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What is the arithmetic mean of first 16 natural number with weights being the number itself? What is the arithmetic mean of first 16 natural number with weights being the number itself?
The sum of first n natural numbers is given by the formula, Sn=n(n+1)2Put n=16 to get the sum of first 16 natural numbers. S16=16 (16+1)2 =16×172 =8×17 =136The required arithmetic mean is given by, mean=sum of obervationsnumber of observations =13616 =8.5
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