the sample biased? 2.
You want to determine the number of students in your school who have visited a public library. You survey 32 students at random. Twenty-four have visited a public library, and eight have not. So, you conclude that 75% of the students in your school have visited a public library. Is your conclusion valid? 3.
You and a group of friends want to know how many students in your school prefer country music. There are 420 students in your school. Each person in the group randomly surveys 20 students. The table shows the results.
97
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Big Ideas Math: Modeling Real Life Grade 7
All rights reserved.
Assessment Book
Chapter
8
Test For Section 8.1 and 8.2
a.
Use each sample to make an estimate for the number of students in your school who prefer country music. b.
Describe the center and variation of the estimates. 4.
You want to know the mean number of shirts students in your county own. At each of five schools you randomly survey ten students. Your results are shown. Use all five samples to make one estimate for the mean number of shirts students in your county own. 5.
You want to estimate the number of students in your school who support extra funding for the history club. You survey every fourth student who enters the school. Is the sample biased?
6. You want to determine the number of students in your school who have visited a theater. You survey 35 students at random. Twenty-one have visited a theater, and fourteen have not. So, you conclude that 60% of the students in your school have visited a theater. Is your conclusion valid? 98
Big Ideas Math: Modeling Real Life Grade 6
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Assessment Book
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A: 5, 6, 7, 4, 5, 6, 6, 8, 9, 8
B: 11, 9, 8, 8, 9, 6, 12, 14, 7, 8
C: 4, 2, 7, 4, 3, 8, 5, 6, 4, 7
D: 12, 10, 8, 7, 9, 6, 8, 8, 9, 10
E: 15, 7, 8, 11, 9, 9, 12, 13, 9, 14
Favorite Type of Music
Country
Pop
Rock
Rap
You
1
4
10
5
Friend A
3
5
9
3
Friend B
2
3
8
7
Friend C
1
2
13
4
Friend D
1
5
10
4
7. You and a group of friends want to know how many students in your school prefer rock music. There are 400 students in your school. Each person in the group randomly surveys 20 students. The table shows the results.
a.
Use each sample to make an estimate for the number of students in your school who prefer rock music. b.
Describe the center and variation of the estimates. 8.
You want to know the mean number of sick days taken by students in your county last year. At each of five schools you randomly survey ten students. Your results are shown. Use all five samples to make one estimate for the mean number sick days taken by students in your county last year. 9.
You want to estimate the number of students in your school who support extra 99
Copyright © Big Ideas Learning, LLC
Big Ideas Math: Modeling Real Life Grade 7
All rights reserved.
Assessment Book
A: 0, 1, 1, 5, 0, 6, 0, 2, 3, 9
B: 0, 0, 0, 5, 30, 6, 8, 1, 2, 4
C: 11, 8, 1, 0, 0, 0, 4, 4, 4, 6
D: 8, 0, 10, 8, 6, 7, 9, 2, 1, 1
E: 2, 4, 5, 0, 5, 0, 5, 4, 0, 20
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funding for the math club. You survey the first 18 students who arrive at a math class. Is the sample biased? 10.
You want to determine the number of students in your school who have visited a public library. You survey 50 students in the book club. Forty-three have visited a public library, and seven have not. So, you conclude that 86% of the students in your school have visited a public library. Is your conclusion valid? 11.
You and a group of friends want to know how many students in your school prefer rap music. There are 320 students in your school. Each person
in the group randomly surveys 20 students. The table shows the results.
Favorite Type of Music
Country
Pop
Rock
Rap
You
4
1
5
10
Friend A
5
1
4
10
Friend B
7
2
3
8
Friend C
3
3
5
9
Friend D
4
1
2
13
100
Big Ideas Math: Modeling Real Life Grade 6
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Assessment Book
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a.
Use each sample to make an estimate for the number of students in your school who prefer rap music. b.
Describe the center and variation of the estimates. 12.
You want to know the mean number of hours spent on
homework by students in your county last week. At each of five schools you randomly survey ten students. Your results are shown. Use all five samples to make one estimate for the mean number of hours spent on homework by students in your county last week. Identify the population and the sample. Write P for population or S for Sample in the blank
13.
All students in a school _________
14.
75 strawberries in a field _______
30 students in the school ________
All the strawberries in the field _______
Determine whether the sample is biased
or unbiased
. Underline the part of the sentence that makes it biased or unbiased.
15.
You want to estimate the number of students in your school who are on athletic teams outside of school. You survey members of your school’s athletic teams. _______________________________________________________________
16.
You want to estimate the number of students in your school who think there should be healthier school lunches available. You ask every 5th person waiting in the cafeteria lunch line.
______________________________________________________________
Determine whether the statement is valid or invalid
. Underline the part of the sentence that makes it biased or unbiased.
101
Copyright © Big Ideas Learning, LLC
Big Ideas Math: Modeling Real Life Grade 7
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Assessment Book
A: 6, 8, 6, 10, 14, 12, 2, 1, 1, 3
B: 12, 10, 8, 8, 7, 8, 8, 6, 5, 10
C: 4, 5, 4, 3, 7, 6, 9, 9, 2, 10
D: 3, 3, 1, 3, 20, 16, 0, 4, 8, 6
E: 0, 4, 8, 6, 7, 7, 10, 10, 7, 2
17. Jase wanted to see what everybody thinks about math. He asked everybody that was in the math club.
__________________________________________________________
18. Every tenth student on the roster was asked to come take a survey on the best sport the school offers.
__________________________________________________________
19. At her field hockey practice, Janet surveyed the athletes on the girls' hockey team to determine which sports teenagers like best. __________________________________________________________
20. The student council advisor asked every 10th student in the lunch line how they prefer to be contacted with school news.
___________________________________________________________
102
Big Ideas Math: Modeling Real Life Grade 6
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Assessment Book
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