Lesson 2
Relative Frequency Tables
Problem 1
A teacher asks their students whether they studied for a quiz, then scores the quiz. A relative frequency table displays some of the information they collected.
studied | did not study | |
---|---|---|
passed quiz | 86% | 14% |
failed quiz | 46% | 54% |
What does the 86% represent?
Solution
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Problem 2
The accessory choices of 143 people are recorded in the table.
wearing a watch | no watch | |
---|---|---|
wearing a belt | 62 | 32 |
no belt | 29 | 20 |
Create a relative frequency table that could be used to show the percentages of belt wearers who wear a watch or not, as well as the percentages of people without belts who wear a watch or not.
Solution
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Problem 3
Scientists give two different treatments to people who have the flu and determine if their health improves. The results for the test are in the two-way table.
treatment 1 | treatment 2 | |
---|---|---|
improved health | 23 | 25 |
no improvement | 17 | 35 |
- What percentage of people receiving treatment 1 had improved health?
- What percentage of people receiving treatment 2 had improved health?
Solution
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Problem 4
A group of people are surveyed about whether they have any brothers or sisters or are an only child, and whether they have any pets.
have sibling | only child | |
---|---|---|
have pets | 82 | 105 |
no pets | 141 |
Which value could go in the blank cell so that the percentage of only children that have no pets is 37.5%?
63
82
175
205
Solution
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Problem 5
Many adults are selected at random to respond to a survey about their favorite season and whether they have allergies or not. The two-way table summarizes the results from the survey.
allergies | no allergies | |
---|---|---|
winter | 43 | 21 |
spring | 12 | 13 |
summer | 35 | 33 |
fall | 33 | 35 |
- Which season is the least popular in this group?
- How many more people have allergies than people without allergies in this group?
- How many people were surveyed in this group?
Solution
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(From Unit 3, Lesson 1.)Problem 6
A random sample of people are asked about their preferences regarding home decoration and their interest in fashion. Complete the two-way table so it has the characteristics listed.
- 150 people responded to the survey.
- 70% of the responders do not pay attention to fashion.
- 33 of the responders who prefer neutral decorations also do not pay attention to fashion.
- 20 of the responders who pay attention to fashion also prefer colorful decorations in their homes.
prefer colorful decorations | prefer neutral decorations | |
---|---|---|
pay attention to fashion | ||
do not pay attention to fashion |
Solution
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(From Unit 3, Lesson 1.)