STA 301 - Ch 01 - pp. 11-19

# STA 301 - Ch 01 - pp. 11-19 - Chapter 1 Introduction to...

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Chapter 1: Introduction to Statistics and Data Analysis 11 DATA TYPES At the beginning of any statistical analysis, it is important to identify the nature of the data that are available. One key distinction is the difference between quantitative and qualitative variables: Quantitative variables are naturally measured numerically. Quantitative data can be further divided into continuous and discrete variables. To see the difference, think about whether the possible values can be reasonably listed (even if the list never ends!). The values of discrete variables can be listed: o The number of games the St. Louis Cardinals win next season will come from the list: 0, 1, 2, 3, . . . , 160, 161, 162. o The number of times Chicago Cubs fans will complain about being cursed: 0, 1, 2, 3, 4, 5, . . . The values of continuous variables cannot be reasonably listed: o A person’s weight in pounds might be 160, or 161, or any number in between! o My age changes (ever so slightly) with every passing moment. Qualitative variables are not numerically measured. Instead, the data fall into descriptive categories. Eye color might be brown, blue, or green. You might “Strongly Agree”, “Agree”, “Neither Agree nor Disagree”, “Disagree”, or “Strongly Disagree” with the statement “I love STA 301!” Examples: QUANTITATIVE QUALITATIVE CONTINUOUS DISCRETE Weight Family Size Marital Status Income # of Cars owned Eye Color Distance # of Pets Citizenship Age Religion What type of variables are the following? Occupation Number of pets owned Region of Residence Height

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Chapter 1: Introduction to Statistics and Data Analysis 12 DESCRIPTIVE STATISTICS Now that we have discussed various methods for obtaining samples, we shall discuss graphical
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STA 301 - Ch 01 - pp. 11-19 - Chapter 1 Introduction to...

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