If the mean of 5 observation is $x, x + 2, x + 4, x + 6, x + 8 i s 11$ then the mean of last three observation is

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Solution

Solution
Given: $\frac{x + (x + 2) + (x + 4) + (x + 6) + (x + 8)}{5} = 11$
$\Rightarrow 5 x + 20 = 55$
$\Rightarrow 5 x = 35$
$\Rightarrow x = 7$
$∴$ The Numbers are, 7, 9, 11, 13, 15
Now mean of last three observation
is $\frac{11 + 13 + 15}{3} = \frac{39}{3} = 13$

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