A two-way frequency table shows that out of 200 students, 80 students are in the 12th grade and play tennis. If the total number of students increases by 50, all new students being 12th graders who play tennis, the new joint relative frequency of 12th-grade students who play tennis is _________ (express as a fraction in simplest form).
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to calculate the joint relative frequency after a change in the total population. The key is to understand how the addition of new students affects the joint relative frequency.
Key Concept Explanation
Joint Relative Frequency: It is the ratio of the joint frequency (the number of students in a specific category) to the total number of the population. In this case, it is the proportion of 12th-grade students who play tennis among the total number of students.
Step-by-step Solution
1. Identify the initial joint frequency of 12th-grade students who play tennis: 80.
2. Determine the new total number of students: 200 + 50 = 250.
3. Calculate the new joint frequency of 12th-grade students who play tennis: 80 + 50 = 130.
4. Calculate the new joint relative frequency:
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