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Relative Frequencies Quick Check
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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

1 answer

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.