The two-way frequency table below shows the number of students who prefer online or in-person learning, grouped by their grade (9th or 10th).
The joint frequency of 10th graders who prefer in-person learning is _______.
Answer & Analysis
Analysis
Question Analysis
This question involves a two-way frequency table with variables "grade" (9th/10th) and "learning preference" (online/in-person).
The main focus is on calculating a missing joint frequency using the marginal frequency of a row.
Key Concept Explanation
Row Marginal Frequency: The total count for a row, which equals the sum of the joint frequencies in that row.
For 10th grade, row total = online learning joint frequency + in-person learning joint frequency.
Step-by-Step Solution
Identify the row for "10th Grade" with a row total of 120.
Let the missing joint frequency (10th graders who prefer in-person learning) be x.
Using the row total relationship: 58 (online) + x (in-person) = 120 (row total).
Solve for x:
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