Anscombe’s quartet: Statistician Francis Anscombe developed four data sets that demonstrate the importance of graphing data in addition to computing summary statistics such as the mean and variance. Following are the data sets. Verify that the means and variance are the same for each, to two decimal places. Construct boxplots for each, and discuss the differences among the data sets, which are not detected by the mean and variance.

Data set 1: 8.04 6.95 Data set 2: 9.14 Data set 3: 7.46 8.14 6.77 7.58 8.81 8.33 9.96 7.24 8.74 8.77 9.26 8.10 6.13 12.74 7.11 7.81 8.84 4.26 10.84 4.82 5.68 3.10 9.13 7.26 4.74 6.08 5.39 8.15 6.42 5.73 Data set 4: 6.58 5.76 7.71 8.84 8.47 7.04 5.25 12.50. 5.56 7.91 6.89