Two-Way Frequency Tables Worksheet
Explore two-way frequency tables, relative frequencies, and conditional probabilities with this Grade 10 math worksheet.
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Two-Way Frequency Tables
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Read each question carefully and fill in the blanks, select the correct option, or write your answers in the space provided. Show all your work for short answer questions.
A survey was conducted at a high school to determine students' preferences for either soccer or basketball, categorized by gender. The results are shown in the two-way frequency table below.
Soccer Basketball Total
Male 70 50 120
Female 40 90 130
Total 110 140 250
1. The total number of students surveyed is .
2. The number of female students who prefer basketball is .
3. The total number of students who prefer soccer is .
4. What is the joint relative frequency of male students who prefer soccer?
0.28
0.48
0.7
0.56
5. What is the marginal relative frequency of students who prefer basketball?
0.56
0.44
0.36
0.64
6. What is the conditional relative frequency that a student prefers soccer, given that the student is male? Express your answer as a decimal rounded to two decimal places.
7. What is the conditional relative frequency that a student is female, given that they prefer basketball? Express your answer as a decimal rounded to two decimal places.
8. The events 'being male' and 'preferring basketball' are independent.
True
False
9. More students prefer basketball than soccer.
True
False