Data and probability · Ages 12–13

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.The stem-and-leaf diagram shows a team's scores. How many data are there?
Answer:
2.The stem-and-leaf diagram shows how many sit-ups each player of a team did in a minute. What is the fewest?
Answer:
3.The stem-and-leaf diagram shows a team's scores. What is the highest score?
Answer:
4.The stem-and-leaf diagram shows a team's scores. Stem 4's row has values; the highest and lowest scores differ by .
Fill in each blank
Answer:
5.The stem-and-leaf diagram shows a team's scores. How many scored 40 or more?
Answer:
6.The stem-and-leaf diagram shows a team's scores. How many scored 50 or more?
Answer:
7.The stem-and-leaf diagram shows a team's scores. What is the 4th highest score?
Answer:
8.The stem-and-leaf diagram shows a team's scores. What is the 5th lowest score?
Answer:
9.The stem-and-leaf diagram shows a team's scores. What is the 2nd highest score?
Answer:

10.The stem-and-leaf diagram shows a team's scores. More than half the team scored above 55.
True or false?
Answer:
11.The stem-and-leaf diagram shows a team's scores. Which of these scores is not in it?
- A. 57
- B. 43
- C. 50
- D. 41
Choose the right answer
Answer:
12.The stem-and-leaf diagram shows a team's scores. More than half the team scored above 51.
True or false?
Answer:

13.The stem-and-leaf diagram shows a team's scores. The best 3 win a prize (say no two tie). What is the lowest score among the winners?
Working:
Answer:
14.The stem-and-leaf diagram shows how many push-ups each player of a team did in a minute. The most is , the fewest , a difference of .
Fill in each blank
Working:
Answer:
15.The stem-and-leaf diagram shows a team's scores. How many scored between 31 and 44, both included?
Working:
Answer:
16.The stem-and-leaf diagram shows the scores of 20 players in Chi-keung's team; the target score is 40. What percentage of the team reached it?
Working:
Answer:
17.The stem-and-leaf diagram shows a team's scores. May says, '2 players scored under 40.' May is right.
True or false?
Working:
Answer:
18.The stem-and-leaf diagram shows a team's scores. Later Ka-yee and another player join in and score 50 and 74, added to the diagram. It now holds values, and the highest is .
Fill in each blank
Working:
Answer:

Show the answers and working

Stem-and-leaf diagrams worksheet: Answers and working

1. 14
Each leaf is one value: count the leaves, 14 of them.
2. 25
Of the 10 values, the least is the first leaf in the first row: 25.
3. 73
The highest is the last leaf in the last row: 73.
4. 5, 15
Count the leaves in stem 4's row: 5. Highest 46, lowest 31: 46 − 31 = 15.
5. 7
40 or more is every leaf in the row of 40's tens digit and after: 7 leaves.
6. 10
50 or more is every leaf in the row of 50's tens digit and after: 10 leaves.
7. 54
Count back 4 from the last leaf of the last row: 54.
8. 51
The 14 leaves are in order: count 5 from the first leaf of the first row, and it is 51.
9. 64
Count back 2 from the last leaf of the last row: 64.

10. True
8 scored above 55; the team has 13, half of which is 6.5. Compare 8 with 6.5.
11. B. 43
Split 43 into stem and leaf: that leaf isn't in that row, so it isn't among the diagram's 11 values.
12. False
3 scored above 51; the team has 11, half of which is 5.5. Compare 3 with 5.5.

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

13. 61
Count back 3 from the last leaf of the last row: the 3rd highest score is 61.
14. 38, 24, 14
Most: the last leaf of the last row, 38; fewest: the first leaf of the first row, 24; 38 − 24 = 14.
15. 6
Count the leaves from 31 to 44, both ends included: 6.
16. 95%
19 scored 40 or more: 19 ÷ 20 × 100% = 95%.
17. True
Under 40: count the leaves before 40's row, 2 of them.
18. 15, 74
13 values and 2 more: 15. The highest was 65; against 50 and 74, the highest is 74.

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