To analyze the relative frequency table provided, let's summarize the information given:
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Third Graders:
- With a Pet: 16%
- Without a Pet: 19%
- Total: 35%
-
Fourth Graders:
- With a Pet: 29%
- Without a Pet: 36%
- Total: 65%
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Overall Totals:
- With a Pet: 45%
- Without a Pet: 55%
- Total: 100%
Now let's evaluate your response options based on this information.
-
More fourth graders responded than third graders.
- This is true, as fourth graders make up 65% of the total while third graders only account for 35%.
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The smallest joint relative frequency is third graders without a pet.
- The joint relative frequency for third graders without a pet is 19%.
- For fourth graders with a pet, the frequency is 29%.
- For fourth graders without a pet, the frequency is 36%.
- Thus, the smallest joint relative frequency is actually the third graders with a pet (16%).
-
Most students in the sample have a pet.
- Based on the totals, 45% of students have a pet and 55% do not have a pet. Therefore, this statement is false.
-
The largest joint relative frequency is fourth graders with a pet.
- The joint relative frequency for fourth graders with a pet is 29%, which is indeed less than 36% (fourth graders without a pet).
- Thus, this statement is false.
Based on this analysis, the correct interpretation of the data is:
More fourth graders responded than third graders.
1 answer