Bivariate Data Analysis & Probability Unit Test

Question

10 of 1610 of 16 Items

Question
Use the table to answer the question.

This table displays the number of 7th and 8th grade students who prefer either dogs or cats.
Preference 7th Graders 8th Graders
Prefers Cats 36 22
Prefers Dogs 8 26
No Preference 2 6
What is the relative frequency of students who prefer dogs who are 7th graders? Round the percentage to the nearest tenth.

(1 point)
Responses

23.5%
23.5%

76.5%
76.5%

8%
8%

17.4%
17.4%

Answer 1

To find the relative frequency of 7th graders who prefer dogs, we need to follow these steps:

1. Determine the total number of 7th graders.
2. Find the number of 7th graders who prefer dogs.
3. Calculate the relative frequency of 7th graders who prefer dogs by dividing the number of 7th graders who prefer dogs by the total number of 7th graders and converting that to a percentage.

From the table:

• Number of 7th graders who prefer dogs: 8
• Total number of 7th graders = Number of 7th graders who prefer cats + Number of 7th graders who prefer dogs + Number of 7th graders with no preference = 36 (cats) + 8 (dogs) + 2 (no preference) = 46

Now, we can calculate the relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of 7th graders who prefer dogs}}{\text{Total number of 7th graders}} \times 100 \]

\[ \text{Relative Frequency} = \frac{8}{46} \times 100 \approx 17.3913% \]

Rounding to the nearest tenth gives us:

17.4%

So the correct response is 17.4%.