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PRACTICEFINAL

PRACTICEFINAL - Practice Final Part 1 Organize describe and...

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Practice Final Part 1: Organize, describe and interpret data sets in meaningful tables and graphs, and evaluate measures of central tendency and variation. The annual oil consumption per person (in barrels) is given below for 13 different countries. a. Find the mean, median and mode of this data. SOLUTION x 2 ( ) x μ - 1 121 2 100 4 64 7 25 8 16 18 36 12 0 13 1 11 1 12 0 16 16 26 196 26 196 x = 156 2 ( ) x μ - = 77 2 Indi a Chin a Braz il Mexic o Russi a S.Kore a Ital y Franc e Brita in German y Japa n Canad a U S 1 2 4 7 8 18 12 13 11 12 16 26 26

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Mean = 156 12 13 x n μ = = = Median = Value of the middle term = 12 Mode = Most repeated value There are two modes 12, 26 b. Find the range and standard deviation of this data. SOLUTION Range = Max value-Min value = 26-1=25 Standard deviation 2 ( ) 772 8.02 1 13 1 x n μ σ - = = = - - c. Construct the five number summary and the box and whisker plot for the scores. Identify each of the five summary numbers. SOLUTION The five number summary Minimum value = 1 First quartile 1 Q =7 Median = 12 Third quartile 3 Q = 16 Maximum value = 26
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