Two-Way Frequency Tables Worksheet
This worksheet focuses on interpreting and constructing two-way frequency tables, calculating marginal and conditional probabilities, and understanding associations between categorical variables.
Includes
Topics
Two-Way Frequency Tables
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all work where applicable.
The table below shows the results of a survey asking 100 students about their favorite subject (Math or Science) and their preferred learning style (Visual or Auditory).
Favorite Subject vs. Learning Style
Math
Science
Visual
30
20
Auditory
25
25
1. How many students prefer Math as their favorite subject?
2. What is the marginal relative frequency of students who prefer a Visual learning style?
0.30
0.50
0.20
0.75
3. The conditional relative frequency of students who prefer Math, given that they have an Auditory learning style, is .
4. True or False: There appears to be an association between favorite subject and learning style based on the provided data.
True
False
5. A school surveyed 150 seniors about their plans after graduation: college or vocational school, and whether they plan to stay in-state or move out-of-state. 70 students plan to go to college, and of those, 40 plan to stay in-state. 30 students plan to go to vocational school and stay in-state. Complete the two-way frequency table below.
In-State
Out-of-State
College
Vocational School
Explain how you found the number of students planning to go to college and move out-of-state.