Statistics

Statistics Calculator

All-in-one statistics calculator. Free online Statistics Calculator. Calculate statistics online — fast, accurate, mobile-friendly, no signup needed.

Mean
10
Range
10

Derivation

  1. ├── 01Givenlist = 5, 7, 9, 11, 13, 15
  2. ├── 02FormulaMean: a.reduce((e,t)=>e+t,0) / a.length
  3. ├── 03Compute Mean10
  4. ├── 04FormulaRange: max(...a)-min(...a)
  5. └── 05Compute Range10
Did you know?

The arithmetic mean goes back to Babylon; the median was formalised by Gustav Fechner (1874); "mode" was coined by Karl Pearson in 1895.

§01What is

Understanding the Statistics Calculator

The Statistics Calculator computes Mean from 1 input: data. All-in-one statistics calculator.

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 Statistics Calculator sits in that toolkit — it all-in-one statistics calculator. 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

Mean = a.reduce((e,t)=>e+t,0) / a.length | Range = max(...a)-min(...a)

Where

list
Data
Mean
Output value
Range
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Data = 5, 7, 9, 11, 13, 15.

  1. 01Start by noting the input — Data: 5, 7, 9, 11, 13, 15.
  2. 02Substitute these values into the formula: Mean = a.reduce((e,t)=>e+t,0) / a.length | Range = max(...a)-min(...a)
  3. 03Compute Mean: the calculator returns 10.
  4. 04Compute Range: the calculator returns 10.
  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.
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