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


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}=\frac{27+5}{2} \\
\\
\text{Mean}=\frac{32}{2}\\
\\
\text{Mean}=16

Similarly, mean of 8 and x is given by

\frac{8+x}{2}

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

\frac{8+x}{2} =16\\
\\
8+x=32\\
\\
x=24

Therefore, the x value is 24


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