Data and probability · Ages 12–13

Histograms worksheet

Part of: Organising data & statistical charts

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Data and probability · Ages 12–13

Numsprite
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Name:Date:Score:／48

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

1.The histogram shows a team's scores. How many players are in the team?
Answer:
2.The histogram shows a team's scores. How many scored 50–59?
Answer:
3.A team of 42 players' scores are shown in the histogram, with one bar covered. How many players are in the covered class?
Answer:
4.The histogram shows a team's scores. How many scored 80 or more?
Answer:
5.The histogram shows a team's scores, its axis marked with class boundaries. The bar from 29.5 to 39.5 is the class –, with players.
Fill in each blank
Answer:
6.A team of 33 players' scores are shown in the histogram, with one bar covered. How many players are in the covered class?
Answer:
7.The histogram shows a team's scores, its axis marked with class marks; the class width is 10. The class with mark 44.5 has players, and its upper class limit is .
Fill in each blank
Answer:
8.The histogram shows the scores of a team of 25. What percentage of them scored 50 or more?
Answer:
9.The histogram shows the scores of a team of 25. What percentage of them scored 60 or more?
Answer:

10.The histogram shows a team's heights in cm. Which class has the most players?
- A. 145–149
- B. 155–159
- C. 140–144
- D. 150–154
Choose the right answer
Answer:
11.The histogram shows a team's scores, its axis marked with class boundaries. More players scored below 39.5 than above it.
True or false?
Answer:
12.The histogram shows a team's scores, its axis marked with class boundaries. More players scored below 49.5 than above it.
True or false?
Answer:

13.The histogram shows a team's scores. Ka-lok says, 'More players are in 60–69 than in 70–79.' Ka-lok is right.
True or false?
Working:
Answer:
14.The histogram shows 20 players' scores; the target score is 70. What percentage reached it?
Working:
Answer:
15.The histogram shows how many hours a week May's teammates spend online. Which class has the fewest players?
- A. 50–59
- B. 70–79
- C. 40–49
- D. 60–69
Choose the right answer
Working:
Answer:
16.The histogram shows the scores of Tsz-ching's team; the target score is 30. How many fell short of it?
Working:
Answer:
17.The histogram shows a team's scores. The class 80–89 has more players than 50–59; together they have .
Fill in each blank
Working:
Answer:
18.The histogram shows a team's scores, its axis marked with class marks; the width is 10. How many players are in the classes with mark 54.5 or more?
Working:
Answer:

Show the answers and working

Histograms worksheet: Answers and working

1. 45
The five bars' heights from 20 on, added: 13 + 4 + 8 + 8 + 12 = 45.
2. 13
Read across from the top of the 50–59 bar to the scale: 13.
3. 12
The covered bar is the class 60–69. The other bars add up to 30: 42 − 30 = 12.
4. 25
From the class starting at 80, add the heights of it and every bar after: 25.
5. 30, 39, 9
The whole numbers between the boundaries 29.5 and 39.5 run from 30 to 39; the bar is 9 tall.
6. 2
The covered bar is the class 20–29. The other bars add up to 31: 33 − 31 = 2.
7. 6, 49
The bar at mark 44.5 is 6 tall. With width 10 the boundaries are 44.5 ± 5, so the class ends at 44.5 + 5 and its upper limit is 49.
8. 28%
50 or more: 7 players; 7 ÷ 25 × 100% = 28%.
9. 84%
60 or more: 21 players; 21 ÷ 25 × 100% = 84%.

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

13. True
60–69 has 8; 70–79 has 7.
14. 50%
10 scored 70 or more: 10 ÷ 20 × 100% = 50%.
15. C. 40–49
The shortest bar stands for 3: see which class it is.
16. 2
Under 30 is every bar left of 30: their heights add up to 2.
17. 4, 24
80–89 has 14, 50–59 has 10: 14 − 10 = 4, 14 + 10 = 24.
18. 11
From the bar at mark 54.5, add its height and every bar's to the right: 11.

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