Question

se 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 17.4% 17.4% 23.5% 23.5% 8% 8% 76.5%

Answer 1

To find the relative frequency of students who prefer dogs and are 7th graders, we first need to determine the total number of students surveyed and then calculate the relative frequency.

From the table, we have:

• 7th Graders who prefer Dogs: 8
• Total 7th Graders (Cats + Dogs + No Preference): 36 + 8 + 2 = 46

Now, we calculate the relative frequency of 7th graders who prefer dogs:

\[ \text{Relative Frequency} = \frac{\text{Number of 7th Graders who prefer Dogs}}{\text{Total Number of 7th Graders}} = \frac{8}{46} \]

Calculating this gives:

\[ \frac{8}{46} \approx 0.1739 \]

To convert this to a percentage, we multiply by 100:

\[ 0.1739 \times 100 \approx 17.39% \]

Rounding to the nearest tenth gives:

\[ 17.4% \]

So, the answer is 17.4%.