# MATH 312 Lecture Notes - Lecture 10: Categorical Variable

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MATH312—Jayme Rosenquist

Chapter 29 — Introduction to Statistics and Sampling 10/11/18

29.4 – Types of Data

Take a sample of 5 students from our class and fill in the table. Assign each student a number

{00, …, 34} and use the table of random number to select five students:

Names

Blue/Red

Hours Slept

Hailee

Blue

6

Kianna

Red

5

Savannah

Blue

5

Vanessa

Red

6

Cassidy

Blue

8.5

Take a cluster sample of five students by row:

Names

Blue/Red

Hours Slept

Haley

Blue

9

Brittany

Blue

7

Jenny

Red

5

Briana

Blue

6

Emily

Blue

5

• Two different simple random samples from the same population can produce different

sample statistics.

• What is the difference with these two types of data? There is really no way to organize

the colors.

Types of Data

Categorical: Assigning objects and individuals categories

Measurement: Data that can be measured, ordered, or operated on.

• Deciding a proper item to measure when conducting a study is a very difficult and crucial

task. Most often, studies include both categorical and numerical data.

Give examples of measurement and categorical data in the following contexts:

a) Watching sports

- Measurement: hours spent, number of different sports, money spent on tickets, final

scores

- Categorical: favorite sport, favorite team

b) Swimming:

- Measurement: average strokes/lap, time spent under water, number of competitions,

total meters/time

- Categorical: location, gender, swimwear brand