## Example

Suppose our data is \[4, 5, 9, 7, 6, 10, 2, 1, 5.\] To find percentiles, it helps to sort the data: \[1,2,4,5,5,6,7,9,10.\]

- The median is definitely 5,
- the \(25^{\text{th}}\) percentile might be 4,
- the \(75^{\text{th}}\) percentile could be 7,
- and the inter-quartile range would be 3.

There are differing conventions on how you interpolate when the number of terms doesn’t work well with the percentile, but these differences diminish with sample size.