Data and probability · Ages 14–15
Choosing a statistical chart worksheet
Part of: Cumulative frequency & charts
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Choosing a statistical chart worksheet
Data and probability · Ages 14–15
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.
Part A: Choose, or true or false (2 marks each)
1.Chi-keung records how a month's pocket money is split between food, travel, fun and savings, and wants to show each one's share of the whole. Which chart suits it best?
- A. A frequency polygon
- B. A pie chart
- C. A histogram
- D. A line graph
Choose the right answer
Answer:
2.Ka-yan wants to show how Hong Kong's mean temperature changes month by month over a year. Which chart suits it best?
- A. A cumulative frequency polygon
- B. A stem-and-leaf diagram
- C. A line graph
- D. A pie chart
Choose the right answer
Answer:
3.Tsz-hin records how a month's pocket money is split between food, travel, fun and savings, and wants to show each one's share of the whole. Which chart suits it best?
- A. A line graph
- B. A pie chart
- C. A histogram
- D. A frequency polygon
Choose the right answer
Answer:
4.In a survey, each person chose one of four answers, chosen by 37%, 22%, 15% and 26% of people. These figures can be drawn as a pie chart.
True or false?
Answer:
5.An online poll asked 108 people which of football, basketball, swimming and badminton they like best, to compare how many chose each. Which chart suits it best?
- A. A bar chart
- B. A line graph
- C. A histogram
- D. A cumulative frequency polygon
Choose the right answer
Answer:
6.Ming records 25 teammates' long jumps (cm) and wants to show how they spread out while keeping every exact value. Which chart suits it best?
- A. A pie chart
- B. A line graph
- C. A stem-and-leaf diagram
- D. A histogram
Choose the right answer
Answer:
7.An online poll asked 329 people which of football, basketball, swimming and badminton they like best, to compare how many chose each. Which chart suits it best?
- A. A bar chart
- B. A line graph
- C. A histogram
- D. A cumulative frequency polygon
Choose the right answer
Answer:
8.Ming records 28 teammates' long jumps (cm) and wants to show how they spread out while keeping every exact value. Which chart suits it best?
- A. A pie chart
- B. A histogram
- C. A line graph
- D. A stem-and-leaf diagram
Choose the right answer
Answer:
9.In a survey, each person chose one of four answers, chosen by 31%, 14%, 13% and 37% of people. These figures can be drawn as a pie chart.
True or false?
Answer:
10.A survey asked 274 people which kinds of transport they take on weekdays, each free to choose more than one: the MTR, buses, minibuses and ferries were chosen by 47%, 34%, 39% and 25% of them. To compare how many chose each, which chart suits it best?
- A. A histogram
- B. A line graph
- C. A bar chart
- D. A pie chart
Choose the right answer
Answer:
11.A courier wants customers to see at a glance how many parcels arrive within 39 minutes, and to read off the number within any other time too. Which chart suits it best?
- A. A bar chart
- B. A cumulative frequency polygon
- C. A frequency polygon
- D. A pie chart
Choose the right answer
Answer:
12.A courier wants customers to see at a glance how many parcels arrive within 22 minutes, and to read off the number within any other time too. Which chart suits it best?
- A. A pie chart
- B. A frequency polygon
- C. A cumulative frequency polygon
- D. A bar chart
Choose the right answer
Answer:
Part B: Word problems (4 marks each)
13.A florist draws a pie chart of four kinds of flower sold, its sectors' angles 139°, 48°, 82° and 111°. The pie chart is drawn correctly.
True or false?
Working:
Answer:
14.825 runners finished a marathon. The organisers want runners to read off how many finished within any given time. Which chart suits it best?
- A. A bar chart
- B. A cumulative frequency polygon
- C. A stem-and-leaf diagram
- D. A pie chart
Choose the right answer
Working:
Answer:
15.A chain wants to compare how 3 branches' monthly takings rose and fell over the past year. Which chart suits it best?
- A. A histogram
- B. A stem-and-leaf diagram
- C. A pie chart for each branch
- D. A line graph with each branch's line on it
Choose the right answer
Working:
Answer:
16.A hiking club has 63 members and a rowing club 54. The aim is to compare how the two clubs' ages are spread. Which chart suits it best?
- A. A bar chart, one bar per club
- B. Two frequency polygons on one chart
- C. A line graph
- D. Two pie charts
Choose the right answer
Working:
Answer:
17.A chain wants to compare how 2 branches' monthly takings rose and fell over the past year. Which chart suits it best?
- A. A stem-and-leaf diagram
- B. A pie chart for each branch
- C. A histogram
- D. A line graph with each branch's line on it
Choose the right answer
Working:
Answer:
18.A hiking club has 78 members and a rowing club 78. The aim is to compare how the two clubs' ages are spread. Which chart suits it best?
- A. A line graph
- B. A bar chart, one bar per club
- C. Two frequency polygons on one chart
- D. Two pie charts
Choose the right answer
Working:
Answer:
Show the answers and working
Choosing a statistical chart worksheet: Answers and working
Part A: Choose, or true or false
1. B. A pie chart
The parts make one whole (all the pocket money), and shares of a whole call for a pie chart.
2. C. A line graph
For change over time a line graph is clearest: a point a month, joined to show the rises and falls.
3. B. A pie chart
The parts make one whole (all the pocket money), and shares of a whole call for a pie chart.
4. True
A pie chart's parts must make the whole, 100%: 37 + 22 + 15 + 26 = 100.
5. A. A bar chart
Comparing amounts in categories is a bar chart's job: a bar each, compared at a glance.
6. C. A stem-and-leaf diagram
A stem-and-leaf diagram shows the spread, and every leaf is an exact value.
7. A. A bar chart
Comparing amounts in categories is a bar chart's job: a bar each, compared at a glance.
8. D. A stem-and-leaf diagram
A stem-and-leaf diagram shows the spread, and every leaf is an exact value.
9. False
A pie chart's parts must make the whole, 100%: 31 + 14 + 13 + 37 = 95.
10. C. A bar chart
The percentages add up to 145%, not one whole split into parts, so no pie chart; comparing the numbers in categories is a bar chart's job.
11. B. A cumulative frequency polygon
'How many below a value' is a cumulative frequency, and the polygon gives it at any value.
12. C. A cumulative frequency polygon
'How many below a value' is a cumulative frequency, and the polygon gives it at any value.
Part B: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. False
A pie chart's angles must make 360°: 139 + 48 + 82 + 111 = 380.
14. B. A cumulative frequency polygon
'How many finished within a time' is a cumulative frequency, readable at any time on the polygon.
15. D. A line graph with each branch's line on it
Change over time is a line graph's job; several lines on one chart compare the rises and falls.
16. B. Two frequency polygons on one chart
Two frequency polygons fit on one chart without hiding each other: the clearest way to compare two spreads.
17. D. A line graph with each branch's line on it
Change over time is a line graph's job; several lines on one chart compare the rises and falls.
18. C. Two frequency polygons on one chart
Two frequency polygons fit on one chart without hiding each other: the clearest way to compare two spreads.
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