Question

Find the value of x such that the data set has the given mean.

99, 122, 107, 114, 107, x; mean 114

Answer 1

Answer should be 135

Answer 2

9514 1404 393

Answer:

x = 135

Explanation:

The sum of the differences from the mean of the known numbers is

-15 +8 -7 +0 -7 = -21

The value of x must have a difference from the mean that is the opposite of this sum. (That is, the total of differences from the mean of all the numbers must be zero.)

x = 114 +21

x = 135