Question

Classify the following variables as quantitative or qualitative variables. If the variable is quantitative, identify whether it is discrete or continuous.The fuel economy rating of automobiles.

Answer 1

A quantitative variable is the one who has a numerical significance such as number of items, time spent on playing a video game while a qualitative variable is the one who has not a numerical significance attached to it such as Gender , Eye color

Further in quantitative variable , discrete variable is the one which is a whole number and can not be broken down further , like number of items

while a continuous variable is the one which takes any value within an interval of values like between 1 and 2 , continuous variable can take any value like 1.21, 1.55556, 1.994 etc.

The fuel economy rating of automobiles takes any value like 3.25, 4.56, 10.21.

Thus, the variable is continuous.