1. **State the problem:** We are comparing noon temperatures of two cities using box-and-whisker plots to answer questions about interquartile range (IQR), highest temperature, range, and median.
2. **Recall definitions:**
- The **interquartile range (IQR)** is the difference between the third quartile (Q3) and the first quartile (Q1).
- The **range** is the difference between the maximum and minimum values.
- The **median** is the middle value of the data.
3. **Analyze City A:**
- Whiskers from about 71 to 94, so range = $94 - 71 = 23$
- Median near 89
- Box (IQR) length is roughly from about 85 to 91 (estimated from plot), so IQR = $91 - 85 = 6$
4. **Analyze City B:**
- Whiskers from about 74 to 86, so range = $86 - 74 = 12$
- Median near 83
- Box (IQR) length roughly from about 78 to 84, so IQR = $84 - 78 = 6$
5. **Answer questions:**
(a) Which city had larger IQR?
- Both have IQR about 6, so they are approximately equal.
(b) Which city had highest noon temperature?
- City A max is 94, City B max is 86, so City A has higher max.
(c) Which city had smaller range?
- City A range is 23, City B range is 12, so City B has smaller range.
(d) Which city had larger median?
- City A median is 89, City B median is 83, so City A has larger median.
**Final answers:**
(a) Both cities have approximately the same IQR.
(b) City A had the highest noon temperature.
(c) City B had the smaller range of noon temperatures.
(d) City A had the larger median noon temperature.
Boxplot Comparison 59F9Be
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