From a sample of n observations, the arithmetic mean and variance are calculated. It is then found that one of the values, x₁, is in error and should be replaced by x₁'. Show that the adjustment to the variance to correct this error is : 1/(x₁ - x₁ ) ( x1² + x1 - 2 1 - 1 + 2T), X1' n n where T is the total of the original results.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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From a sample of n observations, the arithmetic mean and variance are calculated. It is then
found that one of the values, x₁, is in error and should be replaced by x₁'. Show that the adjustment to the
variance to correct this error is :
+2T
'-
(x₁ - x1)(x1 + x1 - 31²-31 + 27
X1 X1
n
where T is the total of the original results.
Transcribed Image Text:From a sample of n observations, the arithmetic mean and variance are calculated. It is then found that one of the values, x₁, is in error and should be replaced by x₁'. Show that the adjustment to the variance to correct this error is : +2T '- (x₁ - x1)(x1 + x1 - 31²-31 + 27 X1 X1 n where T is the total of the original results.
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