## Percentiles for ungrouped data

Percentiles are the values of arranged data which divide whole data into **hundred** equal parts. They are 9 in numbers namely `$P_1,P_2, \cdots, P_{99}$`

. Here $P_1$ is first percentile, $P_2$ is second percentile, $P_3$ is third percentile and so on.

## Formula

The formula for $i^{th}$ percentile is

### $P_i =$ Value of `$\bigg(\dfrac{i(N+1)}{100}\bigg)^{th}$`

observation, `$i=1,2,3,\cdots,99$`

where $N$ is the total number of observations.