Percentile calculator

If you want to determine a person's performance compared to other persons, you can use our percentile calculator.

In statistics, the percentile, also known as centile, is used to present the value below a percentage listed from the total amount of observations falls. In other words, the percentile is used to determine the person's performance compared to others. In mathematical form, it is defined as the proportion of the below 'x' values to the cumulative number of values.

 

Formula of Percentile Calculator

To instantly find out the percentile of an object, you can jump to our calculator. Or to find it manually, you can use the formula listed below:

\[percentile\; = \;\frac{{Values\;below\;''x''}}{{Total\;Number\;of\;Values}}\;×\;100\]

Where,

F = Impact Force

m = Mass of an object

v = Velocity of an objects

t = Time taken by an object to collide with each other

Example

For a more precise understanding of the concept, let us solve an example below;

Suppose if the following score marked by the students in the physics test is 45, 53, 49, 40, 71, 61, 65, 79, 91, and 85. Then find out the percentile for score 71?

Given data

Number of scores below 71 = 6
Total number of scores = 10

To Find

Percentile = ?

Solution

To find out the percentile, we will use the formula listed below:

\[percentile\; = \;\frac{{Values\;below\;''x''}}{{Total\;Number\;of\;Values}}\;×\;100\]

Putting values in the formula:

\[percentile\; = \;\frac{{6}}{{10}}\;×\;100=60\]

Note:

If you want to add percentages, you can use our Adding Percentage Calculator.

How to use the Percentile Calculator?

The steps to use the percentile calculator are as follows:

Step 1: Enter the values below "x" in the first required input.

Step 2: Enter the total number of values in the second required input.

Step 3: The calculator will automatically display an answer on the screen.

Calculator use

You can use our percentiles calculator for various principles: finding health indicators, test scores, and other measurements.