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

Step 1 of 2</p>

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