1. Determine the mean, median and mode in problems a and b. a. 21, 19, 16,13, 19, 22, 25, 2B, 35, 35, 4o, 42, 41, 23, 2? b. 5, 6, 3, 9, 12, 12, 14, 15, 12, 5?, 45, 35, 28, 12 2. The six departments of a company consisting of22, 32, 18, 15, 1t}, and 12 employees have an equal monthly salaryr ol Php?,2DD.i}, Php?,500., Php5,3ti, F'hp3,2{i, Phpi",3[i and Php?,2DD, respectively. What is the mean monthly salary of all employees of the company? 3. Using the following data 3, 6, 2, 1, T, and 5. Treating the data as population, A. Compute the mean B. Add 2. to each of the numbers and recompute the mean. I C. Subtract 2 from each of the numbers and recompute the mean. I). Multiply each ofthe numbers by 2 and recompute the mean. E. Divide each of the numbers by 2 and recompute the mean. F. What happens to the mean when you add, subtract, multiply, and divide the set of observations by a constant? Generalize your answer. 4. The time keeper for particular mile race uses a stopwatch to determine the finishing times of the racers. He then calculates that the mean time for the first three finishers was 4.25 minutes. After checking his stopwatch, he notices to his horror that the stopwatch begins timing at 15 seconds rather than at zero, resulting in scores of which is 15 seconds too long. What is the correct mean time for the first three finishers? 5. The average of four number is 40. The third number is 12 more than the second number. Second number is five times the first number. The fourth is 8 less than the first number. Find the numbers. 6. Refer to item no. 1 part a, determine the values of the following quantiles: a. 70th percentile b. 5th decile c. 1 st quartile d. 6th decile e. 90th percentile