Questions: (a) Which city had noon temperatures with a larger interquartile range (IQR)? 'Choose one' (b) Which city had a larger median noon temperature? 'Choose one' (c) Which city had the highest noon temperature? 'Choose one' (d) Which city had a smaller range of noon temperatures? 'Choose one'

(a) Which city had noon temperatures with a larger interquartile range (IQR)? 'Choose one' (b) Which city had a larger median noon temperature? 'Choose one' (c) Which city had the highest noon temperature? 'Choose one' (d) Which city had a smaller range of noon temperatures? 'Choose one'
Transcript text: (a) Which city had noon temperatures with a larger interquartile range (IQR)? 'Choose one' (b) Which city had a larger median noon temperature? 'Choose one' (c) Which city had the highest noon temperature? 'Choose one' (d) Which city had a smaller range of noon temperatures? 'Choose one'
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Solution

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Solution Steps

Step 1: Determine the Interquartile Range (IQR) for Each City
  • The IQR is the difference between the third quartile (Q3) and the first quartile (Q1).
  • For City A, Q1 is approximately 70°F and Q3 is approximately 85°F. Thus, IQR for City A = 85 - 70 = 15°F.
  • For City B, Q1 is approximately 75°F and Q3 is approximately 85°F. Thus, IQR for City B = 85 - 75 = 10°F.
Step 2: Compare the Medians of Each City
  • The median is the middle value of the data set.
  • For City A, the median is approximately 80°F.
  • For City B, the median is approximately 80°F.
Step 3: Identify the Highest Noon Temperature for Each City
  • The highest temperature is the maximum value shown by the whisker.
  • For City A, the highest temperature is approximately 95°F.
  • For City B, the highest temperature is approximately 90°F.

Final Answer

(a) City A had noon temperatures with a larger interquartile range (IQR). (b) Both cities had the same median noon temperature. (c) City A had the highest noon temperature.

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