Two-Way Frequency Tables Worksheet
This worksheet provides practice with constructing, interpreting, and analyzing two-way frequency tables for Grade 11 students.
Includes
Standards
Topics
Two-Way Frequency Tables
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. A survey was conducted to determine the preferred fruit among students at a high school. The results are summarized below:
- 80 students prefer apples, 40 of whom are male.
- 60 students prefer bananas, 35 of whom are female.
- 40 students prefer oranges, 25 of whom are male.
Complete the two-way frequency table below.
Fruit
Male
Female
Total
Apples
Bananas
Oranges
Total
2. Using the completed table from Question 1, what is the relative frequency of female students who prefer bananas?
3. In a survey about pet ownership, 150 households were asked if they own a cat or a dog. 70 households own a cat, 80 households own a dog, and 30 households own both. Which of the following statements is true?
40 households own only a cat.
50 households own only a dog.
30 households own neither a cat nor a dog.
All of the above.
4. If P(A|B) = P(A), then events A and B are independent.
True
False
5. A school newspaper surveyed 200 students about their favorite sport (basketball or soccer) and their grade level (9th or 10th). The results are shown in the table below:
Sport
9th Grade
10th Grade
Total
Basketball
50
70
120
Soccer
30
50
80
Total
80
120
200
a) What is the probability that a randomly selected student is in 9th grade and prefers basketball?
b) What is the probability that a randomly selected student prefers soccer, given that they are in 10th grade?
c) Are the events 'prefers basketball' and 'is in 9th grade' independent? Justify your answer.