Stem-and-leaf diagrams

The Maths Habit

Which words are hidden here?

bageduscatowupdigog

Key: c | at means cat

bag, bed, bus, cat,
cow, cup, dig, dog

What is the number?

4 tens and 6 ones46
7 tens and 1 one71
3 tens and 0 ones30

Stem
The tens digit of each number.
stem
Leaf
The ones digit of each number.
leaf
Key
Shows how to read the diagram.
Key:|means

What number is it?

Key: 2 | 7 means 27

3 | 434
5 | 050
1 | 919

median
modesmallestbiggest

The key: Join the stem and the leaf.

  1. 1Cross off to the middle.Cross off one leaf from each end. The leaf left is the median.
  2. 2Find the one you see most.The leaf you see most on one stem is the mode.
  3. 3Biggest take away smallest.The last leaf take away the first. This is the range.

Find the median, mode and range.

1366215834

Key: 1 | 3 means 13

1Cross off to the middle.
Median21
2Find the one you see most.
Mode16
3Biggest take away smallest.
Range34−13=21

Find the median, mode and range.

2477313849

Key: 2 | 4 means 24

1Cross off to the middle.
Median31
2Find the one you see most.
Mode27
3Biggest take away smallest.
Range49−24=25

Find the median, mode and range.

1366215834

Key: 1 | 3 means 13

1Cross off to the middle.
Median21
2Find the one you see most.
Mode16
3Biggest take away smallest.
Range34−13=21
1Cross off to the middle.Median2Find the one you see most.Mode3Biggest take away smallest.RangeKey: Join the stem and the leaf.

Find the median, mode and range.

4225503661

Key: 4 | 2 means 42

1Cross off to the middle.
Median50
2Find the one you see most.
Mode42
3Biggest take away smallest.
Range61−42=19

Find the median, mode and range.

1366215834

Key: 1 | 3 means 13

1Cross off to the middle.
Median21
2Find the one you see most.
Mode16
3Biggest take away smallest.
Range34−13=21
1Cross off to the middle.Median2Find the one you see most.Mode3Biggest take away smallest.RangeKey: Join the stem and the leaf.

Find the median, mode and range.

1599203732641

Key: 1 | 5 means 15

1Cross off to the middle.
Median23
2Find the one you see most.
Mode19
3Biggest take away smallest.
Range41−15=26

Find the median, mode and range.

1366215834

Key: 1 | 3 means 13

1Cross off to the middle.
Median21
2Find the one you see most.
Mode16
3Biggest take away smallest.
Range34−13=21
1Cross off to the middle.Median2Find the one you see most.Mode3Biggest take away smallest.RangeKey: Join the stem and the leaf.

Find the median, mode and range.

6487025583

Key: 6 | 4 means 64

1Cross off to the middle.
Median72
2Find the one you see most.
Mode75
3Biggest take away smallest.
Range83−64=19

1Cross off to the middle.Median2Find the one you see most.Mode3Biggest take away smallest.RangeKey: Join the stem and the leaf.
1
2166303478

Key: 2 | 1 means 21

Median30Mode26Range48−21=27
2
1244258316

Key: 1 | 2 means 12

Median25Mode14Range36−12=24
3
5337602971485

Key: 5 | 3 means 53

Median62Mode53Range85−53=32
4
3474016528863

Key: 3 | 4 means 34

Median46Mode58Range63−34=29

stemKey:|meanssmallest first
  1. 1Write the stems.The tens digits, smallest at the top. Draw a line down after them.
  2. 2Write the leaves in order.One stem at a time, smallest first. Tick each number as you use it.
  3. 3Write the key.Pick one number. Show its stem and its leaf.

Draw the stem and leaf diagram.

27, 14, 33, 21, 18, 36, 25

1482157336
1Write the stems.
2Write the leaves in order.
3Write the key.

Key: 1|4means 14

Draw the stem and leaf diagram.

45, 52, 38, 41, 57, 34, 49

3484159527
1Write the stems.
2Write the leaves in order.
3Write the key.

Key: 3|4means 34

Draw the stem and leaf diagram.

27, 14, 33, 21, 18, 36, 25

1482157336
1Write the stems.
2Write the leaves in order.
3Write the key.

Key: 1|4means 14

1Write the stems.2Write the leaves in order.3Write the key.

Draw the stem and leaf diagram.

63, 71, 58, 66, 74, 52, 69

5286369714
1Write the stems.
2Write the leaves in order.
3Write the key.

Key: 5|2means 52

Draw the stem and leaf diagram.

27, 14, 33, 21, 18, 36, 25

1482157336
1Write the stems.
2Write the leaves in order.
3Write the key.

Key: 1|4means 14

1Write the stems.2Write the leaves in order.3Write the key.

Draw the stem and leaf diagram.

32, 18, 45, 27, 13, 39, 22, 41, 30

1382273029415
1Write the stems.
2Write the leaves in order.
3Write the key.

Key: 1|3means 13

Draw the stem and leaf diagram.

27, 14, 33, 21, 18, 36, 25

1482157336
1Write the stems.
2Write the leaves in order.
3Write the key.

Key: 1|4means 14

1Write the stems.2Write the leaves in order.3Write the key.

Draw the stem and leaf diagram.

56, 74, 61, 50, 68, 73, 59

5069618734
1Write the stems.
2Write the leaves in order.
3Write the key.

Key: 5|0means 50

Stem-and-leaf diagrams worksheet, page 1

Stem-and-leaf diagrams worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. Key: 3 | 2 means 32. So 4 | 5 means 45.

    Right

  2. Key: 3 | 2 means 32. So 5 | 0 means 5.

    Wrong: it means 50

  3. 1 | 2 6 8 has a median of 6.

    Wrong: the median is 16

  4. 1 | 4 9 and 2 | 3 have a range of 9.

    Right

  1. 1 | 3 7 and 2 | 3 6. Key: 1 | 3 means 13. Find the median.

    20

  2. Key: 4 | 2 means 4.2 kg. What does 5 | 7 mean?

    5.7 kg

  3. Key: 12 | 4 means 124. Write 108 as a stem and a leaf.

    10 | 8

  1. Draw the stem and leaf diagram.

    leaves 3 8, 2 4 7, 1 5
    24, 13, 31, 27, 18, 35, 22123Key:|means1Write the stems.2Write the leavesin order.3Write the key.

  2. Find the median, mode and range.

    median 41, mode 36, range 21
    3266415503Key: 3 | 2means 321Cross off to the middle.Median2Find the one you see most.Mode3Biggest take away smallest.Range−=

  3. Find the median and the range.

    median 24, range 21
    1592148336Key: 1 | 5 means 15
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