• Skip to secondary menu
  • Skip to main content
  • Skip to primary sidebar
  • My Store
  • Glossary
  • Home
  • About Me
  • Contact Me

Statistics By Jim

Making statistics intuitive

  • Graphs
  • Basics
  • Hypothesis Testing
  • Regression
  • ANOVA
  • Probability
  • Time Series
  • Fun
  • Calculators

Percentile Calculator

By Jim Frost Leave a Comment

Use this percentile calculator to find a specific percentile in your dataset and its quartiles. It also displays a table with the 10th, 25th, 50th, 75th, and 90th percentiles so you can gauge your data’s distribution at a glance.

Enter or paste a list of values and specify the desired percentile. The Percentile Calculator sorts your data set and computes precise percentile and quartile values. Click Calculate to see the result. Below this calculator is more information about percentiles and the method it uses to find the values. See all my Statistical Calculators!

Percentile Calculator
Percentile Calculator
Answer:

For more in-depth information, read my article, Percentiles: Interpretations & Calculations.

How the Percentile Calculator Finds the Values

The percentile calculator starts by arranging all your values from smallest to largest. Then it locates the position that matches the percent you want. That position shows where your percentile falls in the list.

If it lands exactly on one of your values, the percentile calculator uses that value. If it falls between two values in your dataset, the percentile calculator interpolates a value between the two closest values. This method ensures a smooth, linear interpolation between adjacent data values.

In more technical terms, the percentile calculator uses the following process:

  1. Arranges n data points in ascending order: x1, x2, …, xn.
  2. Computes the index: idx = (p / 100) × (n – 1)
  3. Let k be the integer part of idx, and let d = idx – k.
  4. If d is 0, then the pth percentile is the value at position k+1.
  5. If d is not 0, then the pth percentile is interpolated between the two surrounding values: Percentile = x[k+1] + d * (x[k+2] – x[k+1]).

Share this:

  • Tweet
  • Like this:

    Like Loading…

    Related

Filed Under: Calculators

Reader Interactions

Comments and QuestionsCancel reply

Primary Sidebar

Meet Jim

I’ll help you intuitively understand statistics by focusing on concepts and using plain English so you can concentrate on understanding your results.

Read More...

Buy My Introduction to Statistics Book!

Cover of my Introduction to Statistics: An Intuitive Guide ebook.

Buy My Hypothesis Testing Book!

Cover image of my Hypothesis Testing: An Intuitive Guide ebook.

Buy My Regression Book!

Cover for my ebook, Regression Analysis: An Intuitive Guide for Using and Interpreting Linear Models.

Subscribe by Email

Enter your email address to receive notifications of new posts by email.

    I won't send you spam. Unsubscribe at any time.

    Buy My Thinking Analytically Book!

    Cover for my book, Thinking Analytically: An Guide for Making Data-Driven Decisions.

    Top Posts

    • F-table
    • Cronbach’s Alpha: Definition, Calculations & Example
    • Z-table
    • How To Interpret R-squared in Regression Analysis
    • Accuracy vs Precision: Differences & Examples
    • Box Plot Explained with Examples
    • Interpreting Correlation Coefficients
    • How to Interpret P-values and Coefficients in Regression Analysis
    • Multicollinearity in Regression Analysis: Problems, Detection, and Solutions
    • T-Distribution Table of Critical Values

    Recent Posts

    • Data Collection Methods: Step-By-Step Guide with Examples
    • ANOVA Calculator
    • Positive Predictive Value: Meaning, Formula, and Interpretation
    • Median Absolute Deviation Calculator
    • Median Absolute Deviation: Definition, Finding & Formula
    • Outlier Calculator

    Recent Comments

    • Skata na fas on Comparing Regression Lines with Hypothesis Tests
    • Jim Frost on Comparing Regression Lines with Hypothesis Tests
    • Skata na fas on Comparing Regression Lines with Hypothesis Tests
    • Skata na fas on Comparing Regression Lines with Hypothesis Tests
    • Jim Frost on Pareto Chart: Making, Reading & Examples

    Copyright © 2026 · Jim Frost · Privacy Policy

    %d