Question

PLEASE HELP These box plots show daily low temperatures for a sample of days in two

different towns.
Town A
15 20
30
40
45
Town B
2
35 40 45 48
0
5
10
15
20
45
50
55
60
25 30 35 40
Degrees (F)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for town A, 30°, is less than the IQR
for town B, 46º.
B. The standard deviation for town A, 20°, is greater than the
standard deviation for town B, 10°.
C. The interquartile range (IQR) for town A, 20°, is greater than the
IQR for town B, 10°.
D. The interquartile ranges (IQRs) for towns A and B are both 20°.

Answer 1

Answer: D: The median for town A, 30 Degrees, is greater than the median for town B, 25 Degree.

Explanation:

The median means the middle number. Town A median is 30 and Town B median is 25.

Explanation:

Answer 2

• C. The interquartile range (IQR) for town A, 20°, is greater than the IQR for town B, 10°

Explanation:

The IQR is about middle 50% of data range. This is the difference between Q3 and Q1.

Town A

• Q3 = 40, Q1 = 20
• IQR = 40 - 20 = 20

Town B

• Q3 = 45. Q1 = 35
• IQR = 45 - 35 = 10

Correct choice is C