Question

The mean of n terms is x. If first term is increased by 1, second term by 2 and so on ,then find the new mean

Answer 1

Mean of n observations is x.
Sum of n observations is nx.
Each of the observations is increased by 2, 4, 6, 8,........, 2n respectively.
Sum of the increased numbers = ∑2n
= 2[n(n+1) / 2]
= n(n+1)

Sum of all the observations = nx + n(n+1)
= n[x + (n+1)]
New mean of observations = n[x + (n+1)] / n
= x + (n+1)

Answer 2

Answer:

Step-by-step explanation:

n x n plus one by 2 gives 11x6 = 66. So the new mean ix x bar plus 66