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

102, 122, 103, 111, 106, x; mean 112

Answer: 128

Step-by-step explanation:

The mean is the average of a set of numbers. It is calculated by adding all the numbers given and then dividing the total number by the amount of numbers given.

The numbers given are 102, 122, 103, 111, 106, x. We don't know the value of x yet but we've been given a mean of 112 and from the information, we know that there are 6 numbers.

Mean = Sum of the numbers/6

112 = (102+122+103+111+106+x) / 6

112 = (544 + x) / 6

Cross multiply

112 * 6 = 544 + x

672 = 544 + x

672 - 544 = x

X = 128