Question

These box parts show daily low temperatures for a sample of days in two different towns which statement is the most appropriate comparison of the spreadsA. The interquartile ranges IQR‘s for Town A&B are both 30°B. The standard deviation for town a, 15°, is less than the standard deviation for town B, 20°C. The interquartile ranges IQR for town a, 45°, is less than the IQR for town B, 50°D. The interquar e range IQR for town a, 15°, is less than the IQR for town B, 20°,

Answer 1

D. The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°.

Step-by-step explanation

The interquartile range is the difference between the third and first quartiles,

`IQR=Q_3-Q_1`

The IQR for the temperatures of town A is,

`IQR_A=30-15=15`

And for the temperatures of town B is,

`IQR_B=40-20=20`

Hence, the IQR for town A is 15°, and it is less than the IQR for town B, which is 20°.