In: Statistics and Probability
2. For each of the following variables, indicate if it is quantitative or categorical and also indicate the scale of measurement used for each:
The Gender of an individual
The Weight(pounds) of a package
The Income(dollars) of an individual
The Distance(miles) between two cities
ANSWER
1.The Gender of an Individual is a categorical variable
Here, Gender has the following categories, namely-
For example- A boy named Ravi would fall under the MALE category, while a girl named Aasha would fall under the FEMALE category.
The scale of measurement used for Gender of an individual is Nominal Scale.
2.The Weight(pounds) of a package is a Quantitative variable.
Weight generally, is represented as a Numerical value.
Example- The weight of a package is 20 pounds.
The scale of measurement is ratio scale.
3.The Income(dollars) of an Individual is a Quantitative Variable. It can be expressed in Numericals.
For Example- Mr. Jefferson earns 40$ per month.
The Scale of measurement used is Ratio Scale
4.The Distance(miles) between two cities is a Quantitative variable. It is expressed in numericals. Example- The distance between city A and city B is 21 miles
The scale of measurement used is Ratio Scale.
(Note that: Weight, Income and Distance is measured under the Ratio Scale as it has a a defined Zero.)