A survey of 150 students found that 60 students in the 9th grade prefer reading books. If the total number of students increases by 30, all new students being 9th graders who prefer reading books, the new marginal relative frequency of 9th-grade students is _________ (express as a fraction in simplest form).
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to calculate the marginal relative frequency after a change in the total population. The key is to understand how the addition of new students affects the marginal relative frequency.
Key Concept Explanation
Marginal Relative Frequency: It is the ratio of the marginal frequency (the number of students in a single variable category) to the total number of the population. In this case, it is the proportion of 9th-grade students among the total number of students.
Step-by-step Solution
1. Identify the initial marginal frequency of 9th-grade students: 60.
2. Determine the new total number of students: 150 + 30 = 180.
3. Calculate the new marginal frequency of 9th-grade students: 60 + 30 = 90.
4. Calculate the new marginal relative frequency:
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