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Error : The Normal Distribution and The Uniform Distribution

Error : The Normal Distribution and The Uniform DistributionChristopher Evan A1306396246ErrorError is defined as the difference between the measured value and the true value of the measurand

Where :E is the measurement error(measured) is the value obtained by a measurement(true) is the true value of the measurand

The normal distributionUntuk mengukur, hanya dimungkinkan dengan mengambil suatu limit dari error yang ada.Cara yang paling umum untuk memperkirakaan limit tersebut dengan menggunakan Distribusi Normal

Where :X is the input variable, here the value obtained by a measurement is the average of the population of the X variable is the standard deviation of the population

THE NORMAL DISTRIBUTIONStandar deviasi

whereXi is the ith X measurementN is the number of data points measured from the population

The normal distribution N, , and are not knownFor an infinite population (N = ), the standard deviation, , would be used to estimate the expected limits of a particular error with some confidence. Untuk jumlah data yang besar >30 derajat kebebasan

The normal distributionWhere :SX is the standard deviation of the average, the sample standard deviation of the data divided by thesquare root of MSX is the sample standard deviationX is the sample average, that is,

Where :Xi is the ith data point used to calculate the sample standard deviation and the average, X, from the dataN is the number of data points used to calculate the standard deviation(N 1) is the degrees of freedom of SX and SXM is the number of data points in the reported average test result

The uniform distributionDalam beberapa kasus, kesalahan pada pengukuran bisa juga diasumsikan oleh uniform distribution atau rectangular distribution menggantikan normal distribution.Dengan standar deviasi yang digunakan adalah :

where L is the plus/minus limits of the uniform distribution for a particular error.

The uniform distributionDan untuk kasus yang menggunakan ini, standar deviasi rata-rata dituliskan sebagai :


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