Chapter_02 - Statistics Chapter 2: Methods for Describing...

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Statistics Chapter 2: Methods for Describing Sets of Data
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 2 Where We’ve Been Inferential and Descriptive Statistics The Key Elements of a Statistics Problem Quantitative and Qualitative Data Statistical Thinking in Managerial Decisions
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 3 Where We’re Going Describe Data by Using Graphs Describe Data by Using Numerical Measures Summation Notation Central Tendencies Variability The Standard Deviation Relative Standing Outliers Graphing Bivariate Relationships Distorting the Truth
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 4 2.1: Describing Qualitative Data Qualitative Data are nonnumerical Major Discipline Political Party Gender Eye color
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 5 2.1: Describing Qualitative Data Summarized in two ways: Class Frequency Class Relative Frequency
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 6 2.1: Describing Qualitative Data Class Frequency A class is one of the categories into which qualitative data can be classified Class frequency is the number of observations in the data set that fall into a particular class
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 7 2.1: Describing Qualitative Data Example: Adult Aphasia Subject Type of Aphasia Subject Type of Aphasia 1 Broca’s 12 Broca’s 2 Anomic 13 Anomic 3 Anomic 14 Broca’s 4 Conduction 15 Anomic 5 Broca’s 16 Anomic 6 Conduction 17 Anomic 7 Conduction 18 Conduction 8 Anomic 19 Broca’s 9 Conduction 20 Anomic 10 Anomic 21 Conduction 11 Conduction 22 Anomic
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 8 2.1: Describing Qualitative Data Example: Adult Aphasia Type of Aphasia Frequency Anomic 10 Broca’s 5 Conduction 7 Total 22
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 9 2.1: Describing Qualitative Data Class Relative Frequency Class frequency divided by the total number of observations in the data set class frequency class relative frequency = n
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 10 2.1: Describing Qualitative Data Class Percentage Class relative frequency multiplied by 100 class percentage = (class relative frequency) 100 ×
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 11 2.1: Describing Qualitative Data Example: Adult Aphasia Type of Aphasia Relative Frequency Class Percentage Anomic 10/22 = .455 45.5% Broca’s 5/22 = .227 22.7% Conduction 7/22 = .318 31.8% Total 22/22 = 1.00 100%
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McClave, Statistics , 11th ed. Chapter 2: Methods for Describing Sets of Data 12 2.1: Describing Qualitative Data Example: Adult Aphasia 0 2 4 6 8 10 Anomic Broca's Conduction Bar Graph: The categories (classes) of the qualitative variable are represented by bars, where the height of each bar is either the class frequency, class relative frequency or class percentage.
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McClave, Statistics , 11th ed. Chapter 2:
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Chapter_02 - Statistics Chapter 2: Methods for Describing...

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