The problem asks to find the median and range of the data given in a stem-and-leaf plot. Let's break it down.

Data Interpretation

• The stems represent the ones digit, and the leaves represent the tenths digit.
• The numbers can be interpreted as follows:

Stem | Leaves (Tenths)

• 0 | 7, 7, 9 → 0.7, 0.7, 0.9
• 1 | 6 → 1.6
• 3 | 0, 0, 2, 2, 4, 7 → 3.0, 3.0, 3.2, 3.2, 3.4, 3.7
• 4 | 1, 3, 5, 9, 9 → 4.1, 4.3, 4.5, 4.9, 4.9
• 5 | 1, 1, 7 → 5.1, 5.1, 5.7
• 6 | 2, 2, 2, 8 → 6.2, 6.2, 6.2, 6.8
• 8 | 4, 5, 5 → 8.4, 8.5, 8.5

Full List of Numbers:

0.7, 0.7, 0.9, 1.6, 3.0, 3.0, 3.2, 3.2, 3.4, 3.7, 4.1, 4.3, 4.5, 4.9, 4.9, 5.1, 5.1, 5.7, 6.2, 6.2, 6.2, 6.8, 8.4, 8.5, 8.5

Step 1: Find the Median

To find the median, we need the middle value of the ordered list. There are 25 values in total. The median is the 13th number:

• Median: 4.5

Step 2: Find the Range

Range is the difference between the largest and smallest value:

• Smallest value: 0.7
• Largest value: 8.5
• Range = 8.5 - 0.7 = 7.8

Final Answers:

• Median = 4.5
• Range = 7.8

Would you like further clarification on these calculations?

Here are five related questions for you:

1. What would the median be if there were an even number of values?
2. How would the range change if we added more numbers to the data set?
3. Can you explain how a stem-and-leaf plot organizes data?
4. How does the distribution of data affect the range?
5. What is the difference between mean, median, and mode in a data set?

Tip: The median is less affected by extreme values than the mean, which makes it a useful measure for skewed data sets.