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Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 2 Methods for Describing Sets of Data.

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Presentation on theme: "Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 2 Methods for Describing Sets of Data."— Presentation transcript:

1 Copyright © 2013 Pearson Education, Inc. All rights reserved Chapter 2 Methods for Describing Sets of Data

2 Copyright © 2013 Pearson Education, Inc. All rights reserved 2.1 Describing Qualitative Data

3 2 - 3 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

4 2 - 4 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

5 2 - 5 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

6 2 - 6 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.1

7 2 - 7 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

8 2 - 8 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.1 SPSS summary table for types of aphasia

9 2 - 9 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.2 SAS bar graph for type of aphasia

10 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.3 MINITAB pie chart for type of aphasia

11 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.4 SPSS Pareto diagram for type of aphasia

12 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

13 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.5 SAS summary tables for DRUG and COMP

14 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.6 MINITAB side-by-side bar graphs for COMP by value of DRUG

15 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.7 SPSS summary tables for COMP by value of drug

16 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA2.1a MINITAB pie charts for Gender, Disorder, and Dissatisfies with Looks

17 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA2.1b MINITAB pie charts for Gender, Disorder, and Dissatisfies with Looks

18 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA2.1c MINITAB pie charts for Gender, Disorder, and Dissatisfies with Looks

19 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA2.2 MINITAB side-by-side pie charts for Dissatisfied with Looks by Gender

20 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA2.3 MINITAB side-by-side Pie charts for Dissatisfied with Looks by Comorbid Disorder

21 Copyright © 2013 Pearson Education, Inc. All rights reserved 2.2 Graphical Methods for Describing Quantitative Data

22 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.2

23 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.8 MINITAB dot plot for 100 EPA mileage ratings

24 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.9 MINITAB stem-and-leaf display for 100 mileage ratings

25 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.10 SPSS histogram for 100 EPA gas mileage ratings

26 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.3

27 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.11 The effect of the size of a data set on the outline of a histogram

28 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

29 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.4

30 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.12 SPSS histogram for task deviations

31 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.13 MINITAB stem-and-leaf display for task deviations

32 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

33 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA2.4 MINITAB side-by-side histograms for Appearance Evaluation by Gender

34 Copyright © 2013 Pearson Education, Inc. All rights reserved 2.3 Summation Notation

35 Copyright © 2013 Pearson Education, Inc. All rights reserved 2.4 Numerical Measures of Central Tendency

36 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.14 Numerical descriptive measures

37 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

38 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Formula

39 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.15 SAS numerical descriptive measures for 100 EPA gas mileages

40 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

41 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

42 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.16 Location of the Median

43 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

44 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

45 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

46 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

47 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.17 MINITAB descriptive statistics for earthquake data

48 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.18a MINITAB Histogram for Magnitudes of Aftershocks

49 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.18b MINITAB Histogram for Inter- Arrival Times of Aftershocks

50 Copyright © 2013 Pearson Education, Inc. All rights reserved 2.5 Numerical Measures of Variability

51 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.19 Response time histograms for two drugs

52 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

53 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.5

54 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.20 Dot plots for deviations in Table 2.5

55 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

56 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Formula

57 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

58 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

59 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.21 Reproduction of SAS numerical descriptive measures for 100 EPA mileages

60 Copyright © 2013 Pearson Education, Inc. All rights reserved Interpreting the Standard Deviation 2.6

61 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.6

62 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.7

63 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.8

64 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.22 MINITAB descriptive statistics for rat maze times

65 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.23 MINITAB histogram of rat maze times

66 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.24 The relation between the range and the standard deviation

67 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.25 Battery life-length distribution: manufacturer’s claim assumed true

68 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA2.5 MINITAB descriptive statistics for appearance evaluation by gender

69 Copyright © 2013 Pearson Education, Inc. All rights reserved Numerical Measures of Relative Standing 2.7

70 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.26 Location of 90 th percentile for test grades

71 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

72 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.27 SPSS percentile statistics for water-level task deviations

73 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.28 The quartile for a data set

74 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

75 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Formula

76 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.29 Verbal SAT scores of high school seniors

77 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

78 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.30 Population z-scores for a mound–shaped distribution

79 Copyright © 2013 Pearson Education, Inc. All rights reserved Methods for Detecting Outliers: Box plots and z-Scores 2.8

80 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

81 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

82 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.31 Annotated MINITAB box plot for EPA gas mileages

83 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

84 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Definition

85 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.32 MINITAB box plot for water- level task deviations

86 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.9

87 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.33 SAS box plots for reaction-time data

88 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.34 Male salary distribution

89 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Procedure

90 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure SIA2.6 MINITAB box plots for Appearance Evaluation score by Gender

91 Copyright © 2013 Pearson Education, Inc. All rights reserved Graphing Bivariate Relationships (Optional) 2.9

92 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.35 Scatterplot of cost vs. floor area

93 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.36 Hypothetical bivariate relationship

94 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.10

95 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.37 SPSS scatterplot for medical factors data in Table 2.10

96 Copyright © 2013 Pearson Education, Inc. All rights reserved Distorting the Truth with Descriptive Statistics 2.10

97 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Table 2.11

98 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.38 MINITAB bar graph of vessel collisions by location

99 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.39 SPSS bar graph of vessel collisions by location, with adjusted vertical axis

100 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.40 Relative frequency of fatal motor vehicle accidents on each of four major highways

101 Copyright © 2013 Pearson Education, Inc.. All rights reserved. Figure 2.41 Mileage distributions for two car models


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