Stem and leaf diagrams and box plots

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Stem and leaf diagrams and box plots

• Statistics

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Example 1
Draw a stem and leaf diagram using the set of
data below.
148 147 145 103 113
135 93 87 111 110
119 107 113 110 104
Work out the quartiles and hence draw a box plot
3
8 7
9 3
10 3 4 7
11 0 0 1 3 3 9
12
13 5
14 5 7 8
Stem and leaf diagram
Solution
n 15 13 5 represents 135
Min 87 Q1 104 Q2 111 Q3
135 Max 148
Boxplot
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Example 2
Draw a stem and leaf diagram using the set of
data below.
40 50 72 51 60
55 67 46 57 53
55 42 51 59 49
52 46 64 43 66
54 64 48 58 52
Work out the quartiles and hence draw a box plot
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Stem and leaf diagram
Solution
4 0 2 3 6 6 8 9
5 0 1 1 2 2 3 4 5 5 7 8 9
6 0 4 4 6 7
7 2
n 25 4 0 represents 40
Min 40 Q1 485 Q2 53 Q3
595 Max 72
Boxplot
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Example 3
Draw a stem and leaf diagram using the set of
data below.
157 166 145 154 159 136 143 145 142
154 152 160 147 177 135 158 141 155
155 157 150 152 145 147 152 159 142
Work out the quartiles and hence draw a box plot
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Stem and leaf diagram
Solution
13 5 6
14 1 2 2 3 5 5 5 7 7
15 0 2 2 2 4 4 5 5 7 7 8 9 9
16 0 6
17 7
n 27 13 5 represents 135
Min 135 Q1 145 Q2 152 Q3
157 Max 177
Boxplot
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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 0.23 0.81
0.24 0.88 0.34 0.53 0.84 0.65 0.85 0.99
0.76 0.88 0.30 0.30 0.46 0.88 0.26 0.24
0.64 0.05 0.60 0.51 0.04 0.63 0.47 0.82
0.01 0.76 0.76 0.68 0.11 0.51 0.99 0.02
Work out the quartiles and hence draw a box plot
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0 1 2 3 4 5
1 1 5
2 3 3 4 4 6
3 0 0 4
4 6 7
5 1 1 3
6 0 2 3 4 5 8 8
7 6 6 6
8 1 2 4 4 5 8 8 8
9 9 9
Solution
Stem and leaf diagram
n 40 2 3 represents 0.23
Min 001 Q1 0235 Q2 052
Q3 0815 Max 099
Boxplot