What is a quantile?

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Maybe visually would help. Definitions usually have a lot of mathematical jargon.

In: Mathematics

4 Answers

Anonymous 0 Comments

[Here is a picture of quantiles](https://upload.wikimedia.org/wikipedia/commons/5/5e/Iqr_with_quantile.png)

In this picture, the x (horizontal) axis represents the value of something. It could be, for example, the age of a person.

The y (vertical) axis would represent how many members of the sample set have that value. If we are talking about the age of people, the y-axis represents the number of people of a given age.

The curve as a whole represents the whole population (or at least some sample size of the population). But let’s say you want to divide the population up into groups by age so that each group has the same number of people in it.

Those divisions are called quantiles.

In the linked picture, we divided the group into four, which makes them *quar*tiles. From the left side of the graph to Q1 has the same size as Q1 to Q2 which has the same size as Q2 to Q3 which has the same size as Q3 to the right-side of the graph.

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