1. Classify each variable as qualitative or quantitative. If it is quantitative,

Question

1. Classify each variable as qualitative or quantitative. If it is quantitative, state whether it is discrete or continuous. Explain. (10pts)

a) Height
b) Area code

c) Temperature

d) Blood type

e) Volume

2. For each of the following give the name of the sampling method as (10pts) Random, Cluster, etc. Also tell if the sample will represent the population or not. Explain your answer.

a) An instructor in a large lecture course of 300 students would like to get a student sample, and he selects every 10th name from the class roster. b) Students in your class are divided into freshmen, sophomores, juniors, and seniors. One of the groups is selected at random and all the students in that group are selected.

Explanation / Answer

Qualitative vs. Quantitative Variables

Variables can be classified as qualitative (aka, categorical) or quantitative (aka, numeric).

In algebraic equations, quantitative variables are represented by symbols (e.g., x, y, or z).

Discrete vs. Continuous Variables

Quantitative variables can be further classified as discrete or continuous. If a variable can take on any value between its minimum value and its maximum value, it is called a continuous variable; otherwise, it is called a discrete variable.

Some examples will clarify the difference between discrete and continouous variables.

a. Height is Quantative continuous

b. Area Code Quantitative and discrete

c. Temperature Quantitive and continuous

d. Blood type is Qualitative

e. Qualitative

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