https://file.aiquickdraw.com/mathbot/file/17270691615792qrifuf7.jpg

The provided image shows a stem-and-leaf plot where the stems represent tens and the leaves represent ones. We are asked to find the median and the range of the data.

### Extracting the data from the stem-and-leaf plot:
- 10, 11, 13, 13, 14
- 21, 21, 25, 27
- 48, 49, 49, 49
- 50, 51, 52, 56
- 63, 63, 64
- 86, 87, 87, 89
- 93, 94, 94, 98

So the complete list of numbers is:
\[ 10, 11, 13, 13, 14, 21, 21, 25, 27, 48, 49, 49, 49, 50, 51, 52, 56, 63, 63, 64, 86, 87, 87, 89, 93, 94, 94, 98 \]

### Step 1: Finding the Median
To find the median, we first arrange the data (which is already arranged) and count the total number of values. There are **28** values, so the median will be the average of the 14th and 15th numbers in the list:
- The 14th number is 49.
- The 15th number is 50.

Thus, the median is:
\[
\text{Median} = \frac{49 + 50}{2} = 49.5
\]

### Step 2: Finding the Range
The range is the difference between the highest and lowest values in the data set:
- Highest value: 98
- Lowest value: 10

Thus, the range is:
\[
\text{Range} = 98 - 10 = 88
\]

### Final Answers:
- **Median = 49.5**
- **Range = 88**

Would you like further details or explanations on any part of this process? Here are five related questions to explore:

1. How do you calculate the mode from a stem-and-leaf plot?
2. Can a stem-and-leaf plot display decimal values, and how would that affect calculations?
3. What is the significance of outliers in calculating the range?
4. How do you find the quartiles in a stem-and-leaf plot?
5. Can the median ever be the same as the mean in a data set? Why or why not?

**Tip:** When calculating the median from an even set of numbers, always average the two middle values to ensure accuracy.

Find the median and range from the stem-and-leaf plot.

Learn how to find the median and range from a stem-and-leaf plot. The dataset includes values ranging from 10 to 98. The median is calculated as 49.5, and the range is 88.

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