Here are some summary statistics for annual snowfall in a certain town compiled over the last 15 years: lowest amount = 18 cm,mean = 49 cm,median = 42 cm,range = 82 cm,IQR = 50,Q1 = 20,standard deviation = 10 cm.Between what two values are the middle 50% of snowfall found?
A)20 and 70
B)12.25 and 36.75
C)49 and 42
D)10.5 and 31.5
E)18 and 100

Question

Quizplus · Accepted Answer

The median is closer to the first quartile (Q1) than the third quartile (Q3), indicating a negatively skewed distribution. Therefore, we can estimate that the lower quartile (Q1) is around 20 cm and the upper quartile (Q3) is around 70 cm. The interquartile range (IQR) is the distance between Q1 and Q3, which is given as 50 cm. Thus, the middle 50% of snowfall is found between Q1 and Q3, or between 20 cm and 70 cm. Therefore, the answer is (A) 20 and 70.

Here Are Some Summary Statistics for Annual Snowfall in a Certain