Explanation Approach for five-number summary: Step 1: Arrange the numbers in ascending order. Step 2: Compute the minimum and maximum value for the data set. Now that your numbers are in order, this should be easy to spot. Step 3: Compute the median. Step 4: Place parentheses around the numbers above and below the median. Step 5: Find Q 1 and Q 3 . Q 1 is the median in the lower half of the data and Q 3 is the median in the upper half of the data Step 6: Write down the five numbers summary by using the following steps. Minimum value , Q 1 , Median, Q 3 and Maximum value . Approach for box-and-whisker plot: Step 1: Determine the values for five-number summary. Step 2: Draw the horizontal axis from the minimum value to the maximum value. Step 3: Draw the rectangular box over the axis from Q 1 to Q 3 . The height of the box is not important. Step 4: Draw the vertical line in the box where the median is located. Step5: Draw the horizontal lines extending from the edges of the boxes to the minimum and maximum values. These are the whiskers. Definition: Median: First arrange a set of data values in increasing or decreasing order. The median is the middle value in the list of arranged data values. Case 1: If there are an odd number of values, then the median is the value in the middle position. Case 2: If there is an even number of values, then the median is the mean of two middle values. Given: The distribution is 10 , 8 , 6 , 12 , 6 , 3 , 11 , 7 , 6 , 17 , 4 , 9 , 13 , 20 , 7 . Calculation: Compute the five-number summary by using the approach mentioned above. Arrange the numbers in ascending order. 3 , 4 , 6 , 6 , 6 , 7 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 17 , 20 . Compute the minimum and maximum value for the data set. Thus, the maximum value of the distribution is 20 and the minimum value of the distribution is 3. Compute the median by using the definition mentioned above. Here, number of values are 15

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

Publisher: PEARSON

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Chapter 14.CR, Problem 9CR

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To construct:

The box-and-whisker plot for the distribution 10, 8, 6, 12, 6, 3, 11, 7, 6, 17, 4, 9, 13, 20, 7.

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Chapter 14.CR, Problem 8CR

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To construct: The box-and-whisker plot for the distribution 10 , 8 , 6 , 12 , 6 , 3 , 11 , 7 , 6 , 17 , 4 , 9 , 13 , 20 , 7 .

Solution Summary: The author explains how to construct a box-and-whisker plot for the distribution.

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To construct:

The box-and-whisker plot for the distribution 10, 8, 6, 12, 6, 3, 11, 7, 6, 17, 4, 9, 13, 20, 7.

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Chapter 14 Solutions

To construct: The box-and-whisker plot for the distribution 10 , 8 , 6 , 12 , 6 , 3 , 11 , 7 , 6 , 17 , 4 , 9 , 13 , 20 , 7 .

Solution Summary: The author explains how to construct a box-and-whisker plot for the distribution.

Concept explainers

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To construct: The box-and-whisker plot for the distribution 10, 8, 6, 12, 6, 3, 11, 7, 6, 17, 4, 9, 13, 20, 7.

Want to see the full answer?

Chapter 14 Solutions

To construct:

The box-and-whisker plot for the distribution 10, 8, 6, 12, 6, 3, 11, 7, 6, 17, 4, 9, 13, 20, 7.