Data and probability · Ages 12–13

Back-to-back stem-and-leaf diagrams worksheet

Part of: Organising data & statistical charts

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Data and probability · Ages 12–13

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

1.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). What is team A's lowest score?
Answer:
2.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). What is team B's highest score?
Answer:
3.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). Scoring 40 or more: team A , team B .
Fill in each blank
Answer:
4.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). How many in team A scored 57 or more?
Answer:
5.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). How many in team A scored 43 or more?
Answer:
6.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). Scoring 60 or more: team A , team B .
Fill in each blank
Answer:
7.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). How many in team A scored 53 or more?
Answer:
8.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). By how much do the two teams' highest scores differ?
Answer:

9.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). Team A's highest score is above team B's.
True or false?
Answer:
10.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). Which team has more players scoring 40 or more?
- A. Can't be told
- B. Team A
- C. Team B
- D. The same in both
Choose the right answer
Answer:
11.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). Which team has more players scoring 60 or more?
- A. Can't be told
- B. The same in both
- C. Team B
- D. Team A
Choose the right answer
Answer:
12.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). What is team A's lowest score?
- A. 45
- B. 64
- C. 54
- D. 51
Choose the right answer
Answer:

13.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). By how much is team B's lowest above team A's?
Working:
Answer:
14.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). Ming says, 'Team A has 2 more players scoring 70 or more than team B.' Ming is right.
True or false?
Working:
Answer:
15.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). How many in the two teams together scored 50 or more?
Working:
Answer:
16.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). How many in team A scored more than team B's highest?
Working:
Answer:
17.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). What is team A's highest score?
- A. 68
- B. 61
- C. 16
- D. 58
Choose the right answer
Working:
Answer:
18.The back-to-back stem-and-leaf diagram shows 10 scores each from team A (left) and team B (right). Taking the two teams as one group of 20, the highest is and the lowest .
Fill in each blank
Working:
Answer:

Show the answers and working

Back-to-back stem-and-leaf diagrams worksheet: Answers and working

1. 43
Team A is on the left, leaves running out from the stem: the first row's leaf nearest the stem. The left side too reads stem, then leaf: 43.
2. 55
Team B is on the right: the last row's outermost leaf, read stem then leaf: 55.
3. 4, 10
Stem 4's row and those after: 4 leaves on the left, 10 on the right.
4. 4
Read the left side stem then leaf, and count the leaves for 57 or more: 4.
5. 8
Read the left side stem then leaf, and count the leaves for 43 or more: 8.
6. 3, 3
Stem 6's row and those after: 3 leaves on the left, 3 on the right.
7. 9
Read the left side stem then leaf, and count the leaves for 53 or more: 9.
8. 7
Team A's highest is 59, team B's 66: a difference of 7.

9. False
Team A's highest is 51 (the outermost leaf of the last row on the left); team B's is 62.
10. B. Team A
Count the leaves from stem 4 on: team A (left) 10, team B (right) 8.
11. C. Team B
Count the leaves from stem 6 on: team A (left) 0, team B (right) 5.
12. A. 45
Team A is on the left; the first row's leaf nearest the stem is the lowest, read stem then leaf: 45.

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

13. 1
Each side's lowest is the first row's leaf nearest the stem: A 49, B 50; 50 − 49 = 1.
14. True
70 or more: team A 2, team B 0, a difference of 2.
15. 11
From stem 5 on: 3 leaves left, 8 right, 11 together.
16. 3
Team B's highest is 52. In team A (the left, read stem then leaf), 3 scored above 52.
17. B. 61
Team A is on the left, leaves running outwards: the last row's leftmost leaf is the largest, read stem then leaf: 61.
18. 69, 35
Highest: 56 against 69, so 69; lowest: 35 against 46, so 35.

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