Two-Way Frequency Tables Worksheet
Explore and interpret two-way frequency tables with this Grade 8 math worksheet, focusing on relative frequencies and associations.
Includes
Standards
Topics
Two-Way Frequency Tables
Name:
Date:
Score:
Read each question carefully and use the provided two-way frequency tables to answer. Show all your work for calculations.
A two-way frequency table shows the observed frequencies for two categorical variables. The categories for one variable are represented by the rows, and the categories for the other variable are represented by the columns.
The table below shows the results of a survey asking students if they prefer reading books or watching movies, broken down by gender.
| Preference \ Gender | Male | Female | Total |
|---------------------|------|--------|-------|
| Books | 25 | 35 | 60 |
| Movies | 40 | 20 | 60 |
| Total | 65 | 55 | 120 |
1. How many students participated in the survey?
2. How many females prefer books?
Using the same table from above, complete the following statements:
3. The relative frequency of male students who prefer movies is (as a decimal rounded to two places).
4. The percentage of students who prefer books is .
Consider the following two-way frequency table about pet ownership and living situation:
| Pet \ Living | Apartment | House | Total |
|--------------|-----------|-------|-------|
| Has Pet | 15 | 45 | 60 |
| No Pet | 30 | 10 | 40 |
| Total | 45 | 55 | 100 |
5. Is there an association between living in a house and owning a pet? Explain your reasoning using relative frequencies.
A survey asked 150 people if they prefer coffee or tea. 70 prefer coffee, and 80 prefer tea. Of those who prefer coffee, 40 are female. Of those who prefer tea, 30 are male.
6. How many females prefer tea?
30
40
50
60