Assume that 17 is the value of Q1 in a sample of 15 numbers and Q3 = 87. If the distribution of these numbers is symmetric about the median and the data are transformed using the transformation y∗ = a + by, with the statistics given above being for y, what is one possible combination of a and b if the median of y∗ is 8?

Assume that an engineering statistics class consists of 25 men and 10 women. If the median height of the women is 65.4 inches and the median height of the men is 71.6 inches, can the median height for the men and women combined be determined? Why or why not?