Instruction: please answer the following problems. Show your solution.

1. Following are the numbers of daily bids received by the government of a developing country from firms interested in winning a contract for the construction of a new port facility. 2, 3, 2, 4, 3, 5, 1, 1, 6, 4, 7, 2, 5, 1, 6 Find the quartiles and the interquartile range. Also find the 60th percentile. 2. Find the median, the interquartile range, and the 45th percentile of the following data. 23, 26, 29, 30, 32, 34, 37, 45, 57, 80, 102, 147, 210, 355, 782, 1,209 3. Find the mean, median, and mode(s) of the observations in problem #2. 4. Find the mean, mode, and median for the data set 7, 8, 8, 12, 12, 12, 14, 15, 20, 47, 52, 54. 5. Discuss the differences among the three measures of centrality