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Question

If the mean of five observations x, x+2, x+4, x+6 and x+8 is 11, then the mean of first three observations is:

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Solution

We know that
Mean =Sum of observationsNumber of observations

x + x + 2 + x + 4 + x + 6 + x + 85=11
5x + 205x+4=11
x=7
So, the first three observations are x, x + 2 and x + 4.

x=7
x+2=7+2=9
x+4=7+4=11

Hence, the required mean of first three observations is

7 + 9 + 113=273=9.

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