Question

Here are some summary statistics for annual snowfall in a certain town compiled over the last 15 years: minimum=10 inches, mean=40 inches, median=34 inches, range=91 inches, IQR=51 inches, Q1=17 inches, standard deviation=11 inches. Between what two values are the middle 50% of snowfalls found?

a. 11 and 17
b. 17 and 68
c. 17 and 51
d. 40 and 68
e. 17 and 34

Answer 1

The middle 50% of snowfalls are found between 17 inches and 68 inches, calculated by adding the IQR of 51 inches to the first quartile value of 17 inches.

Step-by-step explanation:

The middle 50% of annual snowfalls are found between the first quartile (Q1) and the third quartile (Q3). The first quartile is at 17 inches of snow and the Interquartile Range (IQR) is 51 inches. To find the third quartile (Q3), simply add the IQR to the first quartile (Q1).

Q3 = Q1 + IQR
Q3 = 17 inches + 51 inches
Q3 = 68 inches

Therefore, the middle 50% of snowfalls are found between 17 inches and 68 inches.