Statistics

Quartile Calculator

Quartiles and IQR. Free online Quartile Calculator. Calculate quartile online — fast, accurate, mobile-friendly, no signup needed.

Q1
3
Q3
11

Derivation

  1. ├── 01Givenlist = 1, 3, 5, 7, 9, 11, 13
  2. ├── 02FormulaQ1: a[floor(a.length / 4)]
  3. ├── 03Compute Q13
  4. ├── 04FormulaQ3: a[floor(3 × a.length / 4)]
  5. └── 05Compute Q311
Did you know?

Every calculator here runs 100% in your browser — nothing is sent to a server or stored in a database.

§01What is

Understanding the Quartile Calculator

The Quartile Calculator computes Q1 from 1 input: data. Quartiles and IQR.

Statistics is how we make sense of noisy real-world data. Whether you’re analysing survey results, sports scores, or business metrics, a statistics calculator gives you the exact formula-based answer so you can focus on the interpretation. The Quartile Calculator sits in that toolkit — it quartiles and IQR. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02The Formula

How it’s calculated

Q1 = a[floor(a.length / 4)] | Q3 = a[floor(3 × a.length / 4)]

Where

list
Data
Q1
Output value
Q3
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Data = 1, 3, 5, 7, 9, 11, 13.

  1. 01Start by noting the input — Data: 1, 3, 5, 7, 9, 11, 13.
  2. 02Substitute these values into the formula: Q1 = a[floor(a.length / 4)] | Q3 = a[floor(3 × a.length / 4)]
  3. 03Compute Q1: the calculator returns 3.
  4. 04Compute Q3: the calculator returns 11.
  5. 05Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.
§04FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
Your feedback

How useful was this calculator?

Your ratings stay in your browser — they help us learn which tools people actually rely on.

Rate it
Was this helpful?