Question

Jesse was ranked $37th$ in his graduating class of $180$ students. At what percentile is Jesse’s ranking?

Short answer

Jesse's ranking is at${80}^{th}$percentile.

Step-by-step solution

Content Introduction

The formula for calculating percentile is:

$\frac{x+0.5y}{n}\left(100\right)$

Here,

x is number of data values counting from the bottom of the data

y is number of data values which are same

n is total number of data values.

Content Explanation

The rank $37$was only given to Jesse, it means that $x=143,y=1$

$$\begin{gathered} =\frac{143+0.5\left(1\right)}{180}\left(100\right) \\ =80 \end{gathered}$$