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How to Calculate Percentile

What is Percentile?

A percentile indicates the relative position of a value within a dataset. If you score at the 80th percentile, it means 80% of scores fall below yours. Percentiles are used extensively in education (standardised test scores), health (growth charts), and statistics.

Formula

To find the value at a percentile p: L = (p/100) × n, then interpolate
To
(p/100) × n — (p/100) × n
L
(p/100) × n — (p/100) × n

Step-by-Step Guide

  1. 1Sort the dataset in ascending order
  2. 2Rank of a value: ((number of values below it + 0.5) / total values) × 100
  3. 3To find the value at a percentile p: L = (p/100) × n, then interpolate

Worked Examples

Input
Score 720 in a group where 1,200 of 1,500 scored below
Result
80th percentile
(1,200/1,500) × 100 = 80%
Input
90th percentile of dataset [10,20,30,40,50,60,70,80,90,100]
Result
91
Index = 0.9 × 10 = 9, interpolate between 90 and 100

Frequently Asked Questions

What is Percentile Indicates The Relative Position Of A Value Within A Dataset?

A percentile indicates the relative position of a value within a dataset. If you score at the 80th percentile, it means 80% of scores fall below yours

How accurate is the Percentile Indicates The Relative Position Of A Value Within A Dataset calculator?

The calculator uses the standard published formula for percentile indicates the relative position of a value within a dataset. Results are accurate to the precision of the inputs you provide. For financial, medical, or legal decisions, always verify with a qualified professional.

What units does the Percentile Indicates The Relative Position Of A Value Within A Dataset calculator use?

This calculator works with inches, percentages. You can enter values in the units shown — the calculator handles all conversions internally.

What formula does the Percentile Indicates The Relative Position Of A Value Within A Dataset calculator use?

The core formula is: To find the value at a percentile p: L = (p/100) × n, then interpolate. Each step in the calculation is shown so you can verify the result manually.

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