Data and probability · Ages 12–13
Organising data & statistical charts worksheet
Covers: Kinds of data, Frequency tables, Class limits, boundaries and marks, Grouped frequency tables, Stem-and-leaf diagrams, Histograms, Drawing stem-and-leaf diagrams and histograms, What the diagrams tell us, Back-to-back stem-and-leaf diagrams, Compound bar charts
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Organising data & statistical charts worksheet
Data and probability · Ages 12–13
Numsprite
numsprite.com
Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.Weights are measured to the nearest kg. A weight recorded as 34 kg is really at least kg.
Answer:
2.A 100 m time is measured to the nearest 0.1 s and recorded as 18.5 s. The real time is from s up to s (not including the second).
Fill in each blank
Answer:
3.Chi-keung asks 25 families how many televisions they have (the left column is televisions, the right families). What percentage of the families have at least 2?
Answer:
4.The table shows how many books each member of a book club read in a week (the left column is books, the right members). How many books did the club read altogether?
Answer:
5.The data are grouped as 4–7, 8–11, 12–15. The class width is .
Answer:
6.The stem-and-leaf diagram shows a team's scores. What is the highest score?
Answer:
7.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:
8.The compound bar chart shows how many boxes of ice cream Shop A and Shop B sold in four months. How many did Shop A sell in May?
Answer:
Part B: Choose, or true or false (2 marks each)
9.A set of data runs from 46 to 77. Grouping them in classes of width 10, which grouping is suitable?
- A. 40–49、50–59、60–69、70–79
- B. 50–59、60–69、70–79、80–89
- C. 40–50、50–60、60–70、70–80
- D. 40–48、50–58、60–68、70–78
Choose the right answer
Answer:
10.The histogram shows a team's heights in cm. Which class has the most players?
- A. 150–154
- B. 155–159
- C. 140–144
- D. 145–149
Choose the right answer
Answer:
11.Here are 8 players' heights in cm: 171, 150, 152, 147, 178, 177, 166, 154. 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.The stem-and-leaf diagram shows a team's scores. At least one player scored 52 or more.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.Ming writes four questions for the club committee. Which one collects continuous data?
- A. Which sport do you like best?
- B. How many brothers and sisters do you have?
- C. How long do you spend reading each day?
- D. How many books did you read last week?
Choose the right answer
Working:
Answer:
14.The table shows how many books each member of a book club read in a week (the left column is books, the right members). Tsz-ching says, 'There are 11 more members who read 3 or more than who read none.' Tsz-ching is right.
True or false?
Working:
Answer:
15.The histogram shows a team's scores. The class 70–79 has more players than 90–99; together they have .
Fill in each blank
Working:
Answer:
16.May groups these 10 values as 20–29, 30–39, 40–49, 50–59 and draws a histogram: 58, 45, 41, 25, 51, 44, 37, 53, 50, 23. How tall is the tallest bar?
Working:
Answer:
17.The histogram shows 40 players' scores. scored 50 or more, which is % of them.
Fill in each blank
Working:
Answer:
18.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 40 or more?
Working:
Answer:
Show the answers and working
Organising data & statistical charts worksheet: Answers and working
Part A: Working out and filling in
1. 33.5
Weight is continuous, rounded to the nearest kg before it is recorded, so it may really be up to 0.5 kg less: 34 − 0.5 = 33.5.
2. 18.45, 18.55
To the nearest 0.1 s, the real time is within 0.05 s of the record: 18.5 − 0.05 = 18.45, 18.5 + 0.05 = 18.55.
3. 32%
At least 2: 1 + 7 = 8 families; 8 ÷ 25 × 100% = 32%.
4. 73
Multiply each value by its frequency and add: 0 × 11 + 1 × 1 + 2 × 6 + 3 × 12 + 4 × 6 = 73.
5. 4
Take one class's lower limit from the next one's: 8 − 4 = 4. Careful: 7 − 4 = 3 is not the width, as 4 to 7 takes in 4 whole numbers.
6. 68
The highest is the last leaf in the last row: 68.
7. 65
Team B is on the right: the last row's outermost leaf, read stem then leaf: 65.
8. 400
The key shows Shop A as the first bar. In May its top is level with 400.
Part B: Choose, or true or false
9. A. 40–49、50–59、60–69、70–79
Classes must run from small to large, not overlap, leave no gaps, and take in all the data from 46 to 77: 40–49, 50–59, 60–69, 70–79.
10. D. 145–149
The tallest bar stands for 12 players: see which class it is.
11. B
152 has stem 15 and leaf 2. 8 values make 8 leaves, each beside its stem, each row in order.
12. True
The highest score is 55. Someone scored 52 or more only if 52 is no more than 55.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. C. How long do you spend reading each day?
Time is measured and can be 45 minutes, 45.5 minutes, any value: continuous data.
14. True
3 or more: 4 + 12 = 16; none: 5 (the 7 with 1 and 12 with 2 don't count). 16 − 5 = 11.
15. 3, 5
70–79 has 4, 90–99 has 1: 4 − 1 = 3, 4 + 1 = 5.
16. 4
The classes' frequencies are 2, 1, 3, 4; the tallest bar is the greatest, 4.
17. 19, 47.5
50 or more: the bars from 50 on, 19; 19 ÷ 40 × 100% = 47.5%.
18. 20
From stem 4 on: 10 leaves left, 10 right, 20 together.
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