Question

page 13 of 13
Relative Frequencies Quick Check
1 of 51 of 5 Items
Question
Use the table to answer the question.

Has a Pet No Pet Totals
Third Graders 16% 19% 35%
Fourth Graders 29% 36% 65%
Total 45% 55% 100%
Use the relative frequency table to decide which of the following is a correct interpretation of the data.

(1 point)
Responses

The largest joint relative frequency is fourth graders with a pet.
The largest joint relative frequency is fourth graders with a pet.

More fourth graders responded than third graders.
More fourth graders responded than third graders.

Most students in the sample have a pet.
Most students in the sample have a pet.

The smallest joint relative frequency is third graders without a pet.
The smallest joint relative frequency is third graders without a pet.

closest answer based on what I gave u

Answers

GPT-4o mini
To interpret the data provided in the relative frequency table, let's analyze the statements based on the information:

1. **Joint relative frequency of fourth graders with a pet:** Fourth graders with a pet = 29%

2. **Joint relative frequency of third graders with a pet:** Third graders with a pet = 16%

3. **More fourth graders responded than third graders:** This cannot be determined from the relative frequencies alone without absolute values since we don't know the total number of students in each grade.

4. **Most students in the sample have a pet:** The total percentage of students with a pet is 45%, which means most do not have a pet (55% do not).

5. **Smallest joint relative frequency is third graders without a pet:** This would be third graders without a pet = 19%. However, this is not the smallest; the smallest is third graders with a pet at 16%.

Based on these analyses, the correct interpretation from the options provided is:

**The largest joint relative frequency is fourth graders with a pet.**

This statement is correct because 29% (fourth graders with a pet) is indeed larger than any of the other percentages listed.