1. Stem and leaf diagrams and box plots
Statistics

2. 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

3. Solution 8 7 9 3 10 4 11 1 12 13 5 14 Stem and leaf diagram n = 151 12 13 5 14
Solution
Stem and leaf diagram
n = 15
13 | 5 represents 135
Min = Q1 = Q2 = Q3 = Max = 148
Boxplot

4. 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

5. Solution Stem and leaf diagram 4 2 3 6 8 9 5 1 7 n = 252 3 6 8 9 5 1 7
n = 25
4 | 0 represents 40
Min = Q1 = 48·5 Q2 = Q3 = 59·5 Max = 72
Boxplot

6. 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

7. Solution 13 5 6 14 1 2 3 7 15 4 8 9 16 17 Stem and leaf diagram n = 274 8 9 16 17
n = 27
13 | 5 represents 135
Min = Q1 = Q2 = Q3 = Max = 177
Boxplot

8. 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

9. Solution 1 2 3 4 5 6 7 8 9 Stem and leaf diagram n = 401 2 3 4 5 6 7 8 9
Solution
Stem and leaf diagram
n = 40
2 | 3 represents 0.23
Min = 0· Q1 = 0· Q2 = 0· Q3 = 0· Max = 0·99
Boxplot