If the mean of 18, 2x, 27, 12, 3x, 5x and 21 | vedclass

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Question

(C) The mean of a set of observations is given by the sum of observations divided by the total number of observations.Given observations: $18, 2x, 27,

Vedclass · Accepted Answer

$9$

Vedclass · Answer

(C) The mean of a set of observations is given by the sum of observations divided by the total number of observations.Given observations: $18, 2x, 27, 12, 3x, 5x, 21$.Total number of observations $(n)$ = $7$.Mean = $\frac{	ext{Sum of observations}}{n} = 24$.Sum of observations = $18 + 2x + 27 + 12 + 3x + 5x + 21 = 10x + 78$.Setting up the equation: $\frac{10x + 78}{7} = 24$.Multiply both sides by $7$: $10x + 78 = 168$.Subtract $78$ from both sides: $10x = 90$.Divide by $10$: $x = 9$.

If the mean of $18, 2x, 27, 12, 3x, 5x$ and $21$ is $24,$ then find $x$.

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