1. If 1, 2, … , are values in a variable such that ∑ ( − 2) = 110
=1
and ∑ ( − 5)
=1
= 20.
Find the value of and its mean.
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Answer : value of n is 30 and Mean is 17/3
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( Please refer to attachment )
Questions might arrise in your mind -
Q. Why 110 = ∑ - 2n?
Ans. In ( x1 - 2 ) + ( x2 - 2 ) +.....+ ( xn - 2 ), there was 2 subtracted from each term.
Since there are n number of terms so - 2n is subtracted from Summation ( S ) or ∑
Q. What is Bar(X)?
Ans. Bar(X) is symbol of mean. Formula of Mean is,
Bar(X) = (1/n) ∑
Q. What ∑ stands for?
Ans. ∑ means Sigma used as symbol of Summation (S) to denote sum of n number of terms.
∑ = x1 + x2 +..... + xn
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