Question

The mean of n observations is x bar.If the first observation is increased by 1,then the second by 2 and so on,the new mean is________.​

Answer 1

Answer:

X+(n+1)/2

Step-by-step explanation:

as mean let us consider each observation is x

after every observations are increased, their sum will be nx+1+2+3+4+5+6+....…………n

that can be written as nx+sum of first n natural numbers

sum of observations =nx+n(n+1)/2

then their mean=(nx+ n(n+1)/2)/n

if we simplify the above mean=x+n+1/2

the correct answer is X+(n+1)/2