Calculate percentile rank
I am confused with the concept of percentile rank. I am in the top 7 of my class, how would I calculate my percentile rank?
Number of students 72 I am 7th rank in my class
Does this mean my percentile rank is 7?
$\endgroup$2 Answers
$\begingroup$You are in the top $\frac7{72}\times100\% \approx 10\%$ of your class. Since percentile rank is usually expressed in terms of "how many percent are worse or equal to the score in questions", that means your percentile rank is $90$.
$\endgroup$ 3 $\begingroup$The $7^{th}$ best rank is the $\color{blue}{66}^{th}$ data item in the ordered $72$ scores.
So, this is the $\color{blue}{91^{st}}$ percentile as $\left \lceil 72\cdot \frac{\color{blue}{91}}{100} \right \rceil = \color{blue}{66}$.
Note, that it is not the $92^{th}$ percentile as $72\cdot \frac{92}{100} > 66$.
$\endgroup$ 8
