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,in a box and whisker plot,which of these four values will NOT appear?
A)8.9 in.
B)13.5 in.
C)15.6 in.
D)14.2 in.

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,in a box and whisker plot,which of these four values will NOT appear?
A)8.9 in. 
B)13.5 in. 
C)15.6 in. 
D)14.2 in.

Quizplus · Accepted Answer

The box and whisker plot will show the minimum value (which could be below Q1), Q1, Q2 (which is also the median), Q3, and the maximum value (which could be above Q3). The value of 14.2 in. falls within the interquartile range (between Q1 and Q3), so it will appear in the box of the plot. Therefore, the value that will NOT appear is 8.9 in., because it is the minimum value and may be below the plot's whisker.

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