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?
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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
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