Starting with the data values 70 and 100, add three data values to the sample so that the sample has the following: (Justify your answer in each case.)

a. Mean of 100

b. Median of 70

c. Mode of 87

d. Midrange of 70

e. Mean of 100 and a median of 70

f. Mean of 100 and a mode of 87 g. Mean of 100 and a midrange of 70 h. Mean of 100, a median of 70, and a mode of 87