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Solution: Drawing a Box-and-Whisker Plot In Exercise, (a)
Chapter 2, Problem 19E(choose chapter or problem)
Problem 19E
Drawing a Box-and-Whisker Plot In Exercise, (a) find the five-number summary, and (b) draw a box-and-whisker plot that represents the data set.
4 7 7 5 2 9 7 6 8 5 8 4 1 5 2 8 7 6 6 9
Questions & Answers
QUESTION:
Problem 19E
Drawing a Box-and-Whisker Plot In Exercise, (a) find the five-number summary, and (b) draw a box-and-whisker plot that represents the data set.
4 7 7 5 2 9 7 6 8 5 8 4 1 5 2 8 7 6 6 9
ANSWER:
Solution
Step 1 of 2
a) We have to find the five number summary
From the given data arrange the given values in the ascending order
1,2,2,4,4,5,5,5,6,6, 6,7,7,7,7,8,8,8,9,9
Minimum value =1
First quartile (Q1)=
=
=
=
=4+0.25(5-4)
=4+0.25
=4.25
Median (Q2)=
=
=
=
=6+0.5(6-6)
=6+0
=6
Third quartile (Q3)=
=
=
=
=7+0.75(8-7)
=7+0.75
=7.75
Maximum value =9
Hence the five number summary is
Minimum value =1
First quartile (Q1)=4.75
Median (Q1)=6
Third quartile (Q3)=7.75
Maximum value =9