A two-way frequency table shows that out of 240 students, 96 students are in the 11th grade and play basketball. If the total number of students increases by 30, all new students being 11th graders who do not play basketball, the new joint relative frequency of 11th-grade students who play basketball 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 11th-grade students who play basketball among the total number of students.
Step-by-step Solution
1. Identify the initial joint frequency of 11th-grade students who play basketball: 96.
2. Determine the new total number of students: 240 + 30 = 270.
3. Calculate the new joint relative frequency:
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