Statistics

Quartile Formula - Statistics

Learn the quartile formula with examples, step-by-step guide, and calculator tools. Divide a dataset into four equal parts

The quartile formula is a fundamental concept in statistics. Divide a dataset into four equal parts. This page provides a comprehensive guide with worked examples and practical applications.

The Formula

\[Q_i = \text{value at position } \frac{i(n+1)}{4}\]

Variables

Qᵢ
Quartile (Q1, Q2, Q3)
i
Quartile number (1, 2, or 3)
n
Number of values

Step-by-Step Guide

  1. 1

    Step 1: Gather your data values

  2. 2

    Step 2: Apply the formula

  3. 3

    Step 3: Perform the calculations

  4. 4

    Step 4: Interpret the result

Examples

Example 1

Example 1: [2,5,8,10,12,15,18,20] → Q1 = value at position 2.25, Q2 = 11, Q3 = value at position 6.75

Example 2

Example 2: Q1=6.5, Q2=11, Q3=16.5

Frequently Asked Questions

What is the quartile formula?

Divide a dataset into four equal parts

How do I calculate quartile formula?

Use the formula: Q_i = \text{value at position } \frac{i(n+1)}{4}. Follow the steps provided above.

What tools can help with quartile formula?

We provide online calculators: quartile-calculator, percentile-calculator

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