Explanation Given: The data set is, 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43 Formula used: Five number summary: The median divides a data set into two halves. The set of numbers below the median is called the lower half and the set of numbers above the median is called the upper half. The median of the lower half is called the first quartile and is indicated by Q 1 ; the third quartile, denoted by Q 3 , is the median of the upper half. The five-number summary of a set of data values consists of the following: minimum value, Q 1 , median, Q 3 , maximum value Calculation: Consider the given data set, 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43 The minimum value in the data set is 15 and maximum value is 45. For finding the median first arrange the data set in increasing order, 15 , 18 , 18 , 21 , 21 , 23 , 24 , 26 , 27 , 31 , 36 , 41 , 43 , 44 , 45 The median is the middle value. The data set has 15 values. So, the middle value is 15 + 1 2 = 16 2 = 8 t h value To determine b) To graph: The box-whisker plot for the distribution, 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43

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ISBN: 9780134462356

Author: Pirnot

Publisher: PEARSON

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Question

Chapter 14.2, Problem 18E

To determine

a)

To calculate:

The five number summary for the distribution.

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

To determine

b)

To graph:

The box-whisker plot for the distribution,

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

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Chapter 14.2, Problem 17E

Chapter 14.2, Problem 19E

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Chapter 14 Solutions

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a) To calculate: The five number summary for the distribution. 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43

Solution Summary: The author explains how the median divides a data set into two halves: the lower half and the upper half.

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Videos

a)

To calculate:

The five number summary for the distribution.

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

b)

To graph:

The box-whisker plot for the distribution,

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

Want to see the full answer?

Chapter 14 Solutions

a) To calculate: The five number summary for the distribution. 21 , 24 , 15 , 45 , 18 , 31 , 26 , 41 , 23 , 18 , 44 , 27 , 36 , 21 , 43

Solution Summary: The author explains how the median divides a data set into two halves: the lower half and the upper half.

Concept explainers

Videos

a) To calculate: The five number summary for the distribution. 21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

b) To graph: The box-whisker plot for the distribution, 21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

Want to see the full answer?

Chapter 14 Solutions

a)

To calculate:

The five number summary for the distribution.

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43

b)

To graph:

The box-whisker plot for the distribution,

21,24,15,45,18,31,26,41,23,18,44,27,36,21,43