To find the unknown values in the data set of heights, we know that the mode (most frequently occurring value) is 45 inches. From the given data set, the mode is 45 inches. The data set is as follows:
49, 50, 45, 49, x, x
Since the mode is 45 inches, we know that 45 inches occurs more frequently than any other value in the data set. Therefore, the unknown values must be 49 and 50, as they are the only values that are not the mode, 45.
So, the unknown values are 49 and 50.