Question
What is a variable? Distinguish between a discrete and a continuous variable.

Answer

A characteristic, number, or quantity whose value changes overtime is called variable.
For example: Weight, income etc. It can be either discrete or continuous.
Discrete Variable
Continuous Variable
A variable that takes only whole number as its value is called discrete variable.
A variable that can take any value, within a reasonable limit is called a continuous variable
These variables increase in jumps or in complete numbers.
These variables assume a range of values or increase in fractions and not in jumps
For example: Number of people in a family, number of students in a class, etc.
For example: age, height, weight, etc.

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