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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°,

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 i class=

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ANSWER

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

EXPLANATION

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

[tex]IQR=Q_3-Q_1[/tex]

The IQR for the temperatures of town A is,

[tex]IQR_A=30-15=15[/tex]

And for the temperatures of town B is,

[tex]IQR_B=40-20=20[/tex]

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

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