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Primary 6 PSLE Mathematics Data Analysis Quiz
Free P6 PSLE Maths Data Analysis quiz, LongCat Exam version, with questions, answers, and PSLE-focused practice for Singapore students.
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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).