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Use raw and shifted summaries for unbiased estimates

Find unbiased estimates of the population mean and variance from each sample.

(a) ∑x=15508\sum x=15508, ∑x2=2413891\sum x^2=2413891, n=100n=100.

(b) ∑(t−36.9)=−12\sum(t-36.9)=-12, ∑(t−36.9)2=79.21\sum(t-36.9)^2=79.21, n=40n=40.

CJC · Discussion · Question 2

Recover the shifted mean by adding 36.9; the variance itself is unchanged by the shift.

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