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To find the five-number summary and interquartile range of the given data set of temperatures, I'll break down the steps:

### Given Data (already ordered from least to greatest):
50, 52, 53, 59, 64, 67, 74, 76, 82, 84

### Steps for Calculating the Five-Number Summary

1. **Minimum**: The smallest value in the data set.
   - **Minimum** = 50

2. **Maximum**: The largest value in the data set.
   - **Maximum** = 84

3. **Median**: The middle value in the data set. Since there are 11 values (an odd number), the median is the 6th value.
   - **Median** = 67

4. **Lower Quartile (Q1)**: The median of the lower half of the data (excluding the median if the number of data points is odd). For the lower half, we have: 50, 52, 53, 59, 64.
   - **Q1 (Lower Quartile)** = Median of 50, 52, 53, 59, 64 = 53

5. **Upper Quartile (Q3)**: The median of the upper half of the data (again excluding the median if odd). For the upper half, we have: 74, 76, 82, 84.
   - **Q3 (Upper Quartile)** = Median of 74, 76, 82, 84 = 82

### Interquartile Range (IQR)
The interquartile range is the difference between the upper quartile (Q3) and the lower quartile (Q1).
- **IQR** = Q3 - Q1 = 82 - 53 = 29

### Five-Number Summary and Interquartile Range
- **Minimum**: 50
- **Lower Quartile (Q1)**: 53
- **Median**: 67
- **Upper Quartile (Q3)**: 82
- **Maximum**: 84
- **Interquartile Range (IQR)**: 29

Would you like more details on any of these steps?

Here are five related questions:
1. How do you find the median if there is an even number of data points?
2. What is the purpose of calculating the interquartile range?
3. How does the five-number summary help in analyzing data distributions?
4. How would you identify outliers using the interquartile range?
5. What other types of data summaries are commonly used in statistics?

**Tip**: The interquartile range is helpful to measure the spread of the middle 50% of data points, reducing the impact of outliers on the range calculation.

Here are yesterday's high temperatures (in Fahrenheit) in 11 U.S. cities: 50, 52, 53, 59, 64, 67, 74, 76, 82, 84. Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set.

Learn how to find the five-number summary and interquartile range for a data set of high temperatures recorded in 11 U.S. cities. This example covers descriptive statistics, including minimum, lower quartile, median, upper quartile, and maximum. Suitable for middle school students in Grades 6-8.

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