Question 1

What is a Normal Distribution?

Accepted Answer

The normal (Gaussian) distribution is the most important probability distribution in statistics — bell-shaped, symmetric around the mean. The central limit theorem ensures many real phenomena approach normality with large samples.

Question 2

How does the Normal Distribution work?

Accepted Answer

PDF: f(x) = (1/σ√2π) × e^(−(x−μ)²/2σ²) Then: 68-95-99.7 rule: 68% within 1σ, 95.4% within 2σ, 99.7% within 3σ Then: CDF gives P(X ≤ x) — area under the curve to the left of x.

Question 3

Can you give an example of how to use the Normal Distribution?

Accepted Answer

Example: Input μ=100, σ=15 (IQ) · x=130 gives a result of z=2.0 · P(IQ<130) = 97.7% · Top 2.3% (130 is 2 standard deviations above mean).

Question 4

Is the Normal Distribution free to use?

Accepted Answer

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

Question 5

How accurate is the Normal Distribution?

Accepted Answer

Our Normal Distribution uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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