Question

Mean of'n observations is.x. If each of these n obser
vations is increased by 2, 4, 6, 8, ..... , respectively,
then which of the following is the new mean?​

Answer 1

Answer:

x+n+1 hope it's help to you:)

Step-by-step explanation:

Given that the mean of n observations is x,

sum of x observations S(x) / number of observations (n) = x

S(x)/n = x

S(x) = nx

sum of new observations = S(x) +2 +4 +6

+ + n

= nx + n/2 (2a+ (n-1)d)

= nx + n/2 (4 + (n-1)2)

= nx + n/2 (2 + 2n)

= nx + n(n+1)

= n(x+n+1) =

New mean = sum of new observations/ number of observations

= n(x+n+1)/n

= x+n+1