Calculate relative frequencies in two-way tables to investigate associations in data.
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A survey asked a group of people if they play bingo. The results are shown in the two-way table below.
Play bingo | Do not play bingo | TOTAL | |
Younger than 30 years | 25 | 150 | 175 |
30 years or older | 10 | 2 | 12 |
TOTAL | 35 | 152 | 187 |
Use the data in the two-way table from Anchor Problem #1 to calculate the row relative frequencies. Write them in the blank table below.
Play bingo | Do not play bingo | TOTAL | |
Younger than 30 years | |||
30 years or older | |||
TOTAL | n/a | n/a | n/a |
A sample of 400 participants (teachers and students) were randomly selected from the middle schools in Boston. They were asked which type of movie they preferred: action, drama, science fiction, or comedy. The results are shown in the two-way table below.
Movie Preference | |||||
Action | Drama | Science Fiction | Comedy | Total | |
Student | 120 | 60 | 30 | 90 | 300 |
Teacher | 40 | 20 | 10 | 30 | 100 |
Total | 160 | 80 | 40 | 120 | 400 |
Movie Preference | |||||
Action | Drama | Science Fiction | Comedy | Total | |
Student | |||||
Teacher | |||||
Total |
Grade 8 Mathematics > Module 6 > Topic D > Lesson 14 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
Modified by The Match Foundation, Inc.?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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All the students at a middle school were asked to identify their favorite academic subject and whether they were in the 7th grade or 8th grade. Here are the results:
Favorite Subject by Grade
Grade | English | History | Math/Science | Other | Totals |
7th Grade | 38 | 36 | 28 | 14 | 116 |
8th Grade | 47 | 45 | 72 | 18 | 182 |
Totals | 85 | 81 | 100 | 32 | 298 |
Is there an association between favorite academic subject and grade for students at the school? Support your answer by calculating appropriate relative frequencies using the given data.
What’s Your Favorite Subject?, accessed on April 12, 2018, 11:09 a.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
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