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 answer

To interpret the relative frequency table you provided, we can analyze the percentages to understand the distribution of pet ownership among third and fourth graders.

From the table:

  • Third Graders:

    • 16% have a pet.
    • 19% do not have a pet.
    • Total: 35% of the sample are third graders.
  • Fourth Graders:

    • 29% have a pet.
    • 36% do not have a pet.
    • Total: 65% of the sample are fourth graders.
  • Overall:

    • 45% of the total surveyed students have a pet.
    • 55% do not have a pet.

Now, possible interpretations of the data could include statements like:

  1. More fourth graders have pets than third graders. (True based on the percentages - 29% of fourth graders have pets compared to 16% of third graders).

  2. Overall, a greater percentage of students do not have pets (55%) than those who do (45%). (True as well).

  3. Third graders constitute a smaller portion of the total population compared to fourth graders. (True - 35% are third graders, while 65% are fourth graders).

  4. The percentage of students with pets increases from third to fourth grade. (True since it goes from 16% to 29%).

Considering the interpretations, a correct statement could be:

"A higher percentage of fourth graders have pets compared to third graders."

If you have specific options, please provide them, and I can help determine which is correct based on the relative frequencies presented.