Explanation Given: The box plot is, and sets are, Set A : 2 , 3 , 4 , 4 , 6 , 6 , 7 , 15 Set B : 2 , 3 , 6 , 6 , 8 , 9 , 12 , 14 , 15 Set C : 2 , 4.5 , 8 , 13 , 15 Set D : 2 , 3 , 6 , 6 , 8 , 9 , 10 , 11 , 15 Approach: (1) The arithmetic mean of the numbers x 1 , x 2 , … , x n is given by x ¯ = x 1 + x 2 + ⋯ + x n n (2) The middle value of an ordered set of numbers is called median. If the scores has odd number, then the median is middle score and if the score has even number, then the median is the mean of middle two scores. (3) The median of the lower half of the scores is called lower quartile or first quartile and the median of the upper half of the scores is called upper quartile or second quartile. (4) The maximum value in the set is called upper extreme and the minimum value in the set is called lower extreme. (5) A box plot is used to display only certain data, which are visual representations of the five number summary of the data. Calculation: In the box plot, it can be noted that the minimum value is 2 and the maximum value is 15. The median is 8 and the second quartile and first quartile are10

A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

13th Edition

ISBN: 9780135183885

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott, Barbara Boschmans

Publisher: PEARSON

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Chapter 10.4B, Problem 21A

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The data set with the box plot.

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Chapter 10.4B, Problem 20A

Chapter 10.4B, Problem 22A

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A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)

Ch. 10.1 - Suggest how students at different grades might...Ch. 10.1 - Mathematical Connections What are the Nielsen...Ch. 10.1 - Prob. 4MC Ch. 10.1 - Read about basic ideas of statistics in Common...Ch. 10.1 - National Assessment of Educational ProgressNAEP...Ch. 10.1 - Prob. 2NAEP Ch. 10.1 - Prob. 3NAEP Ch. 10.1A - If one wanted to study the effect of using a...Ch. 10.1A - Prob. 2A Ch. 10.1A - Prob. 3A

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To match: The data set with the box plot.

Solution Summary: The author explains how a box plot is used to display only certain data, which are visual representations of five number summary of the data.