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 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.

Answer 1

To evaluate the correct interpretation of the data based on the relative frequency table provided, let's break down the given percentages:

• Third Graders (with a pet): 16%
• Third Graders (without a pet): 19%
• Fourth Graders (with a pet): 29%
• Fourth Graders (without a pet): 36%
• Totals:
  • With a pet: 45%
  • Without a pet: 55%

Now, we can analyze the potential interpretations:

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

   • Third graders without a pet: 19%
   • This is not the smallest; the smallest is the third graders with a pet (16%).

2. Most students in the sample have a pet.

   • Total with a pet: 45%
   • This is not a majority, as most means over 50%.

3. More fourth graders responded than third graders.

   • Fourth graders: 65% (total) vs. Third graders: 35% (total)
   • This statement is correct since more fourth graders responded.

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

   • Fourth graders with a pet: 29%
   • The largest joint relative frequency is actually fourth graders without a pet (36%).

Based on the analysis, the correct interpretation of the data is:

More fourth graders responded than third graders.