To interpret the data from the provided table, let's break down each response option:
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More fourth graders responded than third graders.
- This statement can't be confirmed based on the percentages alone. The relative frequencies indicate the proportion of each grade level with or without pets, but they do not provide the absolute number of respondents from each grade.
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The largest joint relative frequency is fourth graders with a pet.
- This statement is true because the joint relative frequency for "fourth graders with a pet" is 29%, which is higher than any other percentage in the table (16% for third graders with a pet, 19% for third graders without a pet, and 36% for fourth graders without a pet).
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Most students in the sample have a pet.
- This statement is also true because the total percentage of students with a pet is 45%, which indicates that less than half of the students surveyed have a pet.
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The smallest joint relative frequency is third graders without a pet.
- This statement is false. The joint relative frequency for "third graders without a pet" is 19%, while "fourth graders without a pet" is 36%, and "third graders with a pet" is 16%. The smallest joint relative frequency is "third graders with a pet," which is 16%.
Given these evaluations, the correct interpretations of the data are:
- The largest joint relative frequency is fourth graders with a pet.
- Most students in the sample have a pet.
However, since the question asks for a single option, the strongest correct interpretation would be:
The largest joint relative frequency is fourth graders with a pet.