Question

the noon temperatures (in fahrenheit) for two cities were recorded over a given month. the box - and - whisker plots below (sometimes called boxplots) summarize the noon temperatures for each city. use the box - and - whisker plots to answer the questions.
(a) which city had a larger median noon temperature?
select
(b) which city had a smaller range of noon temperatures?
select
(c) which city had the highest noon temperature?
select
(d) which city had noon temperatures with a larger interquartile range (iqr)?
select

Explanation:

Step1: Identify median on box - plot

The line inside the box represents the median. For City A, the median is around 75°F. For City B, the median is around 80°F.

Step2: Identify range on box - plot

The range is the difference between the maximum and minimum values. For City A, the range is approximately 95 - 60=35°F. For City B, the range is approximately 85 - 65 = 20°F.

Step3: Identify maximum value on box - plot

The end - point of the right - hand whisker (or outlier point) represents the maximum value. City A has a maximum around 95°F and City B has a maximum around 85°F.

Step4: Identify IQR on box - plot

The IQR is the length of the box. For City A, the IQR is approximately 85 - 70 = 15°F. For City B, the IQR is approximately 80 - 70=10°F.

Answer:

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