Find the value of x such that the data set has the given mean.
99, 123, 104, 113, 107, x; mean 102
To find the value of x that will result in a mean of 102, we can use the formula for mean:
Mean = (sum of all the numbers)/(number of numbers)
Given that the mean is 102, we have:
(99 + 123 + 104 + 113 + 107 + x)/6 = 102
Now, let's solve for x:
99 + 123 + 104 + 113 + 107 + x = 102 * 6
536 + x = 612
x = 612 - 536
x = 76
Therefore, the value of x that will result in a mean of 102 is 76.