Question

Dog
Caesar
Fido
Jock
Borzoi
Frequency
9
4
7
5
Relative Frequency


Theresa makes this relative frequency table to show the votes from the Cutest Dog competition. Which dog received 16% of the votes.
A. Caesar
B. Fido
C. Jock
D. Borzoi

Answer 1

To calculate the relative frequency of votes for each dog, we first need to find the total number of votes.

The votes for each dog are:
- Dog (Caesar): 9 votes
- Fido: 4 votes
- Jock: 7 votes
- Borzoi: 5 votes

Now, let's calculate the total number of votes:

Total votes = 9 (Caesar) + 4 (Fido) + 7 (Jock) + 5 (Borzoi) = 25 votes

Next, we find the relative frequency for each dog by dividing the number of votes for each dog by the total number of votes and then multiplying by 100 to get a percentage.

1. **Caesar:** \( \frac{9}{25} \times 100 = 36\% \)
2. **Fido:** \( \frac{4}{25} \times 100 = 16\% \)
3. **Jock:** \( \frac{7}{25} \times 100 = 28\% \)
4. **Borzoi:** \( \frac{5}{25} \times 100 = 20\% \)

From this calculation, we see that Fido received 16% of the votes.

The answer is **B. Fido**.