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The mean of n items is overline(X). If t...

The mean of n items is `overline(X)`. If the first item is increased by 1, second by 2 and so on, then the new mean is

A

`bar x + n`

B

`bar x + (n)/(2)`

C

`bar x + (n+1)/(2)`

D

None of these

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • The mean of n items is bar(x) . If the first item is increased by n, second by n-1 and so on and last by 1, then the new mean is

    A
    `barx+(n(n+1)(2n+1))/(6)`
    B
    `barx+((n+1)(2n+1))/(6)`
    C
    `barx+(n+1)/(2)`
    D
    `barx+((n+1))/(4)`

  • The mean of n observation is barX . If the first observation is increased by 1^(2) , second by 2^(2) and so on, then the new mean is

    A
    `barX+n((n+1)(2n+1))/(6)`
    B
    `barX+((n+1)(2n+1))/(6)`
    C
    `barX+(n+1)/(2)`
    D
    `barX+((n+1))/((4)`

  • The mean of ten items is 17 and if each item is increased by 5, then the new mean will be

    A
    22
    B
    67
    C
    17
    D
    85

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