Explanation 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 Q1 ; the third quartile, denoted by Q3, is the median of the upper half. The five-number summary of a set of data values consists of the following: minimum value, Q1, median, Q3, maximum value For example, Consider the given data set, 31 , 25 , 41 , 33 , 28 , 34 , 37 , 41 , 33 , 29 , 49 , 32 , 38 , 45 , 30 The minimum value in the data set is 25 and maximum value is 49. For finding the median first arrange the data set in increasing order, 25 , 28 , 29 , 30 , 31 , 32 , 33 , 33 , 34 , 37 , 38 , 41 , 41 , 45 , 49 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. 25 , 28 , 29 , 30 , 31 , 32 , 33 _ Lower half , 33 _ m e d i a n , 34 , 37 , 38 , 41 , 41 , 45 , 49 _ Upper half The median is 33

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Author: Pirnot

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Chapter 14.2, Problem 50E

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The five numbers in a box-and-whisker plot. In a box-and-whisker plot, what the box and the whiskers represent.

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Chapter 14.2, Problem 49E

Chapter 14.2, Problem 51E

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The five numbers in a box-and-whisker plot. In a box-and-whisker plot, what the box and the whiskers represent.

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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The five numbers in a box-and-whisker plot. In a box-and-whisker plot, what the box and the whiskers represent.

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