https://file.aiquickdraw.com/mathbot/file/1726290386571zfkjwyh6.jpg

The image contains a question that requires statistical analysis based on the data in a stem-and-leaf plot. Let's address the specific tasks:

### Data:
- 0 | 7888
- 1 | 0349
- 2 | 379
- 3 | 002
- 4 | 5

These numbers correspond to the following values:
- 7, 8, 8, 8
- 10, 13, 14, 19
- 23, 27, 29
- 30, 30, 32
- 45

### Let's compute the required values:

#### a. Mean
The mean is the sum of all values divided by the number of values.

#### b. Median
The median is the middle value when the numbers are arranged in ascending order.

#### c. Mode
The mode is the value(s) that occur most frequently.

#### d. Midrange
The midrange is the average of the smallest and largest values in the data set.

Let me calculate each of these for you.Here are the statistical calculations based on the data provided:

1. **Mean**: \( 20.2 \)
2. **Median**: \( 19 \)
3. **Mode**: \( 8 \) (it occurs most frequently)
4. **Midrange**: \( 26 \) (calculated as the average of the smallest value \(7\) and largest value \(45\))

Would you like more details or have any questions?

Here are five related questions to expand on this topic:
1. How do changes in the data affect the mean and median differently?
2. Can a data set have more than one mode? If so, when?
3. Why is the midrange not commonly used as a measure of central tendency?
4. How does the distribution of data affect the choice of mean, median, or mode for analysis?
5. What is the relationship between range and midrange?

**Tip**: The median is a robust measure of central tendency because it is less affected by outliers than the mean.

Find the following for the data in the stemplot below: a. mean, b. median, c. mode, d. midrange.

Learn how to find the mean, median, mode, and midrange for a data set presented in a stem-and-leaf plot. This problem covers key statistical concepts suitable for students in Grades 6-8.

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