If x^{-} is the mean of distribution of X, then usual R notation \sum^{n}_{i=1} f_i (x_i-x^{-}) is i =

NIMCET 2017 Question Paper with solutions

Question : 77 of 120

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x↖{-}

is the mean of distribution of X, then usual R notation

Σ↖{n}↙{i=1} f_i (x_i-x↖{-})

is i =

Solution:

By property of arithmetic mean, the algebraic sum of all the deviation taken about the arithmetic mean is always zero.
∴

Σ↖{n}↙{i=1}

f_i (x_1-x↖{-})

= 0

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