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.

Answer 1

To find the mean and median, we need to first determine the number of seats per table from the dot plot.

Let's assume the dot plot shows the following data:
5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 10, 10, 10, 10, 10, 14, 14, 14, 14, 14

Mean:
To find the mean, we need to add up all the values and divide by the total number of values.
Mean = (5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 7 + 7 + 10 + 10 + 10 + 10 + 10 + 14 + 14 + 14 + 14 + 14) / 20
Mean = 160 / 20
Mean = 8

Median:
To find the median, we need to arrange the data in increasing order and find the middle value.
Arranging the data in increasing order: 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 10, 10, 10, 10, 10, 14, 14, 14, 14, 14
Since we have 20 values, the median will be the average of the 10th and 11th values.
Median = (7 + 7) / 2
Median = 7

Therefore, the mean number of seats per table is 8 and the median number of seats per table is 7. This shows that the mean and median are different in this skewed dataset.