Percentile Calculator

Percentile Calculator calculator can be used to determine the value below which a given percentage of observations in a dataset fall.

Input Parameters

Calculation Results

Calculation Result

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The value below which 50% of observations in the dataset fall.

Calculation Formula

Px = ((n-1) × p/100) + 1

Where:
Px = Position of the percentile
n = Number of data points
p = Percentile value
Note: For discrete data, interpolation may be needed if the position is not an integer.

Percentile Calculator Calculator Usage Guide

Learn how to use the Percentile Calculator calculator and its working principles

How to Use the Percentile Calculator

  1. Enter your data points in the "Enter Data Points" field, separated by commas. For example: 5, 10, 15, 20, 25
  2. Specify the percentile you want to calculate (between 0 and 100). For example, enter 50 for the 50th percentile (median).
  3. Click the "Calculate" button to compute the percentile.
  4. The result will show the value below which the specified percentage of your data falls.

Understanding Percentiles

A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a dataset fall. For example:

  • 25th percentile: Value below which 25% of the data falls (first quartile)
  • 50th percentile: Value below which 50% of the data falls (median)
  • 75th percentile: Value below which 75% of the data falls (third quartile)

Examples of Use

Percentiles are commonly used to:

  • Understand the distribution of scores in tests or assessments
  • Compare different groups of data
  • Determine statistical significance in research
  • Identify outliers in a dataset

Important Notes

• The calculator assumes your data points are numeric and entered in ascending order. If they're not sorted, you may need to sort them first.

• For discrete data, if the percentile position calculation results in an integer position, the value at that position is returned.

• For continuous data or when interpolation is needed, the calculator estimates the percentile by interpolating between the nearest data points.