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(please help) For what value of x will 8 and x have the same mean as 27 and 5?

User Vlad Lyga
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We know the formula for mean is given by


\text{Mean}=\frac{\text{Sum of all observations}}{\text{Total number of observations}}

Using the above mentioned formula, the mean of 27 and 5 is given by


\text{Mean}=(27+5)/(2) \\ \\ \text{Mean}=(32)/(2)\\ \\ \text{Mean}=16

Similarly, mean of 8 and x is given by


(8+x)/(2)

Now, we have been given that 8 and x have the same mean as 27 and 5. Therefore, we have


(8+x)/(2) =16\\ \\ 8+x=32\\ \\ x=24

Therefore, the x value is 24

User Yotamoo
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