If the mean of $5$ observations $x, x + 2, x + 4, x + 6, x + 8 = 13$ , Find x

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Solution

The mean is calculated by summing the item values and dividing by the number of items.
Hence, summing x, x + 2, x + 4, x + 6 and x + 8, we get 5x + 20.
Dividing this by 5 (5 items) gives us 13, so 5 x 13 must equal 5x + 20.
As an equation this is,
5x + 20 = 65.
Transposition of formulae yields,
5x = 65 - 20 = 45
Divide both sides by 5 and your answer is x = 9.

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