Question

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

Answer 1

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