Stem and leaf diagrams and box plots Statistics

Example 1 Draw a stem and leaf diagram using the set of data below. 148 147 145 103 113 135 93 87 111 110 119 107 104 Work out the quartiles and hence draw a box plot

Solution 8 7 9 3 10 4 11 1 12 13 5 14 Stem and leaf diagram n = 15 1 12 13 5 14 Solution Stem and leaf diagram n = 15 13 | 5 represents 135 Min = 87 Q1 = 104 Q2 = 111 Q3 = 135 Max = 148 Boxplot

Example 2 Draw a stem and leaf diagram using the set of data below. 40 50 72 51 60 55 67 46 57 53 42 59 49 52 64 43 66 54 48 58 Work out the quartiles and hence draw a box plot

Solution Stem and leaf diagram 4 2 3 6 8 9 5 1 7 n = 25 2 3 6 8 9 5 1 7 n = 25 4 | 0 represents 40 Min = 40 Q1 = 48·5 Q2 = 53 Q3 = 59·5 Max = 72 Boxplot

Example 3 Draw a stem and leaf diagram using the set of data below. 157 166 145 154 159 136 143 142 152 160 147 177 135 158 141 155 150 Work out the quartiles and hence draw a box plot

Solution 13 5 6 14 1 2 3 7 15 4 8 9 16 17 Stem and leaf diagram n = 27 4 8 9 16 17 n = 27 13 | 5 represents 135 Min = 135 Q1 = 145 Q2 = 152 Q3 = 157 Max = 177 Boxplot

Example 4 Draw a stem and leaf diagram using the set of data below. 0.23 0.68 0.03 0.84 0.62 0.15 0.81 0.24 0.88 0.34 0.53 0.65 0.85 0.99 0.76 0.30 0.46 0.26 0.64 0.05 0.60 0.51 0.04 0.63 0.47 0.82 0.01 0.11 0.02 Work out the quartiles and hence draw a box plot

Solution 1 2 3 4 5 6 7 8 9 Stem and leaf diagram n = 40 1 2 3 4 5 6 7 8 9 Solution Stem and leaf diagram n = 40 2 | 3 represents 0.23 Min = 0·01 Q1 = 0·235 Q2 = 0·52 Q3 = 0·815 Max = 0·99 Boxplot