1) Gotta be careful with this E thing. MAD = E |xi-xbar|/n is not right. It’s either MAD = E |xi-xbar| or MAD = Sum |xi-xbar|/n
2) The only thing I can think of for the harmonic mean in finance is te dollar-cost averaging average share price. If you buy $1000 worth of stock every month at 3, 4, 5, 6 then your average price per share is the harmonic mean of 3,..,6