The two-way frequency table below shows the number of 5th graders who own a cat or a dog, grouped by gender (boy or girl).
The joint frequency of boys who own a dog is _______.
Answer & Analysis
Analysis
Question Analysis
This question involves a two-way frequency table with variables "gender" (boys/girls) and "pet ownership" (cat/dog).
The main focus is on finding a missing joint frequency in the "Boys" row using the row marginal frequency.
Key Concept Explanation
Row Marginal Frequency for Boys: The total number of boys surveyed, which equals the sum of joint frequencies for "Boys who own a cat" and "Boys who own a dog".
Step-by-Step Solution
Locate the "Boys" row, which has a row total of 40.
The known joint frequency for "Boys who own a cat" is 15.
Let the missing joint frequency for "Boys who own a dog" be w.
Using the row total relationship: 15 + w = 40.
Solve for w:
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