A sample of 50 values produced the following summary statistics: Based on this information, the left and right ends of the box in a box and whisker plot are, respectively,
A) 10 and 14.6
B) 14.6 and 16.7
C) 10 and 16.7
D) 5.3 and 32.0
E) none of these

Question

A sample of 50 values produced the following summary statistics:  Based on this information, the left and right ends of the box in a box and whisker plot are, respectively,
A) 10 and 14.6 
B) 14.6 and 16.7 
C) 10 and 16.7 
D) 5.3 and 32.0 
E) none of these

Quizplus · Accepted Answer

The box in a box and whisker plot represents the middle 50% of the data, which is the interquartile range (IQR). The IQR can be calculated as the difference between the third quartile (Q3) and the first quartile (Q1). From the given summary statistics, Q1 is 10 and Q3 is 16.7. Therefore, the left end of the box is 10 and the right end of the box is 16.7.

A Sample of 50 Values Produced the Following Summary Statistics