Consider the following data set

Question

Consider the following data set with 10 observation 4,6,6,7,11,13,15,16,x. Find 3 values of x for which mean equal mode

Answer 1

If we ignore the statement that there are 10 observations (as there are only 9, including the x) and the requirement to find three different values that result in node = mean (as we can only find 1), the way to solve this is to recognize that 6 is the mode. For that to be mean as well, the total of all observations must be 9*6 =54. Since the total is currently 78, we need to add an observation 54 - 78 = -22.