Suppose the number 27 is included as an additional data value in Set A. Compute x for the new data set. Hint:

x = nx. To compute x for the new data set, add 27 to

x of the original data set and divide by 6.

We are to determine the mean of the new set that results when the value 27 is included as an additional value in Set A. However, before we can find the mean of the modified data set, we need to first take a closer look at the original Set A. We are given that Set A has n = 5 data values and mean x = 4.

There are 5 data values in the set, so we can let x1, x2, x3, x4 and x5 be the data values in the original Set A. Since the mean is equal to 4 we have the following.