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Eccentricity of the Sextant by Frederic Furbish, 1893

Eccentricity of the Sextant by Frederic Furbish, 1893, Page 100

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series, which we designate by ([r? or s?]) and the probable error of the mean ([r? or s?]').

     The number of unknown quantities involved is represented by (μ) and the number of observations used by (n). In this case only one unknown is involved and we use ten observations so μ = 1 and n = 10 .

     Peter's formula for probable error is ;- [r? or s?] (probable error of a single observation of a series) = +- 0.845 (([+v])/(square root of (10(10-1)))) = +- 0.845 (([42.67? or 4267])/(square root of 90)) = +- 3.8025".

     The probable error of the mean = r' = ((r)/(square root of n)) = +- ((38025)/(square root of 10)) = +- 1.202".

     The probable error is simply a measure of the quality of an observation or series of observations. The smaller the probable error the better the observation. It is the means by which we give the

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[page][illegible][/page] series, which we designate by ([r? or s?]) and the probable error of the mean ([r? or s?]'). The number of unknown quantities involved is represented by (μ) and the number of observations used by (n). In this case only one unknown is involved and we use ten observations so μ = 1 and n = 10 . Peter's formula for probable error is ;- [r? or s?] (probable error of a single observation of a series) = +- 0.845 (([+v])/(square root of (10(10-1)))) = +- 0.845 (([42.67? or 4267])/(square root of 90)) = +- 3.8025". The probable error of the mean = r' = ((r)/(square root of n)) = +- ((38025)/(square root of 10)) = +- 1.202". The probable error is simply a measure of the quality of an observation or series of observations. The smaller the probable error the better the observation. It is the means by which we give the