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Lesson 2 Exploring Data with GraphsPowerPoint Presentation

Lesson 2 Exploring Data with Graphs

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Lesson 2 Exploring Data with Graphs Learn …. The Different Types of Data The Use of Graphs to Describe Data Section 2.1 What are the Types of Data? In Every Statistical Study: Questions are posed Characteristics are observed Characteristics are Variables

Lesson 2 Exploring Data with Graphs

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- Learn ….
The Different Types of Data

The Use of Graphs to Describe

Data

What are the Types of Data?

- Questions are posed
- Characteristics are observed

A Variable is any characteristic that is recorded for subjects in the study

- The terminology variablehighlights the fact that data values vary.

- Variables:
- Age
- GPA
- Major
- Smoking Status
- …

- Each observation can be:
- Quantitative
- Categorical

- Each observation belongs to one of a set of categories
- Examples:
- Gender (Male or Female)
- Religious Affiliation (Catholic, Jewish, …)
- Place of residence (Apt, Condo, …)
- Belief in Life After Death (Yes or No)

- Observations take numerical values
- Examples:
- Age
- Number of siblings
- Annual Income
- Number of years of education completed

- Describe the main features of a variable
- For Quantitative variables: key features are center and spread
- For Categorical variables: key feature is the percentage in each of the categories

- Discrete Quantitative Variables
and

- Continuous Quantitative Variables

- A quantitative variable is discrete if its possible values form a set of separate numbers such as 0, 1, 2, 3, …

- Number of pets in a household
- Number of children in a family
- Number of foreign languages spoken

- A quantitative variable is continuous if its possible values form an interval

- Height
- Weight
- Age
- Amount of time it takes to complete an assignment

- A method of organizing data
- Lists all possible values for a variable along with the number of observations for each value

Example: Shark Attacks

- What is the variable?
- Is it categorical or quantitative?
- How is the proportion for Florida calculated?
- How is the % for Florida calculated?

Example: Shark Attacks

- Insights – what the data tells us about shark attacks

Choice of diet

(vegetarian or non-vegetarian):

- Categorical
- Quantitative

Identify the following variable as categorical or quantitative:

Number of people you have known who have been elected to political office:

- Categorical
- Quantitative

The number of people in line at a box office to purchase theater tickets:

- Continuous
- Discrete

The weight of a dog:

- Continuous
- Discrete

How Can We Describe Data Using Graphical Summaries?

- Pie Chart: A circle having a “slice of pie” for each category
- Bar Graph: A graph that displays a vertical bar for each category

- Which graph do you prefer?
- Why?