Question

The low temperatures in two cities are being compared. In City 1, the range in temperature is 20°F and the IQR is 7°F. In City 2, the range in temperature is 15°F and the IQR is 7°F. What might you conclude about the cities based on the ranges and interquartile ranges?

A. The weather patterns in City 1 and City 2 are equally consistent.
B. The weather pattern in City 2 is more consistent than the weather pattern in
City 1.
C. The weather pattern in City 1 is more consistent than the weather pattern in
City 2.
D. There is not enough information to make a conclusion

Answer 1

I wanna say (C) would be your best bet correct me if I’m wrong

Answer 2

B. The weather pattern in City 2 is more consistent than the weather pattern in City 1.

Explanation:

Range and Interquartile range(IQR) measures the spread of data. Range measure the overall spread and IQR measures spread in 50% of data.

Range is calculate by difference of maximum and minimum value whereas IQR is calculated by difference of First quartile and third quartile.

Since, the Range and IQR is less for City 2 as compared to City 1.

Thus, weather pattern of City 2 is more consistent as compared to City 1.