Data and probability · Ages 12–13

Drawing stem-and-leaf diagrams worksheet

Part of: Organising data & statistical charts

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Data and probability · Ages 12–13

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Write each answer in the space. For word problems, show your working and write a sentence answer.

1.These data go in a stem-and-leaf diagram, the tens digit as the stem: 60, 41, 62, 85, 77, 63. Stem 6's leaves, smallest first, are , , .
Fill in each blank
Answer:
2.A stem-and-leaf diagram of these data, the tens digit as the stem: 55, 38, 61, 61, 65, 11. Counting from the smallest stem to the largest, how many stems are written?
Answer:
3.These data go in a stem-and-leaf diagram, the tens digit as the stem: 59, 40, 53, 71, 61, 57. Stem 5's leaves, smallest first, are , , .
Fill in each blank
Answer:
4.These 10 values go in a stem-and-leaf diagram, the tens digit as the stem: 26, 67, 58, 50, 58, 47, 58, 50, 23, 24. Which stem's row has the most leaves?
Answer:
5.These 10 values go in a stem-and-leaf diagram, the tens digit as the stem: 69, 23, 39, 57, 54, 40, 41, 56, 34, 59. Which stem's row has the most leaves?
Answer:
6.The stem-and-leaf diagram (the tens digit as the stem) should show these 8 values, but one is missing: 52, 39, 46, 26, 42, 38, 22, 56. Which value is missing?
Answer:
7.The stem-and-leaf diagram (the tens digit as the stem) should show these 8 values, but one is missing: 22, 29, 20, 20, 43, 41, 42, 44. Which value is missing?
Answer:

8.Here are 8 values: 25, 42, 50, 30, 48, 42, 58, 28. Which stem-and-leaf diagram shows them correctly?
- A
- B
- C
- D
Choose the right picture
Answer:
9.Here are 8 values: 45, 31, 55, 23, 41, 53, 28, 21. Which stem-and-leaf diagram shows them correctly?
- A
- B
- C
- D
Choose the right picture
Answer:
10.These 8 values go in a stem-and-leaf diagram, the tens digit as the stem: 57, 38, 56, 41, 31, 45, 58, 20. Stem 5's row has 4 leaves.
True or false?
Answer:
11.Here are 8 players' heights in cm: 146, 167, 149, 146, 171, 160, 143, 145. With the first two digits as the stem and the units as the leaf, which stem-and-leaf diagram is right?
- A
- B
- C
- D
Choose the right picture
Answer:
12.Here are 8 players' heights in cm: 142, 146, 172, 171, 144, 147, 143, 140. With the first two digits as the stem and the units as the leaf, which stem-and-leaf diagram is right?
- A
- B
- C
- D
Choose the right picture
Answer:

13.Tsz-ching draws these 10 values as a stem-and-leaf diagram, the tens digit as the stem: 46, 46, 31, 62, 40, 42, 36, 60, 52, 45. Stem 5's row has leaves, the largest of them .
Fill in each blank
Working:
Answer:
14.Ka-yan draws these data as a stem-and-leaf diagram, the tens digit as the stem: 18, 26, 59, 26, 41, 35. How many of its rows are empty (a stem with no leaves)?
Working:
Answer:
15.Ka-yan weighs 8 players in kg: 46, 56, 67, 41, 68, 62, 43, 32. Which stem-and-leaf diagram shows them correctly?
- A
- B
- C
- D
Choose the right picture
Working:
Answer:
16.Ming draws these data as a stem-and-leaf diagram, the tens digit as the stem: 71, 50, 31, 66, 57, 71, 47, 22. The stem of its last row is 8.
True or false?
Working:
Answer:
17.Ka-lok draws 84, 78, 59, 75, 77 as a stem-and-leaf diagram, each row's leaves in order. What is the 2nd leaf in stem 7's row?
Working:
Answer:
18.Tsz-hin draws these 10 values as a stem-and-leaf diagram, the tens digit as the stem: 46, 69, 64, 57, 42, 21, 57, 28, 52, 21. Stem 5's row has leaves, the largest of them .
Fill in each blank
Working:
Answer:

Show the answers and working

Drawing stem-and-leaf diagrams worksheet: Answers and working

1. 0, 2, 3
Stem 6's data are 60, 62, 63, with leaves 0, 2, 3; in order: 0, 2, 3.
2. 6
Least 11, greatest 65: stems 1 to 6, writing those with no data too, 6 − 1 + 1 = 6 stems.
3. 3, 7, 9
Stem 5's data are 59, 53, 57, with leaves 9, 3, 7; in order: 3, 7, 9.
4. 5
Count the values with each tens digit: tens digit 5 has the most, 5, so stem 5's row has the most leaves.
5. 5
Count the values with each tens digit: tens digit 5 has the most, 4, so stem 5's row has the most leaves.
6. 22
First check the number of leaves: the diagram has only 7, but there are 8 values. Find each value in the diagram in turn; the one not there is 22.
7. 20
First check the number of leaves: the diagram has only 7, but there are 8 values. Find each value in the diagram in turn; the one not there is 20.

8. C
Each value's tens digit is its stem and its units digit its leaf: 8 values, 8 leaves, each row in order.
9. A
Each value's tens digit is its stem and its units digit its leaf: 8 values, 8 leaves, each row in order.
10. False
Count the values with tens digit 5: 3, so stem 5's row has 3 leaves.
11. B
152 has stem 15 and leaf 2. 8 values make 8 leaves, each beside its stem, each row in order.
12. C
152 has stem 15 and leaf 2. 8 values make 8 leaves, each beside its stem, each row in order.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 1, 2
1 values have tens digit 5; the largest of their units digits is 2, last in the row.
14. 0
Stems run from 1 to 5, 5 of them with data; the rest are written too, with empty rows: 0.
15. C
Tens digit the stem, units the leaf; 8 values make 8 leaves, each row in order.
16. False
The last row is the greatest value's stem: the greatest is 71, stem 7.
17. 7
Stem 7's leaves are 8, 5, 7; in order 5, 7, 8; the 2nd is 7.
18. 3, 7
3 values have tens digit 5; the largest of their units digits is 7, last in the row.

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