The mean of n observations is X. If the first item is increased by 1, the second by 2 and so on, then the new mean is:
a) X + n
b) X + n/2
c) X + (n+1)/2
d) X + (n-1)/2

Question

The mean of n observations is X. If the first item is increased by 1, the second by 2 and so on, then the new mean is: a) X + n b) X + n/2 c) X + (n+1)/2 d) X + ( n-1 )/2

Jayakrishna Natarajan · Answer

Since mean of n obs is x, therefore sum of n obs is n*x therefore acc to condition: n*(n+1)/2 is added to n*x new mean is [n*x+n*(n+1)/2]/n this is equal to opt c

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The mean of n observations is X. If the first item is increased by 1, the second by 2 and so on, then the new mean is: a) X + n b) X + n/2 c) X + (n+1)/2 d) X + ( n-1 )/2

The mean of n observations is X. If the first item is increased by 1, the second by 2 and so on, then the new mean is:
a) X + n
b) X + n/2
c) X + (n+1)/2
d) X + (n-1)/2

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The mean of n observations is X. If the first item is increased by 1, the second by 2 and so on, then the new mean is: a) X + n b) X + n/2 c) X + (n+1)/2 d) X + ( n-1 )/2

The mean of n observations is X. If the first item is increased by 1, the second by 2 and so on, then the new mean is:a) X + n b) X + n/2c) X + (n+1)/2d) X + (n-1)/2

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The mean of n observations is X. If the first item is increased by 1, the second by 2 and so on, then the new mean is:
a) X + n
b) X + n/2
c) X + (n+1)/2
d) X + (n-1)/2