Question

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

Explanation:

Step1: Analyze the highest value

For part (a), we look at the end - points of the whiskers (the extreme values). The highest value (the end - point of the right - most whisker) for City B is higher than that for City A.

Step2: Calculate the range

The range is calculated as \(Range = Max - Min\). For City A, assume \(Max_{A}\) and \(Min_{A}\), for City B assume \(Max_{B}\) and \(Min_{B}\). By visual inspection of the box - plots (the length of the whiskers), \(Max_{A}-Min_{A}

Step3: Analyze the inter - quartile range (IQR)

The IQR is the length of the box (\(Q3 - Q1\)). By visual inspection of the box - plots, the length of the box (IQR) for City B is larger than that for City A.

Answer:

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