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Data Summaries

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Summary Statistics Given a large set of numbers, we often want to describe, or summarize, the data with a few revealing numbers. Example: Yearly sales of two brands of peanut butter

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Summary Statistics Given a large set of numbers, we often want to describe, or summarize, the data with a few revealing numbers. Example: Yearly sales of two brands of peanut butter

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Summary Statistics Example: Yearly sales of two brands of peanut butter Measurements of Center Arithmetic Mean: The Average Median: The data point in the center

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Summary Statistics Example: Yearly sales of two brands of peanut butter Skippy Mean: Jif Mean:

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Summary Statistics Example: Yearly sales of two brands of peanut butter Median: Order the Data If even number average the two center numbers If odd number report the center number

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Summary Statistics Example: Yearly sales of two brands of peanut butter Median: Order the Data If even number average the two center numbers If odd number report the center number two center numbers Skippy and Jif Median = 11

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Why Use A Median? Example: Sales Force Compensation

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Why Use A Median? Example: Sales Force Compensation

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Why Use A Median? Example: Sales Force Compensation

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Why Use A Median? Example: Sales Force Compensation

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Summary Statistics Measurements of Variation Range: Largest - Smallest Standard Deviation: Square Root of Variance Variance: Average Squared Difference

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Summary Statistics Example: Yearly sales of two brands of peanut butter Range: Largest - Smallest Skippy: Jif:

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Summary Statistics Example: Yearly sales of two brands of peanut butter Variance: Average Squared Difference: Skippy Only

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Summary Statistics Example: Yearly sales of two brands of peanut butter Variance: Average Squared Difference: Skippy Only

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Summary Statistics Example: Yearly sales of two brands of peanut butter Variance: Average Squared Difference: Skippy Only

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Summary Statistics Example: Yearly sales of two brands of peanut butter Standard Deviation: Square Root of Variance Skippy: Jif:

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Graphical Summary A Picture is Worth a Thousand Words (Bar Chart)

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Summary Statistics A Year Worth of Weekly Sales Figures

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Summary Statistics Summary Statistics: Using SPSS Skippy Range = 16.94 - 4.56 = 12.38 Jif Range = 14.07 - 9.06 = 5.01

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Graphical Summary Bar Chart

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Graphical Summary Line Chart

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Graphical Summary Histogram

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Graphical Summary The Box and Whisker Plot

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Antidepressant Survey Questionnaire Administered to 178 Physicians Randomly Selected from 100,000 physicians who prescribe of antidepressant drugs Investigating Physician Usage of Antidepressant medication

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Questionnaire

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Questionnaire

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Summary Statistics Frequency Data (0/1 or 1 From Many)

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Graphical Summary Pie Chart

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Prescription Rates

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Prozac Rates by Physician Type First, Box Plot Summaries by Physician Type Second, ReCode Data - High/Average /Low Prescription Rates

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Prozac Rates by Physician Type Box Plot Summaries by Physician Type

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Prozac Rates by Physician Type ReCode Data –Low Rate = 0 to 10 prescriptions per month –Average Rate = 10 to 20 prescriptions per month –High Rate = 20+ prescriptions per month

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Cross Tabulating Data Create a Table Which Summarizes Number in Each Level

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Graphing the Cross Tabulation Same Information Can be Summarized Using a Bar Plot

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Next Class Period in Computer Lab Don’t forget: Next Period 11&14 BAB – from 7:15 p.m. to 9:00 p.m. We will not meet during the regularly class time during the day. Also, please bring a floppy disk to class, to save your work.

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