Statistical analysis :
To separate as far as possible the truth from error by narrowing and define the region of doubt.
To make statistical methods and interpretations meaningful, a large number of measurements is usually required.
If ordinates created at deviations of ±r=0.6745σ, half area under the curve is enclosed between these limits. The quantity r is called probable error.
case 1 : Probable error of one reading : r = 0.6745σ
case 2 : Probable error of mean : rm = r/√(n-1)
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1.11 Limiting Error