Answer: Drawing a Box-and-Whisker Plot In Exercise, (a)

Chapter 2, Problem 18E

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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

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


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