Question

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
15
20
25
30
0
5
10
15
20
40
45 50
55
60
25 30 35
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, 43
O
B. The interquartile range (IQR) for town A, 20", is greater than the
IQR for town B, 10'.
O
C. The standard deviation for town A, 20", is greater than the
standard deviation for town B, 10'.
O
D. The interquartile ranges (IQRs) for towns A and B are both 30°.

Answer 1

B

Step-by-step explanation:AP3X

Answer 2

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

IQR for town B, 10.

Explanation:

IQR = Q₃ - Q₁

For the town A:

Q₃ = 40 and Q₁ = 20

IQR of town A = 40 - 20 = 20

For the town B:

Q₃ = 30 and Q₁ = 20

IQR of town A = 30 - 20 = 10

Check the given options:

The most statement is appropriate comparison of the spreads is B

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

IQR for town B, 10.