Question

(a) which city had a smaller range of noon temperatures?
(b) which city had noon temperatures with a larger interquartile range (iqr)?
(c) which city had a larger median noon temperature?
(a) which city had the highest noon temperature?

Explanation:

Step1: Analyze range

Range is calculated as \( \text{Max}-\text{Min} \). For City A: \( 75 - 86=11 \). For City B: \( 95 - 70 = 25 \). So City A has smaller range.

Step2: Analyze IQR

IQR is \( Q3 - Q1 \). For City A: \( 83 - 85=- 2 \) (absolute value \( 2 \)). For City B: \( 90 - 75 = 15 \). So City B has larger IQR.

Step3: Analyze median

Median is middle value. City A's median is \( 83 \), City B's median is \( 75 \). So City B has higher median.

Step4: Analyze highest noon temperature

Highest value: City A's max is \( 86 \), City B's max is \( 95 \). So City B has highest noon temperature.

Answer:

(a) City A; (b) City B; (c) City B