Which statement is the most appropriate comparison of the spreads?A.The interquartile range (IQR) for town A, 45°, is less than the IQR for town B, 50°.B.The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°.C.The standard deviation for town A, 15°, is less than the standard deviation for town B, 20°.D.The interquartile ranges (IQRs) for towns A and B are both 30°.
Question
Which statement is the most appropriate comparison of the spreads?A.The interquartile range (IQR) for town A, 45°, is less than the IQR for town B, 50°.B.The interquartile range (IQR) for town A, 15°, is less than the IQR for town B, 20°.C.The standard deviation for town A, 15°, is less than the standard deviation for town B, 20°.D.The interquartile ranges (IQRs) for towns A and B are both 30°.
Solution
The question seems to be asking for a comparison of the spreads of data for two towns, A and B. The spread of data can be measured using the interquartile range (IQR) or the standard deviation.
A. The IQR for town A is 45°, and for town B it's 50°. This statement is saying that the spread of data for town A is less than that for town B.
B. The IQR for town A is 15°, and for town B it's 20°. This statement is also saying that the spread of data for town A is less than that for town B.
C. The standard deviation for town A is 15°, and for town B it's 20°. This statement is saying that the spread of data for town A is less than that for town B, but it's using a different measure of spread (standard deviation instead of IQR).
D. The IQRs for towns A and B are both 30°. This statement is saying that the spreads of data for towns A and B are equal.
Without additional context or data, it's impossible to say which statement is the most appropriate comparison of the spreads. It would depend on the actual data for the two towns.
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