In independent random samples of 10 men and 10 women, the numbers of minutes spent working out are given by the back-to-back stemplots below: Row 1 contents are Men; bar; blank; bar; Women. Row 2 contents are 1; bar; 1; bar; 3, 5. Row 3 contents are blank; bar; 2; bar; 4. Row 4 contents are blank; bar; 3; bar; 2, 3, 6,7. Row 5 contents are blank; bar; 4; bar; blank. Row 6 contents are 6, 7; bar; 5; bar; 0, 3. Row 7 contents are 8; bar; 6; bar; blank. Row 8 contents are 5; bar; 7; bar; blank. Row 9 contents are 6, 1; bar; 8; bar; blank. Row 10 contents are 7, 5, 4; bar; 9; bar; 5.

Part A: Describe the shape of each data set. (3 points)

Part B: Coraline analyzed the data and stated that the better measure of center for the women is the median. Is Coraline correct? Explain your reasoning. (3 points)

Part C: Coraline decided there are no outliers in the women's data set. Is she correct? Justify your answer mathematically. (4 points