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Statistics

Descriptive Statistics

Full summary stats. Free online Descriptive Statistics. Calculate descriptive statistics online — fast, accurate, mobile-friendly, no signup needed.

Mean
18
Min
4
Max
42
Count
6

Derivation

  1. ├── 01Givenlist = 4, 8, 15, 16, 23, 42
  2. ├── 02FormulaMean: a.reduce((e,t)=>e+t,0) / a.length
  3. ├── 03Compute Mean18
  4. ├── 04FormulaMin: min(...String(t).split(",").map(Number).filter(e=>!isNaN(e)))
  5. ├── 05Compute Min4
  6. ├── 06FormulaMax: max(...String(t).split(",").map(Number).filter(e=>!isNaN(e)))
  7. ├── 07Compute Max42
  8. ├── 08FormulaCount: String(t).split(",").map(Number).filter(e=>!isNaN(e)).length
  9. └── 09Compute Count6
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 Descriptive Statistics

The Descriptive Statistics computes Mean from 1 input: data. Full summary stats.

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 Descriptive Statistics sits in that toolkit — it full summary stats. 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 | Min = min(...String(t).split(",").map(Number).filter(e=>!isNaN(e))) | Max = max(...String(t).split(",").map(Number).filter(e=>!isNaN(e))) | Count = String(t).split(",").map(Number).filter(e=>!isNaN(e)).length

Where

list
Data
Mean
Output value
Min
Output value
Max
Output value
Count
Output value
§03Practical Example

Step-by-step walkthrough

Scenario

Apply the formula to a realistic set of inputs: Data = 4, 8, 15, 16, 23, 42.

  1. 01Start by noting the input — Data: 4, 8, 15, 16, 23, 42.
  2. 02Substitute these values into the formula: Mean = a.reduce((e,t)=>e+t,0) / a.length | Min = min(...String(t).split(",").map(Number).filter(e=>!isNaN(e))) | Max = max(...St…
  3. 03Compute Mean: the calculator returns 18.
  4. 04Compute Min: the calculator returns 4.
  5. 05Compute Max: the calculator returns 42.
  6. 06Compute Count: the calculator returns 6.
  7. 07Cross-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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