Question

Find the value of x such that the data set has the given mean. 98,122,104,115,107,x,102 x=(Type an integer or a​ decimal.)

Answer 1

x = 66

Explanation:

For a set of N numbers:

{x₁, x₂, ..., xₙ}

The mean can be calculated as:

`M = (x_1 + x_2 + ...+ x_n)/(N)`

In this case we have the data set:

{98, 122, 104, 115, 107, x}

And I assume that we want to have the mean = 102.

So we have a set of 6 numbers, the mean of this set will be:

`M = (98 +122+104+115+107+x)/(6) = 102`

We need to solve this equation for x.

If we multiply both sides by 6, we get:

(98 + 122 + 104 + 115 + 107 + x) = 102*6 = 612

546 + x = 612

x = 612 - 546 = 66

x = 66