Let's break this into two parts: creating a stem-and-leaf plot and calculating the mean, median, and mode.

1. Stem-and-Leaf Plot

The stem will represent the tens digit, and the leaf will represent the units digit. For the given dataLet's break this into two parts: creating a stem-and-leaf plot and calculating the mean, median, and mode.

1. Stem-and-Leaf Plot

The stem will represent the tens digit, and the leaf will represent the units digit. For the given

Data: 98, 73, 64, 69, 86, 89, 77, 86, 91, 73

Stem and Leaf Plot:

6 | 4 9
7 | 3 3 7
8 | 6 6 9
9 | 1 8

• 6 | 4 9 represents the values 64 and 69.
• 7 | 3 3 7 represents the values 73, 73, and 77.
• 8 | 6 6 9 represents the values 86, 86, and 89.
• 9 | 1 8 represents the values 91 and 98.

2. Mean, Median, and Mode

Mean:

To find the mean, sum the numbers and divide by the number of data points.

$\text{Sum} = 98 + 73 + 64 + 69 + 86 + 89 + 77 + 86 + 91 + 73 = 806$ $\text{Mean} = \frac{806}{10} = 80.6$

Median:

To find the median, arrange the data in ascending order and find the middle value(s).

Ordered Data: 64, 69, 73, 73, 77, 86, 86, 89, 91, 98

There are 10 data points, so the median will be the average of the 5th and 6th values.

$\text{Median} = \frac{77 + 86}{2} = 81.5$

Mode:

The mode is the value that occurs most frequently.

In this data, 73 and 86 both occur twice, so the data is bimodal. The modes are 73 and 86.

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Summary:

• Mean: 80.6