National Physical Laboratory

Analysis of uncertainty - spreadsheet model

It is useful to summarise the uncertainty analysis in a spreadsheet.

Spreadsheet model showing the ‘uncertainty analysis’

Source of uncertainty

Value ±

Probability distribution

Divisor

Standard Uncertainty

Calibration uncertainty

5.0 mm

Normal

2

2.5 mm

Resolution (size of divisions)

0.5 mm*

Rectangular

√3

0.3 mm

String not lying perfectly straight

10.0 mm*

Rectantular

√3

5.8 mm

Standard uncertainty of mean of 10 repeated readings

0.7 mm

Normal

1

0.7 mm

Combined standard uncertainty

Assumed normal

6.4 mm

Expanded uncertainty

Assumed normal (k=2)

12.8 mm

* Here the (±) half-width (a) divided by square root of 3 is used.


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