Modified Boxplot A modified boxplot is a boxplot that uses

Chapter 2, Problem 58EC

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QUESTION:

Problem 58EC

Modified Boxplot A modified boxplot is a boxplot that uses symbols to identify outliers. The horizontal line of a modified boxplot extends as far as the minimum data entry that is not an outlier and the maximum data entry that is not an outlier. In Exercise, (a) identify any outliers and (b) draw a modified boxplot that represents the data set. Use asterisks (*) to identify outliers.

75 78 80 75 62 72 74 75 80 95 76 72

Questions & Answers

QUESTION:

Problem 58EC

Modified Boxplot A modified boxplot is a boxplot that uses symbols to identify outliers. The horizontal line of a modified boxplot extends as far as the minimum data entry that is not an outlier and the maximum data entry that is not an outlier. In Exercise, (a) identify any outliers and (b) draw a modified boxplot that represents the data set. Use asterisks (*) to identify outliers.

75 78 80 75 62 72 74 75 80 95 76 72

ANSWER:

Solution

Step 1 of 2

a) We have to identify the outliers

From the given data

       =

       =

       =72.5

       =

       =

       =79.5

        =79.5-72.5

        =7

Lower forth=

                   =72.5-1.5(7)

                   =62

Upper forth=

                   =79.5+1.5(7)

                   =90

The points beyond 62  to 90 are called as outliers

From the given data 95 is not in the interval (3,19)

Hence 95 is an outlier


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