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Question

The mean of x,x+2,x+4,x+6 and x+8 is 11, find the mean of the first three observations.

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Solution

The mean of 5 observations x,x+2,x+4,x+6,x+8 is 11.

Mean=NumberofobservationsTotalobservations

11=x+x+2+x+4+x+6+x+85

55=5x+20

5x=35

x=7

Then, the first three terms will be,

x=7

x+2=7+2

=9

x+4=7+4

=11

The mean of first three terms is,

Mean=7+9+113

Mean=273

Mean=9


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