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The mean of a set of observations is ba...

The mean of a set of observations is `bar x`. If eachobservation is divided by `alpha, (alpha != 0)` and thenis increased by 10, then the mean of the newset is

A

`barx/alpha`

B

`(barx+10)/alpha`

C

`(barx+10alpha)/alpha`

D

`alphabarx+10`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • The mean of a set of observations is overlinex . If each observation is divided by, alpha!=0 and then is increased by 10, then the mean of the new set is

    A
    `overlinex/alpha`
    B
    `(overlinex+10)/alpha`
    C
    `(overlinex+10alpha)/alpha`
    D
    `alphaoverlinex+10`

  • The arithmetic mean of a set of observations is bar(X) . If each observation is divided by alpha and then is increased by 10, then the mean of the new series is

    A
    `(bar(X))/(alpha)`
    B
    `(bar(X)+10)/(alpha)`
    C
    `(bar(X)+10alpha)/(alpha)`
    D
    `alpha bar(X) + 10`

  • The arithmetic mean of a set of observation is vec(X) . If each observation is divided by alpha and increased by 10, then the mean of the new series is

    A
    `(vec(X))/(alpha)`
    B
    `(vec(X) + 10)/(alpha)`
    C
    `(vec(X) + 10 alpha)/(alpha)`
    D
    `alpha vec(X) + 10`