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

Explanation:

Step1: Identify median in box - and - whisker 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 70°F. So City A has a larger median.

Step2: Identify highest value in box - and - whisker plot

The end of the right - most whisker represents the highest value. For City A, the highest value is around 85°F. For City B, the highest value is around 90°F. So City B has the highest noon temperature.

Step3: Calculate interquartile range (IQR)

IQR = Q3 - Q1. For City A, Q1 is around 70°F and Q3 is around 80°F, so IQR = 80 - 70=10°F. For City B, Q1 is around 65°F and Q3 is around 80°F, so IQR = 80 - 65 = 15°F. So City B has a larger IQR.

Step4: Calculate range

Range = Maximum value - Minimum value. For City A, the minimum is around 65°F and the maximum is around 85°F, so range = 85 - 65 = 20°F. For City B, the minimum is around 60°F and the maximum is around 90°F, so range = 90 - 60 = 30°F. So City B has a larger range of noon temperatures.

Answer:

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