Question

Challenge  The following box plots show monthly average high temperature from January to December in degrees Fahrenheit for two U.S. cities. Which city should you live in if you want the most variability in​ temperature?
City X
10
15
20
25
30
35
40
45
50
55
60
Degrees Fahrenheit



A box plot titled City X has a number line labeled Degrees Fahrenheit from 10 to 60. A box extends from 20 to 45, with a vertical line segment through the box at 40. A horizontal line segment extends from 10 to 20. A horizontal line segment extends from 45 to 60.
City Y
10
15
20
25
30
35
40
45
50
55
60
Degrees Fahrenheit



A box plot titled City Y has a number line labeled Degrees Fahrenheit from 10 to 60. A box extends from 25 to 45, with a vertical line segment through the box at 37.5. A horizontal line segment extends from 10 to 25. A horizontal line segment extends from 45 to 55.
Question content area bottom
Part 1
Which city should you live in if you want the most variability in​ temperature?
A.City Upper Y
City Upper Y
B.City Upper X and City Upper Y comma because they have the same variability in temperature.
City Upper X and City Upper Y comma because they have the same variability in temperature.
C.City Upper X
City Upper X

Answer 1

C. City X

City X has the larger spread: range = 60 − 10 = 50 (vs 55 − 10 = 45 for City Y) and IQR = 45 − 20 = 25 (vs 45 − 25 = 20 for City Y), so City X shows more variability.