The data in Table 1.17 consist of 25 values for four computer-generated variables called Y1, Y2, Y3, and Y4. Each of these is intended to represent a particular distributional shape. Use a stem and leaf and a box plot to ascertain the nature of each distribution and then see whether the empirical rule works for each of these.

Table 1.17 Data for Recognizing Distributional Shapes Y1 Y2 Y3 Y4 Y1 Y2 Y3 Y4 4.0 3.5 1.3 5.0 8.1 4.7 2.7 2.3 6.7 6.4 6.7 1.0 6.3 3.3 1.3 0.1 6.2 3.3 1.3 0.6 6.9 3.9 2.7 3.9 2.4 4.0 2.7 4.5 8.4 5.7 5.4 1.4 1.6 3.5 1.3 1.8 3.1 3.3 1.3 2.2 5.3 4.8 4.0 0.3 4.5 5.2 4.0 0.9 6.8 3.2 1.3 0.1 1.6 4.0 2.7 4.8 6.8 6.9 9.4 4.7 1.8 6.7 8.0 1.6 2.8 6.5 6.7 2.7 5.3 5.2 4.0 0.1 7.3 6.6 6.7 1.1 2.7 5.8 5.4 3.9 5.8 4.4 2.7 2.1 3.2 5.9 5.4 0.9 6.1 4.2 2.7 2.3 4.2 3.1 0.0 7.4 3.1 4.6 2.7 2.5