Use the table to answer the question.

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

Answer 1

To interpret the data from the relative frequency table correctly, let's look at the joint relative frequencies for each group:

1. Third graders with a pet: 16%
2. Third graders without a pet: 19%
3. Fourth graders with a pet: 29%
4. Fourth graders without a pet: 36%

Now let's analyze the given statements:

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

   • This is incorrect. The smallest joint relative frequency is for third graders with a pet (16%).

2. More fourth graders responded than third graders.

   • This is correct. Fourth graders account for 65% and third graders for 35%, indicating more fourth graders responded.

3. Most students in the sample have a pet.

   • This is incorrect. Only 45% have a pet, while 55% do not.

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

   • This is correct, but the largest joint relative frequency among all options is fourth graders without a pet (36%).

The most accurate interpretation of the data based on the provided options is:

More fourth graders responded than third graders.