A sample of 600 values produced the following summary statistics: Based on this information, upper fence on a box and whisker plot is:
A) 26.80
B) -4.60
C) 75.80
D) 102.60
E) 62.4

Question

A sample of 600 values produced the following summary statistics:  Based on this information, upper fence on a box and whisker plot is:
A) 26.80 
B) -4.60 
C) 75.80 
D) 102.60 
E) 62.4

Quizplus · Accepted Answer

To find the upper fence on a box and whisker plot, we need to calculate the interquartile range (IQR) and then add 1.5 times the IQR to the third quartile (Q3). 
From the summary statistics provided, we can see that Q1 = 24.80, Q2 (median) = 36.00, and Q3 = 49.00. 
Using these values, we can calculate the IQR as:
IQR = Q3 - Q1 = 49.00 - 24.80 = 24.20 
Then, the upper fence would be:
Upper fence = Q3 + 1.5(IQR) = 49.00 + 1.5(24.20) = 102.60 
Therefore, the best choice is D, with an upper fence of 102.60.

A Sample of 600 Values Produced the Following Summary Statistics