Question

Using the table below, Classify the variables and the levels of measurement used? Explain your choice of the levels of measurement.

Respondent #	Age	Sex	Ever Smoked	Grades	Marijuana Smoked
1	18	1	2	2	1
2	17	1	2	2	1
3	16	1	2	1	1
4	15	1	1	3	1
5	17	1	2	3	1
6	15	1	2	1	1
7	14	1	1	1	1
8	15	1	1	1	1
9	15	1	1	2	1
10	15	1	1	2	1

Answer 1

There are two types of Variabes

1.Numerical(discrete or continuous).

Numerical variables take numerical values, and represent some kind of measurement.

• Discrete, when the variable takes on a countable number of values.
• Continuous, when the variable can take on any value in some range of values.

2.Categorical(nominal or ordinal).

Categorical variables take category or label values,

• Nominal, when there is no natural ordering among the categories,such as gender,eye colour etc.

• Ordinal, when there is a natural order among the categories, such as, ranking scales or letter grades.

Solution:

Age is a numerical(discrete) variable can take any countable value.for example : 14,15,16,17,18 .

age can be viewed as a discrete variable because it is commonly expressed as an integer in units of years with no decimal .

Sex is catergorical(Nominal) variable can take only two values without any ordering . for example : 1=Male, 2=female without any ordering.

Ever Smoked is a categorical(nominal) variable can take two values without any ordering . For example : 1=Yes , 2= No.

Grades is a Categorical(Ordinal) variable can take three values with ordering . for example :1 =A grade,2 =B grade,3 =C grade .

Marijuana Smoked is a categorical(nominal) variable can take two values without any ordering. For example : 1=Yes , 2= No.