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Chapter 111 Displaying Distributions with Graphs.

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1 Chapter 111 Displaying Distributions with Graphs

2 Chapter 112 Thought Question 1 Two internet providers are being compared in terms of how long it takes to download large media files. Over a two month period the download times of the same 100 media files (of a specified size) are recorded for each provider. What summary measures of these times for each provider would be necessary to make a useful comparison?

3 Chapter 113 Thought Question 2 From the roster of a professional football team, the salary of the starting quarterback is an “outlier.” What do you think this means? If the players’ ages were considered, would this same quarterback necessarily have a value that is an “outlier”? Explain.

4 Chapter 114 Turning Quantitative Data Into Information u Shape of the data u Center of the data u Spread of the data (Variability)

5 Chapter 115 Weight Data STAT 208 Class Survey -- Spring, 1997 -- Virginia Commonwealth University

6 Chapter 116 Stemplots (Stem-and-Leaf Plots) u For quantitative variables u Separate each observation into a stem (first part of the number) and a leaf (the remaining part of the number) u Write the stems in a vertical column; draw a vertical line to the right of the stems u Write each leaf in the row to the right of its stem; order leaves if desired

7 Chapter 117 Weight Data 1212

8 Chapter 118 Weight Data: Stemplot (Stem & Leaf Plot) 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Key 20 | 3 means 203 pounds Stems = 10’s Leaves = 1’s 192 2 152 2 5 135

9 Chapter 119 Weight Data: Stemplot (Stem & Leaf Plot) 10 0166 11 009 12 0034578 13 00359 14 08 15 00257 16 555 17 000255 18 000055567 19 245 20 3 21 025 22 0 23 24 25 26 0 Key 20 | 3 means 203 pounds Stems = 10’s Leaves = 1’s

10 Chapter 1110 Weight Data: Frequency Table * Left endpoint is included in the group, right endpoint is not.

11 Chapter 1111 Weight Data: Histogram 100120140160180200220240260280 Weight * Left endpoint is included in the group, right endpoint is not.

12 Chapter 1112 Shape of the Data u Symmetric –bell shaped –other symmetric shapes u Asymmetric –skewed to the right –skewed to the left u Unimodal, bimodal

13 Chapter 1113 Symmetric Distributions Bell-Shaped

14 Chapter 1114 Symmetric Distributions Mound-Shaped

15 Chapter 1115 Symmetric Distributions Uniform

16 Chapter 1116 Asymmetric Distributions Skewed to the Left

17 Chapter 1117 Asymmetric Distributions Skewed to the Right

18 Chapter 1118 Outliers u Extreme values, far from the rest of the data. u May occur naturally u May occur due to error in recording u May occur due to error in measuring u Observational unit may be fundamentally different

19 Chapter 1119 Number of Books Read for Pleasure

20 Chapter 1120 Key Concepts u Displays (Stemplots & Histograms) u Graph Shapes –Symmetric –Skewed to the Right –Skewed to the Left u Outliers


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