A two-way frequency table records the number of students in 7th and 8th grades who prefer either science or history. The total number of students surveyed is 80. If 24 students in 7th grade prefer science, what is the joint relative frequency of 7th-grade students who prefer science? Express your answer as a percentage. _____%.
Answer & Analysis
Analysis
Question Analysis
This question evaluates the student's ability to calculate the joint relative frequency, which is the proportion of the combination of two variables (7th-grade students who prefer science) in the overall population (total students surveyed).
Key Concept Explanation
Joint relative frequency is the ratio of a joint frequency (the number of students in a specific combination of categories) to the total number of the population. It reflects the proportion of the combination of two variables in the overall data set.
Step-by-step Solution
1. Identify the number of 7th-grade students who prefer science: 24
2. Identify the total number of students surveyed: 80
3. Calculate the joint relative frequency:
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