If the mean of the observations x, x+3, x+5, | vedclass

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(C) The mean of the observations is given by the sum of observations divided by the total number of observations.Given observations: $x, x+3, x+5, x+7

Vedclass · Accepted Answer

$11 \frac{1}{3}$

Vedclass · Answer

(C) The mean of the observations is given by the sum of observations divided by the total number of observations.Given observations: $x, x+3, x+5, x+7, x+10$.Number of observations $= 5$.Mean $= \frac{x + (x+3) + (x+5) + (x+7) + (x+10)}{5} = 9$.$\Rightarrow \frac{5x + 25}{5} = 9$.$\Rightarrow 5x + 25 = 45$.$\Rightarrow 5x = 20$.$\Rightarrow x = 4$.The last three observations are $x+5, x+7, x+10$.Substituting $x = 4$,we get: $4+5=9, 4+7=11, 4+10=14$.The mean of the last three observations $= \frac{9 + 11 + 14}{3} = \frac{34}{3} = 11 \frac{1}{3}$.

If the mean of the observations $x, x+3, x+5, x+7, x+10$ is $9,$ find the mean of the last three observations.

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