Discrete Data
What Is Discrete Data?
Discrete data can only take certain values. It can (often) be counted.
Discrete data is a type of quantitative data. It is described in numbers.
Dictionary Definition
The Oxford English Dictionary defines discrete as "quantity composed of distinct units, as number, in contrast to continuous quantity or magnitude."
Real Examples of Discrete Data

A teacher collects the test scores of their class.
The test scores of the pupils are discrete data. Pupils can only get a whole number of marks. 5 marks or 8 marks make sense, but 5^{1}/_{8} marks does not make sense.

Different shapes have different numbers of sides.
The number of sides are discrete data. You can only have a whole number of sides. It doesn't make sense to have ½ a side.
More Real Examples of Discrete Data  Not Just Whole Numbers
From the examples above, we see that when we count a whole number of items, we get discrete data.
However, values do not need to be whole numbers to be discrete, as the following examples demonstrate.

A cake shop sells slices of cake. Each slice is an ^{1}/_{8}^{th} of a cake. Customers can only buy multiples of ^{1}/_{8}^{ths} of a cake.

Shoes come in different sizes. Shoe sizes usually come in whole numbers, but occasionally come in ½ sizes.