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.

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

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

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

page 13 of 13

Answer 1

To interpret the data from the table, let's analyze the joint relative frequencies:

• Third Graders with a Pet: 16%
• Third Graders without a Pet: 19%
• Fourth Graders with a Pet: 29%
• Fourth Graders without a Pet: 36%

Now, let's summarize the findings based on the options given:

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

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

2. Most students in the sample have a pet.

   • To evaluate this, we look at the total percentage of students with pets: Third Graders with a Pet (16%) + Fourth Graders with a Pet (29%) = 45%. Since this does not exceed 50%, this statement is also incorrect.

3. More fourth graders responded than third graders.

   • Based on the totals from the table, Fourth Graders represent 65% while Third Graders represent 35%. Thus, this statement is correct.

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

   • This is incorrect. The largest joint relative frequency is actually Fourth Graders without a Pet (36%).

Based on this analysis, the correct interpretation is:

More fourth graders responded than third graders.