10th Percentile Calculator

Calculate the 10th percentile of a dataset to determine the value below which 10% of the observations may be found.

Input Parameters

Calculation Results

Calculation Formula

P₁₀ = (n + 1) × 0.1

Where:
n = number of data points
P₁₀ = position of the 10th percentile

Input Data

5, 12, 8, 23, 17, 9, 14, 6, 19, 21, 11, 16

Sorted Data

6, 8, 9, 11, 12, 14, 17, 19, 21, 23

Calculation Result

10th Percentile: 11.00

10th Percentile Calculator Calculator Usage Guide

Learn how to use the 10th Percentile Calculator and understand its applications

What is a 10th Percentile?

The 10th percentile (P₁₀) is a measure used in statistics indicating the value below which 10% of the observations in a dataset fall. In other words, 90% of the data points are greater than or equal to the 10th percentile.

How to Use This Calculator

  1. Enter your data values in the text area, separated by commas. Each value should be a number.
  2. Adjust the decimal precision as needed (default is 2 decimal places).
  3. Click the "Calculate" button to compute the 10th percentile.
  4. The results will show your original data, the sorted data, and the calculated 10th percentile value.

Applications of 10th Percentiles

10th percentiles are commonly used in:

  • Education to identify students performing at the 10th percentile or below
  • Quality control to set minimum performance standards
  • Finance to assess risk and return
  • Weather forecasting to determine extreme events

Example

Consider the following test scores: 5, 12, 8, 23, 17, 9, 14, 6, 19, 21, 11, 16. The 10th percentile of these scores is 11.00, meaning that 10% of the students scored 11 or lower, while 90% scored 11 or higher.