To calculate the relative frequency of 7th graders who prefer dogs, we need to first determine the total number of 7th graders and then find the proportion of those who prefer dogs.
From the table, we have:
- 7th graders who prefer cats: 36
- 7th graders who prefer dogs: 26
- 7th graders who have no preference: 2
Now, we can calculate the total number of 7th graders:
\[ \text{Total 7th graders} = \text{Prefers Cats} + \text{Prefers Dogs} + \text{No Preference} = 36 + 26 + 2 = 64 \]
Next, we find the relative frequency of 7th graders who prefer dogs:
\[ \text{Relative frequency} = \frac{\text{Number of 7th graders who prefer dogs}}{\text{Total 7th graders}} = \frac{26}{64} \]
Calculating this gives:
\[ \frac{26}{64} = 0.40625 \]
To convert this to a percentage:
\[ 0.40625 \times 100 = 40.625% \]
Rounding to the nearest tenth gives:
\[ 40.6% \]
However, that value is not one of the answer choices provided (8%, 23.5%, 76.5%, 17.4%). Therefore, let's briefly go through the available options again. If none align, double-check the information provided or calculations as there may have been a misunderstanding in whichever students prefer dogs or the overall population.
So, based on your question, there seems to be a discrepancy in the answer choices provided. If we only consider those provided, the calculations do not match any of the answer choices.
Please verify the numbers to ensure an accurate calculation and selection from the options listed.