Q. If ˉx is the arithmetic mean of n observations x1, x2, x3, .......xn, then find the value of (x1-x)+(x2-ˉx)+..............(xn-x).
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Step-by-step explanation:
As x is aritmetic mean...
x = (x1+x2+........xn)/n
=> x1+x2+........xn = x*n
given (x1-x)+(x2-x)+........+(xn-x)
.=> (x1+x2+.....+xn) - (x+x+x+......n times)
=> ( nx)-(nx)
. = 0......
Hope it will help....☺
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