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# Percentile Calculator

Percentile Calculator is an online tool that helps to determine the percentile of a particular value in a given data set. The value below which a certain percentage of data falls is known as the percentile.

## What is Percentile Calculator?

Percentile Calculator helps you to determine the percentage of scores that fall below a particular value in the given data set. Percentiles are used to draw comparisons between a selected score and the scores of the group. To use this **percentile calculator**, enter the values in the input boxes.

### Percentile Calculator

## How to Use Percentile Calculator?

Please follow the given steps to determine the percentile of a selected value using the online percentile calculator:

**Step 1:**Go to Cuemath's online percentile calculator.**Step 2:**Enter the required data in the given input boxes.**Step 3:**Click on the**"Calculate"**button to find the percentile of the selected value.**Step 4:**Click on the**"Reset"**button to clear the fields and enter new values.

## How Does Percentile Calculator Work?

The concept of percentages should not be confused with that of percentiles. Percentage is a value that is used to represent a quantity out of 100. However, percentile is a value is that used to show the percentage of values that lie below a specific value. The steps to calculate the percentile are given below:

**Step 1:**Arrange the given data set in ascending or increasing order.**Step 2:**Choose a value whose percentile needs to be determined. Let this value be represented by x.**Step 3:**Count the number of values that are lesser than the chosen value x. Let this count be represented by y.**Step 4:**Count the total number of values in the given data set. Let this be z.**Step 5:**Now divide y by z.**Step 6:**To find the percentile multiply y / z by 100.

Thus, the formula for calculating the percentile of a given number, x, is as follows:

Percentile = (Number of Values Below x / Total Number of Values) × 100

## Solved Examples on Percentile Calculator

**Example 1:**

The marks of students of a class are (45, 98, 33, 57, 63, 82, 77, 72, 77, 12). Find the percentile of the student with 77 marks and verify it using the online percentile calculator.

**Solution:**

Arranging the given data in ascending order we get (12, 33, 45, 57, 63, 72, 77, 77, 82, 98).

Number of values below 77 = 6.

Total number of values = 10

Percentile = (6 / 10) × 100

= 60%

**Example 2:**

The weights of people (in kgs) are (43.2, 55.6, 77.3, 68.8, 45.1, 60.9, 49.5, 58.1, 70.3, 86.6). Find the percentile of a person who weighs 70.3 Kgs and verify it using the online percentile calculator.

**Solution:**

Arranging the given data in ascending order we get (43.2, 45.1, 49.5, 55.6, 58.1, 60.9, 68.8, 70.3, 77.3, 86.6).

Number of values below 70.3 = 7

Total number of values = 10

Percentile = (7 / 10) × 100

= 70%

Now, try the percentile calculator to find the percentile value for the following data.

- Find the percentile for 34, if the data is (27, 33, 34, 45, 33, 26, 37, 23, 38, 40).
- Find the percentile for 99, for the data points (81.2, 97.7, 93.2, 100, 101.5, 83, 81.6, 102, 99.9, 99)

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