Question

. 0 0 0 .
. 0 0 0 .
. 0 0 . 0 .
. 0 0 . 0 .
. 0 0 . 0 .
5 6 7 8 9 10
Hortencia made the dot plot to help her plan for her quinceañera. Find the mean and median number of seats per table to show that the mean and median are different in this skewed dataset. Round your answer to the nearest whole number, if necessary.

(1 point)
The mean number of seats is BLANK, and the median number of seats is BLANK.

Answer 1

To analyze the dot plot, we need to first count the number of dots for each number of seats per table. The plot indicates:

- 0 seats: 9 tables (from the first and second rows, plus the third, fourth, and fifth rows)
- 1 seat: 0 tables
- 2 seats: 0 tables
- 3 seats: 0 tables
- 4 seats: 0 tables
- 5 seats: 1 table
- 6 seats: 1 table
- 7 seats: 1 table
- 8 seats: 1 table
- 9 seats: 1 table
- 10 seats: 1 table

Now, let's calculate the mean and median.

### Calculation of Mean
1. Multiply the number of seats by the number of tables for each category:
- \(0 \times 9 = 0\)
- \(5 \times 1 = 5\)
- \(6 \times 1 = 6\)
- \(7 \times 1 = 7\)
- \(8 \times 1 = 8\)
- \(9 \times 1 = 9\)
- \(10 \times 1 = 10\)

2. Add these values together:
\[
0 + 5 + 6 + 7 + 8 + 9 + 10 = 45
\]

3. Count the total number of tables:
\[
9 + 1 + 1 + 1 + 1 + 1 + 1 = 14
\]

4. Calculate the mean:
\[
\text{Mean} = \frac{45}{14} \approx 3.21
\]

So, rounded to the nearest whole number, the mean number of seats is **3**.

### Calculation of Median
To find the median, we need to arrange the number of seats according to the frequency:

- 0 seats (9 times)
- 5 seats (1 time)
- 6 seats (1 time)
- 7 seats (1 time)
- 8 seats (1 time)
- 9 seats (1 time)
- 10 seats (1 time)

The complete list is:
\[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 6, 7, 8, 9, 10 \]

Since there are \(14\) values (an even number), the median will be the average of the 7th and 8th values in the sorted list.

The 7th value is **0** and the 8th value is **0**.

Calculating the median:
\[
\text{Median} = \frac{0 + 0}{2} = 0
\]

So, the median number of seats is **0**.

### Final Answer
The mean number of seats is **3**, and the median number of seats is **0**.