Question

A baseball stadium keeps track of how many hot dogs each customer orders. The data is organized into the frequency table below.

Number of Hot Dogs Ordered, upper X Frequency
1 90
2 45
3 18
4 18
5 14
6 13
What is the relative frequency of customers ordering five hot dogs?

(1 point)
Responses

about 5%
about 5%

about 7%
about 7%

about 8%
about 8%

about 14%

Answer 1

To calculate the relative frequency of customers ordering five hot dogs, we need to divide the frequency of customers ordering five hot dogs by the total number of customers.

First, let's calculate the total number of customers by summing the frequencies:

- For 1 hot dog: 90
- For 2 hot dogs: 45
- For 3 hot dogs: 18
- For 4 hot dogs: 18
- For 5 hot dogs: 14
- For 6 hot dogs: 13

Total customers = 90 + 45 + 18 + 18 + 14 + 13 = 198

Now, the frequency of customers ordering five hot dogs is 14.

To find the relative frequency:

\[
\text{Relative Frequency} = \frac{\text{Frequency of 5 hot dogs}}{\text{Total Frequency}} = \frac{14}{198}
\]

Now, we can calculate this:

\[
\frac{14}{198} \approx 0.0707
\]

To express this as a percentage, we multiply by 100:

\[
0.0707 \times 100 \approx 7.07\%
\]

So, the relative frequency of customers ordering five hot dogs is approximately 7%.

Thus, the correct response is **about 7%**.