Question

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mean of n observation is x.if first term increased by1 and second by 2 so on... what be the new mean

Answer 1

the answer is (2x+n+1)/2

Answer 2

Answer:

$\frac{2x+n+1}{2}$

Step-by-step explanation:

Mean = x

Sum = mean × n

⇒ Sum = xn

first term is increased by 1 .

second term by 2 .

Sum of all observation

xn is the original sum .

1 + 2 + 3 + ... n is getting added .

⇒ 1 + n + ( n +1 + 2 ) + .... n/2 times

⇒ n ( n + 1 )/2

Hence the sum becomes xn + n ( n + 1 )/2

Mean = sum/n

⇒ [ xn + ( n + 1) ]/2 n

⇒ ( 2x + n + 1 ) / 2