https://file.aiquickdraw.com/mathbot/file/17264160674134mi3wq34.jpg

Let's first extract the times recorded from the stem-and-leaf diagram and solve the questions.

### The Stem-and-Leaf Diagram:
- Stem: 4 | 5, 9 → 45, 49 minutes
- Stem: 5 | 3, 7, 8 → 53, 57, 58 minutes
- Stem: 6 | 1, 2, 4, 5, 7, 7 → 61, 62, 64, 65, 67, 67 minutes
- Stem: 7 | 2, 6, 7 → 72, 76, 77 minutes
- Stem: 8 | 1 → 81 minutes

The complete set of times is:
\[ 45, 49, 53, 57, 58, 61, 62, 64, 65, 67, 67, 72, 76, 77, 81 \]

(a) **Find the median**:
- There are 15 times in total, and the median is the 8th value when the data is arranged in order.
- The 8th value is **64 minutes**.

(b) **Find the range**:
- The range is the difference between the highest and lowest values.
- Highest value: 81 minutes, Lowest value: 45 minutes.
\[
\text{Range} = 81 - 45 = 36 \text{ minutes}.
\]

(c) **Comparison with children's times**:
- For the children, the median time was 75 minutes.
- **Comparison**:
  - The median time for the adults (64 minutes) is **lower** than the children's median time (75 minutes). 
  - This suggests that, on average, the adults completed the run faster than the children.

Would you like a further explanation, or do you have any questions?

Here are 5 related questions you might find useful:
1. What does the stem-and-leaf diagram tell us about the distribution of adult times?
2. How do you calculate the mean time from the stem-and-leaf data?
3. How does the range of adult times compare to the children's times (if their range is provided)?
4. What is the significance of the median in comparing two data sets like this?
5. How would you interpret the mode of the adults' times?

**Tip**: The median is often a better indicator of "typical" performance than the mean, especially when dealing with outliers.

Tessa recorded the times that 15 adults took to complete a run. She showed her results in a stem and leaf diagram. (a) Find the median. (b) Find the range. (c) Compare the times that the adults took with the times that the children took (the children's median was 75 minutes).

Learn how to find the median and range of data presented in a stem-and-leaf diagram. This example includes 15 data points and compares the running times of adults and children, highlighting important mathematical concepts like median, range, and data comparison.

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