Question

City Temp (degrees Celsius) Temp (degrees Celsius) Temp (degrees Celsius) Temp (degrees Celsius) Temp (degrees Celsius) Temp (degrees Celsius) Temp (degrees Celsius)
Baltimore, MD 23 25 28 28 32 33 35
Seattle, WA 16 24 26 26 26 27 28


The weather service recorded some temperatures in Baltimore and Seattle throughout the month of October. Which statement is TRUE when comparing the interquartile range (IQR) of the cities?
Responses

A The amount of spread in the middle-half of Baltimore's data is greater than Seattle's.The amount of spread in the middle-half of Baltimore's data is greater than Seattle's.

B The amount of spread in the middle-half of Seattles's data is greater than Baltimore's.The amount of spread in the middle-half of Seattles's data is greater than Baltimore's.

C The amount of spread in the middle-half of both cities is exactly the sameThe amount of spread in the middle-half of both cities is exactly the same

D A typical day's temperature in both cities is about 27° Celsius.

Answer 1

A

Compute quartiles (7 values each):

- Baltimore: 23, 25, 28, 28, 32, 33, 35 → Q1 = 25, Q3 = 33 → IQR = 33 − 25 = 8.
- Seattle: 16, 24, 26, 26, 26, 27, 28 → Q1 = 24, Q3 = 27 → IQR = 27 − 24 = 3.

Baltimore's middle-half spread (IQR = 8) is greater than Seattle's (IQR = 3).