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Primary 6 PSLE Mathematics Data Analysis Quiz
Free Exam-Derived Owl Alpha Primary 6 PSLE Mathematics Data Analysis quiz with questions and answers for Singapore students. This page is rendered as a direct URL so the questions and answers can be discovered without pressing in-page buttons.
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Questions
Primary 6 PSLE Mathematics Quiz - Data Analysis
Name: ________________________
Class: ________________________
Date: ________________________
Score: ________ / 40
Duration: 50 minutes
Total Marks: 40
Instructions
- Answer all questions.
- Show your working clearly in the space provided.
- Calculators are not allowed.
- Read each question carefully before answering.
Section A: Data Interpretation (1 mark each) [5 marks]
Questions 1–5 are based on the bar graph below.
The bar graph shows the number of books read by 5 students in a reading programme.
Number of Books Read by Students
Books
30 |
25 | ██
20 | ██ ██
15 | ██ ██ ██
10 | ██ ██ ██
5 | ██ ██ ██
0 |____██____██____██____██____██____
Ali Ben Cara Dan Eve
1. How many books did Ben read?
Answer: ________ books
2. Who read the most books?
Answer: ________
3. How many more books did Cara read than Dan?
Answer: ________ books
4. What is the total number of books read by all 5 students?
Answer: ________ books
5. What is the average number of books read per student?
Answer: ________ books
Section B: Table and Chart Interpretation [10 marks]
Questions 6–10 are based on the table below.
The table shows the favourite fruits of 60 Primary 6 students.
| Fruit | Apple | Banana | Orange | Mango | Grape |
|---|---|---|---|---|---|
| Number of Students | 12 | 18 | 15 | 9 | 6 |
6. Draw a bar graph to represent the information. Use the grid provided below.
Students
20 |
18 |
16 |
14 |
12 |
10 |
8 |
6 |
4 |
2 |
0 |________________________________________
Apple Banana Orange Mango Grape
7. What fraction of the students chose Banana as their favourite fruit? Give your answer in its simplest form.
Answer: ________
8. What percentage of the students chose Orange?
Answer: ________%
9. How many more students chose Banana than Grape?
Answer: ________ students
10. If the data is represented in a pie chart, what would be the angle for the Apple sector?
Answer: ________°
Section C: Mean, Median, Mode, and Range [10 marks]
Questions 11–15 are based on the following data set.
The scores of 6 students in a Mathematics quiz are:
85, 92, 78, 85, 90, 88
11. Find the mean score.
Answer: ________
12. Find the median score.
Answer: ________
13. What is the mode of the scores?
Answer: ________
14. What is the range of the scores?
Answer: ________
15. The mean of five numbers is 24. Four of the numbers are 18, 22, 30, and 26. Find the fifth number.
Answer: ________
Section D: Data Analysis Word Problems [15 marks]
Questions 16–18 are based on the line graph below.
The line graph shows the number of visitors to a library over 6 days.
Visitors
500 | ●
450 | ●
400 | ●
350 | ●
300 | ●
250 | ●
200 |________________________________________
Mon Tue Wed Thu Fri Sat
16. How many visitors were there on Wednesday?
Answer: ________ visitors
17. On which day were there the most visitors?
Answer: ________
18. What was the total number of visitors over the 6 days?
Answer: ________ visitors
19. A group of 8 students took a spelling test. Their scores (out of 20) were:
14, 18, 12, 16, 15, 18, 17, 16
(a) Arrange the scores in ascending order. (1 mark)
Answer: ________________________________
(b) Find the median score. (2 marks)
Answer: ________
(c) Find the mean score. (2 marks)
Answer: ________
(d) Which measure of central tendency (mean, median, or mode) best represents this data set? Give a reason. (1 mark)
Answer: ________
20. The table below shows the number of goals scored by 5 football teams in a tournament.
| Team | A | B | C | D | E |
|---|---|---|---|---|---|
| Goals | 7 | 12 | 9 | 15 | 7 |
(a) Find the mean number of goals scored. (2 marks)
Answer: ________
(b) Find the median number of goals scored. (1 mark)
Answer: ________
(c) What is the mode of the goals scored? (1 mark)
Answer: ________
(d) Which team scored the most goals? (1 mark)
Answer: ________
— End of Quiz —
Answers
Primary 6 PSLE Mathematics Quiz - Data Analysis
Answer Key
Section A: Data Interpretation [5 marks]
1. 20 books
Working: Read the height of Ben's bar from the graph — it reaches 20.
2. Ben
Working: Ben's bar is the tallest at 20 books.
3. 5 books
Working: Cara = 15, Dan = 10. 15 − 10 = 5.
4. 70 books
Working: 10 + 20 + 15 + 10 + 15 = 70.
5. 14 books
Working: Mean = Total ÷ Number of students = 70 ÷ 5 = 14.
Section B: Table and Chart Interpretation [10 marks]
6. Bar graph drawn with correct heights:
- Apple: 12
- Banana: 18
- Orange: 15
- Mango: 9
- Grape: 6
Marking: 1 mark for correct scale, 1 mark for correct bar heights, 1 mark for labels.
7. 3/10
Working: 18/60 = 3/10 (simplified by dividing numerator and denominator by 6).
8. 25%
Working: (15 ÷ 60) × 100% = 25%.
9. 12 students
Working: 18 − 6 = 12.
10. 72°
Working: (12 ÷ 60) × 360° = 72°.
Section C: Mean, Median, Mode, and Range [10 marks]
11. Mean = 86⅓ (or 86.3)
Working: (85 + 92 + 78 + 85 + 90 + 88) ÷ 6 = 518 ÷ 6 = 86⅓ ≈ 86.3
12. Median = 86.5
Working: Arrange in order: 78, 85, 85, 88, 90, 92. Middle two are 85 and 88. Median = (85 + 88) ÷ 2 = 86.5.
13. Mode = 85
Working: 85 appears twice, more than any other score.
14. Range = 14
Working: Highest − Lowest = 92 − 78 = 14.
15. Fifth number = 24
Working: Sum of five numbers = 24 × 5 = 120. Sum of known four = 18 + 22 + 30 + 26 = 96. Fifth number = 120 − 96 = 24.
Section D: Data Analysis Word Problems [15 marks]
16. 350 visitors
Working: Read from the graph at Wednesday — the point is at 350.
17. Saturday
Working: Saturday has the highest point on the graph.
18. 2250 visitors
Working: 250 + 300 + 350 + 400 + 450 + 500 = 2250.
Note: Values read from the graph. Accept 2200–2300 depending on reading accuracy.
19.
(a) 12, 14, 15, 16, 16, 17, 18, 18
Working: Arrange from smallest to largest.
(b) Median = 16
Working: 8 values (even number). Middle two are the 4th and 5th values: 16 and 16. Median = (16 + 16) ÷ 2 = 16.
(c) Mean = 15.75
Working: Sum = 14 + 18 + 12 + 16 + 15 + 18 + 17 + 16 = 126. Mean = 126 ÷ 8 = 15.75.
(d) Median (or Mode = 16)
Reason: The median is not affected by extreme values and represents the middle of the data. Alternatively, the mode (16) appears twice and is close to the mean, making it a good representative value.
Accept any valid measure with a reasonable justification.
20.
(a) Mean = 10
Working: Sum = 7 + 12 + 9 + 15 + 7 = 50. Mean = 50 ÷ 5 = 10.
(b) Median = 9
Working: Arrange in order: 7, 7, 9, 12, 15. Middle value (3rd) = 9.
(c) Mode = 7
Working: 7 appears twice, more than any other value.
(d) Team D
Working: Team D scored 15 goals, which is the highest.
Marking Notes
- For questions requiring working, award method marks even if the final answer is incorrect due to arithmetic errors.
- Accept equivalent fractions and rounded answers where appropriate.
- For graph questions, allow a small tolerance in reading values (±5 for line graphs).