VCU STAT 210  Lecture8.ppt (44 pages)
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Lecture8.ppt
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 Virginia Commonwealth University
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 Stat 210  Basic Practice of Statistics
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STAT 210 Lecture 8 III Graphically Displaying Distributions September 13 2017 Practice Problems Pages 64 through 67 Relevant problems III 2 III 8 III 12 and III 13 b Recommended problem III 2 III 8 and III 13 b The use the plot to describe the distribution part of the problems can be postponed until after Friday s lecture Additional Reading and Examples Read pages 60 through 64 Top Hat Motivating Example Many college students enjoy playing video games and a study was created to estimate what percentage of all students at this university who include playing video games on their list of top three things to do For those who play video games it is also of interest to estimate the typical cost of the video games and to describe the distribution of video game costs The cost of the last video game that was purchased by a sample of 20 students is given below Construct an appropriate stem and leaf plot to display this data 59 95 35 99 41 29 38 99 45 39 24 95 29 59 32 95 40 50 47 85 30 99 52 95 25 50 44 45 47 99 34 85 32 00 26 99 48 59 53 29 Motivating Example Solution 2 2 3 3 4 4 5 5 495 959 550 699 295 099 485 200 599 899 129 050 445 539 785 799 859 295 329 995 where 4 129 41 29 Descriptive Statistics The branch of statistics concerned with numerical and graphical techniques for analyzing and describing one or more characteristics of a population and for comparing characteristics among populations Top Hat Descriptive Statistics When describing a distribution we describe four things 1 the center of the distribution 2 the spread of the distribution 3 the shape of the distribution 4 any unusual features in the distribution Back to Back Stem and Leaf Plots Used to display two sets of data side by side making it easier to compare the distributions Use a common column of stems with one distribution displayed to the right of the stems as we have been doing and one distribution displayed to the left of the stems Example 10 Example 10 The data ranges from 274 to 470 It is best to use a standard stem and leaf plot with two digit stems ranging from 27 to 47 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 4 27 7 8 28 9 29 1 30 6 2 4 1 31 4 8 32 7 0 4 4 6 7 33 34 5 1 3 4 35 3 1 9 8 0 9 36 8 3 5 9 37 2 5 1 6 0 38 2 9 6 39 40 4 41 42 43 44 45 46 47 4 27 7 8 28 9 29 1 30 3 6 2 4 1 31 4 8 32 4 9 7 0 4
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