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Standard deviation question ...

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Edit: That was a square in both CharMap.exe and in the post preview. 🙁

How's this?
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Edit 2: That sucks. 🙁
 
Actually. I made a mistake. That should be
VAR(3 weeks sales)=VAR(wk 1+wk 2+wk 3)=VAR(wk 1)+VAR(wk 2)+VAR(wk 3)+2*COVARIANCE(wk1, wk2)+2*COVARIANCE(wk1, wk3)+ 2*COVARIANCE(wk2, wk3)


Assuming sales of week 1, 2 and 3 are independent, then it = VAR(wk1)+VAR(wk1)+VAR(wk1)=12 since COVARIANCE of any 2 independent variables=0. (TuxDave is correct under independence assumption)

In reality, the sales in three consecutive weeks are usually not independent. Factors like promotions, time of year, will make the 3 consecutive weeks behave similar in sales. If dependence is assumed, then the VAR can be as large as 36.

To sum up, the variance of the sales of a 3 week period = from 12 (if independence from week to week) to 36 (if total dependence among the 3 weeks).
 
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