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The question asks for the five-number summary (minimum, Q1, median, Q3, and maximum) for the given dataset:

**Data Set**: 1, 6, 9, 15, 23, 24, 44, 66, 67, 71, 72

### Steps to calculate the five-number summary:

1. **Minimum**: The smallest number in the dataset. 
   - Min = 1

2. **Maximum**: The largest number in the dataset.
   - Max = 72

3. **Median**: The middle number when the dataset is sorted. Since there are 11 numbers, the median is the 6th number.
   - Median = 24

4. **First Quartile (Q1)**: This is the median of the lower half of the dataset (the first 5 numbers: 1, 6, 9, 15, 23). The median of this subset is the 3rd number.
   - Q1 = 9

5. **Third Quartile (Q3)**: This is the median of the upper half of the dataset (the last 5 numbers: 44, 66, 67, 71, 72). The median of this subset is the 3rd number.
   - Q3 = 67

### Final five-number summary:
- Min = 1
- Q1 = 9
- Median = 24
- Q3 = 67
- Max = 72

Would you like more details on any of the steps or have any other questions?

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Here are 5 related questions to expand your understanding:

1. How is the interquartile range (IQR) calculated from the five-number summary?
2. How would the five-number summary change if an additional data point was added?
3. What is the significance of quartiles in data distribution?
4. How does the five-number summary relate to box plots in statistics?
5. Can you calculate the range using the five-number summary?

**Tip**: The interquartile range (IQR) is a good measure of data spread, calculated as \( \text{IQR} = Q3 - Q1 \).

Identify the 5-number summary (min, Q1, median, Q3, max) for the data set: 1, 6, 9, 15, 23, 24, 44, 66, 67, 71, 72

Calculate the five-number summary (minimum, Q1, median, Q3, and maximum) for the data set: 1, 6, 9, 15, 23, 24, 44, 66, 67, 71, 72. This example covers core statistical concepts of quartiles and median calculations, perfect for students in Grades 8-10.

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