Plz help me with that question, I am a little bit confused! thanks very much!! 2

Question

Plz help me with that question, I am a little bit confused! thanks very much!!

2 ERROR PROPAGATION. The coefficient of variation of an uncertain measurement is defined as the standard deviation divided by the mean, = standard deviation ÷ me an = s /m. if we let z-s/m be the coefficient of variation, and m and s be the mean and standard deviation, respectively This is sometimes called, the proportional error: We know from the lectures that if z , then the squared coefficient of variation of z equals the sum of the squared coefficients of variation of r and y. In words, this says that proportional errors in a product propagate as the sum of their squares. My friend Bubba argues that since x2 -xx, the proportional error in x2 must be, 2

Explanation / Answer

Lou ann is correct, as her calculations are all correct,

The problem with Bubba's calculation is he doesn't take the dependence into account,

the error propagation of z= xy only holds if x,y are uncorrelated- but as x,x are cleasrly not uncorrelated that formula is not applicable here  

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