Explanation Given: Consider the annual revenue (in billions of dollars) for 10 years of the two company IBM and Microsoft. Year IBM Microsoft 2007 99 51 2008 104 60 2009 96 58 2010 100 62 2011 107 70 2012 105 73 2013 100 78 2014 93 86 2015 82 94 2016 80 85 Calculation: To determine the five number summary that is the minimum value, lower quartile ( Q 1 ), median ( Q 2 ), upper quartile ( Q 3 ) and the maximum value of the distributions rewrite the annual revenue of the company in ascending order. i 1 2 3 4 5 6 7 8 9 10 x i 51 58 60 62 70 73 78 85 86 94 Therefore the minimum and maximum values of the distributions are 51 and 94 respectively and the number of entry n = 10 . For the lower quartile will be ( 0.25 n ) th data of the distributions is: 0.25 n = 0.25 × 10 = 2.5 ≈ 3 Therefore, the lower quartile will be the 3 rd entry of the distributions is: Q 1 = 60 As the number of entry n = 10 is even number hence the median of the distributions is: Q 2 = 1 2 { ( n 2 ) <

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Chapter 10.3, Problem 38E

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To graph: The box-plot diagram of the distribution corresponding to the annual revenue of the company IBM.

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Chapter 10.3, Problem 37E

Chapter 10.3, Problem 39E

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To graph: The box-plot diagram of the distribution corresponding to the annual revenue of the company IBM.

Solution Summary: The author analyzes the distribution corresponding to the annual revenue of the company IBM and Microsoft.

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Chapter 10 Solutions