Probability interval from measured data

Mean, standard deviation and a probability (tolerance) interval derived from up to 10 measured data points.

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Probability interval from measured data — original diagram from /calculators/c1_1.htm

x₁x₂x₃x₄x₅x₆x₇x₈x₉x₁₀Number of entries, nProbability interval, R%

Mean, μ0.13

Standard deviation, σ0.0158113883008419

z-value1.6445

x-min0.10399829300446552

x-max0.1560017069955345

Method & references

Probability (tolerance) interval derived from measured sample data, via the inverse standard normal distribution.

The computation is a literal port of the original client-side JavaScript from /calculators/c1_1.htm. Results are verified equal to the original by an automated golden-master test. No formula has been re-derived or “improved”.

Probability interval from measured data — Engineering ABC