Question

5 through 10
5-2, 6-0, 7-0, 8-3, 9-0, 10-5
Hortencia made the dot plot to help her plan for her party. Find the mean number of seats per table. Round your answer to the nearest tenth if necessary.

(1 point)
Responses

5
5

8.4
8.4

9.0
9.0

10.1

Answer 1

To find the mean number of seats per table using the data from the dot plot, we first need to multiply the number of seats by the frequency (the number of occurrences) and then calculate the average.

Here’s the data you provided:

- 5 seats: 2 tables → 2 * 5 = 10
- 6 seats: 0 tables → 0 * 6 = 0
- 7 seats: 0 tables → 0 * 7 = 0
- 8 seats: 3 tables → 3 * 8 = 24
- 9 seats: 0 tables → 0 * 9 = 0
- 10 seats: 5 tables → 5 * 10 = 50

Now, sum the total number of seats:
\[
10 + 0 + 0 + 24 + 0 + 50 = 84
\]

Next, sum the total number of tables:
\[
2 + 0 + 0 + 3 + 0 + 5 = 10
\]

Now, we can calculate the mean number of seats per table:
\[
\text{Mean} = \frac{\text{Total seats}}{\text{Total tables}} = \frac{84}{10} = 8.4
\]

So, the mean number of seats per table is **8.4**.