Question

In: Statistics and Probability

Identify ordinal and nominal variables (categorical) and continuous and discrete (numerical) from the list: 1) Gender...

Identify ordinal and nominal variables (categorical) and continuous and discrete (numerical) from the list:

1) Gender (Female/Male)

2) Employment status (unemployed, part-time, full-time, internship)

3) Daily Hours spent on a phone

4) Credits in Fall semester

Please, to help me better understand the concept of continuous variables, provide an explanation with an example that does not involved weight or height (those are the ones I keep finding and are not helpful). Something related to social science would be perfect. Thank you.

Solutions

Expert Solution

(1)

Gender (Female/Male) : nominal variables (categorical)

because Gender cannot take numerical value. It can take only values: Female/Male

(2)

Employment status (unemployed, part-time, full-time, internship) : nominal variables (categorical)

because Employment status cannot take numerical value. It can take only values:unemployed, part-time, full-time, internship

(3)

Daily Hours spent on a phone : continuous (numerical)

because Daily Hours spent on a phone can take numerical value. So, it is numerical variable. It can take any value in a given interval including integer values as well as decimal values. So, it is continuous variable.

(4)

Credits in Fall semester: discrete (numerical)

because Credits in Fall semester:can take numerical value. So, it is numerical variable. It can take only integer values. So, it is discrete variable.

Explanation of Continuos Variable:

A continous variable can take any value in a given interval. A discrete variable can take only integer values.For exampl, the number of students in a class is a discrete variable because number of students cannot be fractions.

Examples of continuous variables:

Distance travelled: can take any value including fractional values

Amount of time taken to reach collge: can take any value including fractional values

Volume of water in a container: can take any value including fractional values

Speed of a car: can take any value including fractional values

Income of a person: can take any value including fractional values

Temperature at a place: can take any value including fractional values


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