A random sample of 25 people recorded the number of glasses of water they drank in a particular week. The results are shown below.
23, 19, 32, 14, 25, 22, 26, 36, 45, 42, 47, 28, 17, 38, 15, 46, 18, 26, 22, 41, 19, 21, 28, 24, 30
Draw a stem-and-leaf diagram to represent the data.
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Solution
To create a stem-and-leaf diagram, separate each number into a stem (the leading digit) and a leaf (the trailing digit). For example, the number 23 is split into a stem of 2 and a leaf of 3.
Step 1: Organize the data
Stems: 1, 2, 3, 4
Leaves for stem 1: 4, 5, 7, 8, 9, 9
Leaves for stem 2: 1, 2, 2, 3, 4, 5, 6, 6, 8, 8
Leaves for stem 3: 0, 2, 6, 8
Leaves for stem 4: 1, 2, 5, 6, 7
Step 2: Construct the diagram
1
4 5 7 8 9 9
2
1 2 2 3 4 5 6 6 8 8
3
0 2 6 8
4
1 2 5 6 7
Step 3: Key
Key: \( 1 \mid 4 \) represents \( 14 \) glasses of water.
Summary:
The lowest number of glasses is 14 and the highest is 47.
Most values are clustered in the 20s, indicating a typical weekly consumption between 20–30 glasses.
The stem-and-leaf diagram provides a clear visualization of the distribution and helps identify patterns quickly.
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