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공유 링크

소개

Uniform Distribution Calculator — Compute PDF, mean, and variance of a uniform distribution. Enter Lower bound (a), Upper bound (b) to get an instant, accurate result.

공식

Continuous uniform distribution on [a,b]: PDF = 1/(b−a) for any x in the interval, mean = (a+b)/2, variance = (b−a)²/12.

단계별 안내

Enter the Lower bound (a).
Enter the Upper bound (b).
Click Calculate to see your result instantly.

실제 예시

Example: With Lower bound (a) = 0, Upper bound (b) = 10, the Uniform Distribution Calculator gives Pdf: 0.1, Mean: 5, Variance: 8.3333.

자주 묻는 질문

What does "uniform" mean here?

Every value within [a,b] is equally likely to occur — the probability density is constant across the whole interval.

Why is the PDF the same everywhere in the interval?

Because the total probability (area under the curve) must equal 1 over a fixed-width interval, so the height is forced to be a constant 1/(b−a).

What inputs does the Uniform Distribution Calculator need?

You'll need to provide: Lower bound (a), Upper bound (b). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.

How accurate is the Uniform Distribution Calculator?

The Uniform Distribution Calculator applies the formula exactly as calculated — Continuous uniform distribution on [a,b]: PDF = 1/(b−a) for any x in the interval, mean = (a+b)/2, variance = (b−a)²/12. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.

Is the Uniform Distribution Calculator free to use?

Yes, the Uniform Distribution Calculator is completely free, requires no signup, and runs instantly in your browser.