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 . 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 list of wins by the Boston Red Sox from 2005 to 2015: 95 , 86 , 96 , 95 , 95 , 89 , 90 , 69 , 97 , 71 , 78 . Calculation: Compute the five-number summary by using the approach mentioned above. Arrange the numbers in ascending order. 69 , 71 , 78 , 86 , 8 9 , 90 , 95 , 95, 95 , 96 , 9 7 . Compute the minimum and maximum value for the data set. Thus, the maximum value of the distribution is 97 and the minimum value of the distribution is 69. Compute the median by using the definition mentioned above. Here, number of values are 11. The number 11 is an odd number. Compute the median of the distribution by using the median formula case 1 mentioned above. 69 , 71 , 78 , 86 , 8 9 , 90 , 95 , 95, 95 , 96 , 9 7 Thus, the middle value is 90 To determine b) To construct: The box-and-whisker plot for the distribution 95 , 86 , 96 , 95 , 95 , 89 , 90 , 69 , 97 , 71 , 78 .

6th Edition

ISBN: 9780134506470

Author: Pirnot

Publisher: PEARSON

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Chapter 14.CT, Problem 8CT

To determine

a)

To calculate:

The five-number summary for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

To determine

b)

To construct:

The box-and-whisker plot for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

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Chapter 14.CT, Problem 7CT

Chapter 14.CT, Problem 9CT

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Chapter 14 Solutions

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a) To calculate: The five-number summary for the distribution 95 , 86 , 96 , 95 , 95 , 89 , 90 , 69 , 97 , 71 , 78 .

Solution Summary: The author explains how to calculate the five-number summary for the Boston Red Sox from 2005 to 2015.

Concept explainers

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a)

To calculate:

The five-number summary for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

b)

To construct:

The box-and-whisker plot for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

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Chapter 14 Solutions

a) To calculate: The five-number summary for the distribution 95 , 86 , 96 , 95 , 95 , 89 , 90 , 69 , 97 , 71 , 78 .

Solution Summary: The author explains how to calculate the five-number summary for the Boston Red Sox from 2005 to 2015.

Concept explainers

Videos

a) To calculate: The five-number summary for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

b) To construct: The box-and-whisker plot for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

Want to see the full answer?

Chapter 14 Solutions

a)

To calculate:

The five-number summary for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.

b)

To construct:

The box-and-whisker plot for the distribution 95, 86, 96, 95, 95, 89, 90, 69, 97, 71, 78.