Question

If the mean of the following observations is 39, find the value of x. 29, 48, x,51.x-3.​

Answer 1

therefore the value of x in the given data is 35

Answer 2

SOLUTION

GIVEN

The mean of the observations 29, 48, x, 51, x-3 is 39

TO DETERMINE

The value of x

EVALUATION

Here the given observations are 29, 48, x, 51, x-3

Number of observations = 5

Sum of the observations

= 29 + 48 + x + 51 + x - 3

= 2x + 125

So by the given condition

$\displaystyle \sf{ \frac{2x + 125}{5} = 39 }$

$\displaystyle \sf{ \implies \: 2x + 125 =195 }$

$\displaystyle \sf{ \implies \: 2x =70 }$

$\displaystyle \sf{ \implies \: x = 35}$

Hence the required value of x = 35

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