Please show the detailed derivations of your answer. Question #1 [12 pts] Twenty-eight applicants interested in working for the Food Stamp program took an examination designed to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores (sample data) appears below. Stems Leaves 46 Leaf unit = 1.0 5 9 6 3688 7 026799 8 145667788 9 1234788 a) Find mean, median, and standard deviation of the data. What can you say about the shape of this distribution? Explain. b) Find the inter-quartile range of the data. c) Are there any unusual observations or outliers exist in the data? Justify your answer.