1. Given is the following data set: 15, 19, 15, 23, 19, 23, 27, 31, 35, 39, 19, 31, 39, 43, 31, 39, 19, 27, 39, 47. (a) Determine the median. (b) Determine the mean. (c) Determine the mode(s). (d) Determine MAD. (3 pts) (e) Determine the SD. (1 pt) (1 pt) (1 pt) (4 pts) 2. Given is the following information about a data set containing 3000 observations: Relative $ Frequency Frequency 20 - 30 0.15 30 - 50 0.20 50 - 60 240 60 - 80 80 - 100 0.25 3,000 1.00 (a) Draw the histogram with the indicated classes. (b) (c) (d) Assuming a uniform distribution in each given class, determine the average. Assuming a uniform distribution in each given class, determine the IQ. Assuming a uniform distribution in each given class, determine the median. 3. Assume that a certain income distribution follows a normal curve with a mean of $150,000 and SD of $40,000. Determine the 10th percentile incom