Solution Found!
Answer: Drawing a Box-and-Whisker Plot In Exercise, (a)
Chapter 2, Problem 18E(choose chapter or problem)
Problem 18E
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.
171 176 182 150 178 180 173 170 174 178 181 180
Questions & Answers
QUESTION:
Problem 18E
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.
171 176 182 150 178 180 173 170 174 178 181 180
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
150, 170, 171, 173, 174, 176, 178, 178, 180, 180, 181, 182
Minimum value =150
First quartile (Q1)=
=
=
=
=171+0.25(173-171)
=171+0.5
=171.5
Median (Q2)=
=
=
=
=176+0.5(178-176)
=176+1
=177
Third quartile (Q3)=
=
=
=
=180+0.75(180-180)
=180+0
=180
Maximum value =182
Hence the five number summary is
Minimum value =150
First quartile (Q1)=171.5
Median (Q1)=177
Third quartile (Q3)=180
Maximum value = 182