A sample of 600 values produced the following summary statistics: Based on this information, the lower fence on a box and whisker plot is:
A) 26.80
B) -4.60
C) 75.80
D) 102.60
E) 56.8

Question

A sample of 600 values produced the following summary statistics:  Based on this information, the lower fence on a box and whisker plot is:
A) 26.80 
B) -4.60 
C) 75.80 
D) 102.60 
E) 56.8

Quizplus · Accepted Answer

The lower fence on a box and whisker plot is given by:

Lower fence = Q1 - 1.5(IQR)

where Q1 is the first quartile and IQR is the interquartile range.

From the summary statistics provided, we can see that the first quartile (Q1) is 43.00 and the interquartile range (IQR) is 29.40 - 43.00 = 13.40.

Plugging these values into the formula gives:

Lower fence = 43.00 - 1.5(13.40) = -4.60

Therefore, the lower fence on the box and whisker plot is -4.60, which corresponds to choice B.

A Sample of 600 Values Produced the Following Summary Statistics