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Intro to Statistics. Chapter 1. What is statistics…. The science of data. Individuals:. The objects described by a set of data. Examples: People Animals Things. Variables:. Any characteristics of an individual. Categorical variable:
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Intro to Statistics Chapter 1
What is statistics…. • The science of data.
Individuals: • The objects described by a set of data. • Examples: • People • Animals • Things
Variables: • Any characteristics of an individual. • Categorical variable: • Places an individual into one of several groups or categories. • Quantitative variable: • Takes numerical values for which arithmetic operations such as adding and averaging make sense.
Example 1.1: Fuel-efficient cars • Here is a small part of a data set that describes the fuel economy (in miles per gallon) of 1998 model motor vehicles: • What are the individuals in this data set? • For each individual, what variables are given? • Which of these variables are categorical and which are quantitative?
Distribution: • The pattern of variation of the variable.
Displaying Categorical Variables: • The distribution of a categorical variable lists the categories and gives either a count or percent of the individuals who fall in each category. 1. Bar graph 2. Pie chart
Ex 1. Bar Graph… • What is your favorite way of communicating with friends?
Ex 2. Pie Chart… • What is your gender?
Displaying Quantitative Variables: 1. Dotplot 2. Stemplot 3. Histogram 4. Boxplot
Ex 1. Dotplot… • What is your height in inches?
Ex 2. Stemplots… • What is the fastest speed you have ever driven? • Create a stemplot that is not gender specific. • Create a back-to-back stemplot based on gender.
Ex 3. Histogram… • How old is Mr. Padavil?