At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Q1 = 8.9 in.Q2 = 13.5 in.Q3 = 15.6 in in.
Given this information,which of the following statements is correct?
A)The distribution of log diameters is symmetric.
B)A log that is over 20 inches in diameter can be considered an outlier.
C)The distribution of log diameters is right-skewed.
D)The distribution is left-skewed.

Question

At a sawmill in Oregon,a process improvement team measured the diameters for a sample of 1,500 logs.The following summary statistics were computed: Q1 = 8.9 in.Q2 = 13.5 in.Q3 = 15.6 in  in.
Given this information,which of the following statements is correct?
A)The distribution of log diameters is symmetric. 
B)A log that is over 20 inches in diameter can be considered an outlier. 
C)The distribution of log diameters is right-skewed. 
D)The distribution is left-skewed.

Quizplus · Accepted Answer

The first quartile (Q1) is 8.9 inches and the second quartile (Q2) is 13.5 inches, which is the median. As Q2 is greater than Q1, the distribution is right-skewed. The third quartile (Q3) is 15.6 inches, but there is no information provided about the maximum value, so we cannot determine if a log over 20 inches is an outlier. Therefore, the correct answer is C.

At a Sawmill in Oregon,a Process Improvement Team Measured the Diameters