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

Foundation

Mathematics Foundation

Measure of Central Tendency

Solution of Linear Equation

Question

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

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$\frac{x + x + 2 + x + 4 + x + 6 + x + 8}{5} = 11$
   5x + 20    = 55
       x = 7
   Mean of first three observations
   Mean =   $\frac{7 + 9 + 11}{3}$
       = 9