if the first five elements of the set x1,x2 - Maths - Statistics

Question

if the first five elements of the set x1,x2
x10 are replaced by xi+5, i=1,2,3,4,5 and
next five elements are replaced by x​j-5, j=
6,7,8, 10 then the mean will change by

Narendra Kalra · Accepted Answer

NIL, NO Change

Rationale: sum of observation is not changed

First replacement increases by 25 and second decreases by 25, net
effect Nil and of course no change in number of observations
also

Cheers

if the first five elements of the set x1,x2 .............x10 are replaced by xi+5, i=1,2,3,4,5 and next five elements are replaced by x​j-5, j= 6,7,8,...........10 then the mean will change by

if the first five elements of the set x₁,x₂ .............x₁₀ are replaced by x_i+5, i=1,2,3,4,5 and next five elements are replaced by x_j-5, j= 6,7,8,...........10 then the mean will change by