Stem-and-leaf diagrams
The Maths Habit Handout to print
The ages of 15 people at a party:
34, 17, 28, 45, 22, 31, 19, 26, 38, 41, 23, 15, 36, 29, 42
How could you set these out so they are easier to read?
Put them in order, group them by tens
- Stem
- The first digit or digits of each number.
- Leaf
- The last digit of each number.
- Key
- Shows how to read the diagram.
Which numbers does this diagram show?
| 1 | 2 5 8 |
|---|---|
| 2 | 0 3 3 7 |
| 3 | 1 4 |
Key: 1 | 2 means 12
12, 15, 18, 20, 23, 23, 27, 31, 34
Draw an ordered stem-and-leaf diagram.
24, 31, 18, 27, 35, 12, 29, 21, 38
| 1 | |
|---|---|
| 2 | |
| 3 |
Key: ___ | ___ means ___
32, 15, 27, 41, 19, 36, 24, 45, 28, 13, 37
| 1 | 3 5 9 |
|---|---|
| 2 | 4 7 8 |
| 3 | 2 6 7 |
| 4 | 1 5 |
Key: 1 | 3 means 13
Median 28 Range 32
56, 72, 61, 58, 75, 64, 53, 69, 77
| 5 | |
|---|---|
| 6 | |
| 7 |
Key: 5 | 3 means 53
Median 64 Range 24
32, 15, 27, 41, 19, 36, 24, 45, 28, 13, 37
| 1 | |
|---|---|
| 2 | |
| 3 | |
| 4 |
Key: 1 | 3 means 13
Median 28 Range 32
48, 23, 35, 41, 27, 39, 44, 21, 30
| 2 | 1 3 7 |
|---|---|
| 3 | 0 5 9 |
| 4 | 1 4 8 |
Key: 2 | 1 means 21
Median 35 Range 27
32, 15, 27, 41, 19, 36, 24, 45, 28, 13, 37
| 1 | |
|---|---|
| 2 | |
| 3 | |
| 4 |
Key: 1 | 3 means 13
Median 28 Range 32
64, 81, 59, 72, 66, 53, 78, 85, 61
| 5 | 3 9 |
|---|---|
| 6 | 1 4 6 |
| 7 | 2 8 |
| 8 | 1 5 |
Key: 5 | 3 means 53
Median 66 Range 32
32, 15, 27, 41, 19, 36, 24, 45, 28, 13, 37
| 1 | |
|---|---|
| 2 | |
| 3 | |
| 4 |
Key: 1 | 3 means 13
Median 28 Range 32
2.4, 3.1, 1.8, 2.7, 3.5, 1.6, 2.2, 2.9, 2.5
| 1 | 6 8 |
|---|---|
| 2 | 2 4 5 7 9 |
| 3 | 1 5 |
Key: 1 | 6 means 1.6 kg
Median 2.5 kg Range 1.9 kg
32, 15, 27, 41, 19, 36, 24, 45, 28, 13, 37
| 1 | |
|---|---|
| 2 | |
| 3 | |
| 4 |
Key: 1 | 3 means 13
Median 28 Range 32
12, 15, 33, 18, 31, 14, 36, 19, 38
| 1 | 2 4 5 8 9 |
|---|---|
| 2 | |
| 3 | 1 3 6 8 |
Key: 1 | 2 means 12
Median 19 Range 26
Answer sheet
Mia writes one row of her diagram as 3 | 2 5 1 8. What mistake has she made?
The leaves are not in orderA key says 12 | 4 means 124. Write 131 and 109 as a stem and a leaf.
13 | 1 and 10 | 9A diagram has the rows 4 | 1 3 3 8 and 5 | 0 2 6. Its key says 4 | 1 means 4.1 kg. Find the mode and the range.
Mode 4.3 kg, range 1.5 kg
Draw an ordered stem and leaf diagram with a key: 52, 38, 47, 33, 41, 59, 36, 44, 50, 31
Leaves 1 3 6 8, 1 4 7, 0 2 9; key 3 | 1 = 31Find the median and the range.
median 25, range 24Now 1 | 4 means 1.4. What is the range in question 2?
2.4