Question

compares the high temperatures in City 1 and City 2 for one week. In City​ 1, the range in temperature is 8degreesF and the interquartile range​ (IQR) is 7degreesF. In City​ 2, the range in temperature is 19degreesF and the IQR is 7degreesF. What might you conclude about the weather pattern in each city based on the ranges and interquartile​ ranges?
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Part 1
Choose the correct answer below.
A.
The weather pattern in City 1 and City 2 are equally consistent.
B.
The weather pattern in City 1 is more consistent than the weather pattern in City 2.
C.
The weather pattern in City 2 is more consistent than the weather pattern in City 1.
D.
The range and interquartile range do not provide enough information to make a conclusion.

Answer 1

B.

Both cities have the same IQR (the middle 50% of temperatures are equally spread), but City 2's much larger overall range (19 vs. 8) means it has larger extreme deviations. Thus City 1 is more consistent.