Question

the given boxplots show the number of sunny days per year in the cities of brockville and haverway over the past century. a \sunny year\ is when there are more than 100 sunny days in that year.

boxplots for brockville and haverway with x - axis labeled number of sunny days per year from 0 to 190

during the past century, how many more \sunny years\ did brockville have than haverway?

a. 20
b. 25
c. 45
d. 50
e. 75

Explanation:

Step1: Analyze the box - plots

In a box - plot, the total number of data points (here, years) is 100 (since it's over a century). The number of "sunny years" (where the number of sunny days > 100) can be found by looking at the part of the box - plot to the right of 100 on the number line.
For Brockville: The box - plot shows that approximately \(75\%\) of the data (years) is to the right of 100. So the number of sunny years for Brockville is \(0.75\times100 = 75\)
For Haverway: The box - plot shows that approximately \(25\%\) of the data (years) is to the right of 100. So the number of sunny years for Haverway is \(0.25\times100=25\)

Step2: Calculate the difference

The difference in the number of sunny years is \(75 - 25=50\)

Answer:

D. 50