A two-way frequency table shows that out of 160 students, 56 students are in the 10th grade and play basketball. The joint relative frequency of 10th-grade students who play basketball is __________ (express as a decimal).
Answer & Analysis
Analysis
Question Analysis
This question assesses the understanding of joint relative frequency, which is the proportion of a combination of two variables (in this case, 10th-grade students who play basketball) within the total population. The key is to correctly divide the joint frequency by the total number of students.
Key Concept Explanation
Joint relative frequency is obtained by dividing a joint frequency (the number of students in a specific category) by the total number of the population. It reflects the proportion of the combination of two variables in the overall population and is usually presented as a decimal or percentage.
Step-by-step Solution
1. Identify the joint frequency of 10th-grade students who play basketball: 56
2. Identify the total number of students: 160
3. Calculate the joint relative frequency:
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