Question

Determine if the variable is qualitative or quantitative. If quantitative, then also state if the variable
is discrete or continuous.
a. Weight of a car

b. Gender of a person

Answer 1

Variable:- A variable is any characteristics, number, or quantity that can be measured or counted. A variable may also be called a data item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye colour and vehicle type are examples of variables. It is called a variable because the value may vary between data units in a population, and may change in value over time.
For example; 'income' is a variable that can vary between data units in a population (i.e. the people or businesses being studied may not have the same incomes) and can also vary over time for each data unit (i.e. income can go up or down).

Types os Variabels:-

There are different ways variables can be described according to the ways they can be studied, measured, and presented.

Numeric variables have values that describe a measurable quantity as a number, like 'how many' or 'how much'. Therefore numeric variables are quantitative variables.

Numeric variables may be further described as either continuous or discrete:

1. A continuous variable is a numeric variable. Observations can take any value between a certain set of real numbers. The value given to an observation for a continuous variable can include values as small as the instrument of measurement allows. Examples of continuous variables include height, time, age, and temperature.

2. A discrete variable is a numeric variable. Observations can take a value based on a count from a set of distinct whole values. A discrete variable cannot take the value of a fraction between one value and the next closest value. Examples of discrete variables include the number of registered cars, number of business locations, and number of children in a family, all of of which measured as whole units (i.e. 1, 2, 3 cars).

Answer(a) Weight of a car is continuous variabe. because let weight of car is 525.34 KG. this is not measure by discrete variable.

Answer(b) Gender of a person is discrete variable.