The stem-and-leaf plot in the image provides a set of numbers that we need to use to find the median and range. Let me first list the numbers from the plot:

Interpreted Numbers from Stem-and-Leaf Plot:

• Stem 1 (10s): 10, 13, 13, 14
• Stem 2 (20s): 21, 21, 25, 27
• Stem 4 (40s): 48, 49, 49
• Stem 5 (50s): 50, 51, 52, 56
• Stem 6 (60s): 63, 63, 64
• Stem 8 (80s): 86, 87, 87, 89
• Stem 9 (90s): 93, 94, 94, 98

Now, let's solve for the median and range.

Step 1: Finding the Median

To find the median, we need to order all the numbers from least to greatest and find the middle value. If there's an even number of data points, the median will be the average of the two middle numbers.

Ordered list of dataThe stem-and-leaf plot in the image provides a set of numbers that we need to use to find the median and range. Let me first list the numbers from the plot:

Interpreted Numbers from Stem-and-Leaf Plot:

• Stem 1 (10s): 10, 13, 13, 14
• Stem 2 (20s): 21, 21, 25, 27
• Stem 4 (40s): 48, 49, 49
• Stem 5 (50s): 50, 51, 52, 56
• Stem 6 (60s): 63, 63, 64
• Stem 8 (80s): 86, 87, 87, 89
• Stem 9 (90s): 93, 94, 94, 98

Now, let's solve for the median and range.

Step 1: Finding the Median

To find the median, we need to order all the numbers from least to greatest and find the middle value. If there's an even number of data points, the median will be the average of the two middle numbers.

Ordered list of 10, 13, 13, 14, 21, 21, 25, 27, 48, 49, 49, 50, 51, 52, 56, 63, 63, 64, 86, 87, 87, 89, 93, 94, 94, 98

There are 26 data points, so the median will be the average of the 13th and 14th values:

• 13th value = 51
• 14th value = 52

The median = $\frac{51 + 52}{2} = 51.5$

Step 2: Finding the Range

The range is the difference between the largest and smallest numbers in the data set:

• Largest value = 98
• Smallest value = 10

The range = $98 - 10 = 88$

Final Answers:

• Median: 51.5
• Range: 88

Would you like more details or have any questions?

Here are 5 related questions you might find helpful:

1. How do you find the mode of this data set?
2. What is the mean (average) of the data set?
3. How would the median change if a new value, 100, was added to the set?
4. How does the range affect the spread of the data?
5. Can a data set have more than one median?

Tip: When finding the median, always ensure the data is ordered, and if there is an even number of points, average the two middle values.