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VCU STAT 210 - Lecture7

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Slide 1Practice ProblemsAdditional Reading and ExamplesSlide 4Motivating Example (see page 44)Motivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleMotivating ExampleDescriptive StatisticsDescriptive StatisticsSlide 16Purpose of Graphical ProceduresQualitative VariablesQuantitative VariablesExampleExampleStem-and-Leaf PlotStem-and-Leaf PlotStem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotSlide 35Example 7Example 7Example 7Example 7Example 7Example 7Example 7Standard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotStandard Stem-and-Leaf PlotExample 8Example 8Example 8Example 8Example 8Example 8Example 8Example 8Slide 54Extended Stem-and-Leaf PlotExample 9Example 9Example 9Example 9Example 9Example 9Example 9AdvantagesDisadvantagesSlide 65Motivating ExampleMotivating Example - SolutionSTAT 210Lecture 7III. Graphically Displaying DistributionsSeptember 11, 2017Practice ProblemsPages 65 through 68Relevant problems: III.1, III.3 – III.7, III.11, III.12 and III.13 (a) onlyRecommended problems: III.1, III.5, and III.13 (a)The “use the plot to describe the distribution” part ofthe problems can be postponed until after Friday’s class.Additional Reading and ExamplesRead pages 61 and 62Top HatMotivating Example (see page 44)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.As described, what is the population of interest for this example?Motivating ExampleMany 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.As described, what is the population of interest for this example?All students at this university.Motivating ExampleMany 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.What type of characteristic is percentage of all students at this university who include playing video games on their list of top three things to do?Motivating ExampleMany 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.What type of characteristic is percentage of all students at this university who include playing video games on their list of top three things to do?A percentage is calculated, so it is a continuous quantitative variable.Motivating ExampleMany 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.What type of characteristic is cost of video games, to the nearest dollar and cent (for example, $40.95)?Motivating ExampleMany 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.What type of characteristic is cost of video games, to the nearest dollar and cent (for example, $40.95)?One can count cents (pennies), so it is a discrete quantitative variable.Motivating ExampleMany 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.In a sample of 121 students at this university, 10 included video games on their list of top three things to do. Hence 10/121 = 8.3% of the students in this sample included video games on their list.Is 8.3% an example of a parameter or a statistic?Motivating ExampleMany 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.In a sample of 121 students at this university, 10 included video games on their list of top three things to do. Hence 10/121 = 8.3% of the students in this sample included video games on their list.Is 8.3% an example of a parameter or a statistic?Statistic because it is computed from the sample data.Motivating ExampleMany 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. This data will be used in later sections of this


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VCU STAT 210 - Lecture7

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