The algebraic sum of the deviations of a set of values x₁ , x₂, x₃, x_n measured from 100 is -20 and the algebriac sum of the deviations of the same set of values measured from 92 is 140 . If the algebraic sum of the deviations of the same set of values measured from y is 180 , then what is the value of y ?

Step-by-step solution

Here, ( x ₁-100 )+ ( x ₂-100 )+ . .+ ( x _ n -100 )=-20 hence (x₁+x₂+x₃+ . . x_n )-100 x=-20 Or x ₁+ x ₂+ x ₃+ x _ n =100 n -20 and accoding to question for same set x ₁+ x ₂+ x ₃+ . . x _ n =92 n +140 Acc to question aligned & ( x ₁+ x ₂+ x ₃+ . x _ n )-20 y =180 & 1980-20 y =180 & or 20 y =1800 y =90 aligned