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.

Question

A scatter plot displays the number of seats per table. The x-axis represents the number of seats per table, ranging from approximately 5 to 11. The y-axis is not present, as the plot is only a single column of data points.

Individual data points, shown as small orange circles, are scattered across the x-axis. The data points are not uniformly distributed, but are clustered around specific values along the x-axis. There are various numbers of seats per table represented, such as 5, 8, and 10.

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

Answer 1

To calculate the mean and median from the data points in the dot plot, we first need to identify the actual data points represented by the scatter plot. While I do not have direct access to the visual representation, I can guide you through the process of calculating the mean and median once you have the data.

Assuming you have the seats per table distributed as follows (this is just an example):

• 5 seats: 2 tables (2 points)
• 8 seats: 4 tables (4 points)
• 10 seats: 5 tables (5 points)
• 11 seats: 1 table (1 point)

You would list out the data points:

• 5, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 11

Step 1: Calculate the Mean

To find the mean:

1. Add up all the values.
2. Divide by the total number of values.

For the example above:

• Total number of tables (data points) = 2 (for 5) + 4 (for 8) + 5 (for 10) + 1 (for 11) = 12.
• Total sum = (52) + (84) + (105) + (111) = 10 + 32 + 50 + 11 = 103.

Mean = Total sum / Total number of tables = 103 / 12 ≈ 8.58 (rounded to 9).

Step 2: Calculate the Median

To find the median:

1. Order the data points from smallest to largest.
2. Find the middle value. If there is an even number of observations, the median is the average of the two middle numbers.

Ordered values: 5, 5, 8, 8, 8, 8, 10, 10, 10, 10, 10, 11

• There are 12 values (even), so the median is the average of the 6th and 7th values.
• The 6th and 7th values are both 8 and 10.

Median = (8 + 10) / 2 = 9.

Conclusion

In this example:

• Mean is approximately 9.
• Median is 9.

However, if the data distribution is skewed and you would like to demonstrate the disparity, you may find an example where the mean is higher than the median.

Please provide the specific number of seats per table if you have them so that we can calculate the actual mean and median for your dataset.