Primary 4 Mathematics Data Analysis Quiz

P4 Maths Quiz: Data Analysis - Answer Key

Questions: 20
Time: 30 minutes
Total Marks: 40

Section A: Multiple Choice Questions (10 marks)

Questions 1-3 based on bar graph:

1. How many students chose oranges as their favourite fruit? (2 marks)

Answer: (3) 12

Explanation: Reading directly from the bar graph, the bar for oranges reaches 12 on the y-axis.

2. Which fruit was chosen by the fewest students? (2 marks)

Answer: (4) Grapes

Explanation: Comparing all bars: Apples (8), Oranges (12), Bananas (6), Grapes (4). Grapes has the shortest bar.

3. How many more students chose apples than grapes? (2 marks)

Answer: (2) 4

Explanation: Apples: 8 students, Grapes: 4 students. Difference: 8 - 4 = 4 students.

4. Ahmad's test scores are 78, 85, 82, 95. What is his average score? (2 marks)

Answer: (3) 85

Explanation: Average = (78 + 85 + 82 + 95) ÷ 4 = 340 ÷ 4 = 85

5. The ages of 5 children are: 9, 8, 10, 8, 11. What is the mode? (2 marks)

Answer: (1) 8

Explanation: The mode is the number that appears most frequently. 8 appears twice, all others appear once.

Section B: Short Answer Questions (15 marks)

6. Answer these questions about the table: (3 marks)

(a) How many students have exactly 1 pet? 8

(b) How many students have more than 1 pet? 11 Working: 6 + 3 + 2 = 11

(c) How many students were surveyed in total? 24 Working: 5 + 8 + 6 + 3 + 2 = 24

7. Find the average (mean) of these numbers: (3 marks)

(a) 4, 6, 8, 10, 12 Average = 8 Working: (4 + 6 + 8 + 10 + 12) ÷ 5 = 40 ÷ 5 = 8

(b) 15, 20, 25, 20, 20 Average = 20 Working: (15 + 20 + 25 + 20 + 20) ÷ 5 = 100 ÷ 5 = 20

(c) 7, 9, 5, 11, 8 Average = 8 Working: (7 + 9 + 5 + 11 + 8) ÷ 5 = 40 ÷ 5 = 8

8. Find the median of these sets of numbers: (3 marks)

(a) 3, 7, 5, 9, 1 Median = 5 Working: Arranged in order: 1, 3, 5, 7, 9. Middle value = 5

(b) 12, 8, 15, 10, 6, 14 Median = 11 Working: Arranged in order: 6, 8, 10, 12, 14, 15. Middle values: 10 and 12. Median = (10 + 12) ÷ 2 = 11

(c) 20, 18, 22, 19, 21, 17, 23 Median = 20 Working: Arranged in order: 17, 18, 19, 20, 21, 22, 23. Middle value = 20

9. Complete this pictograph: (3 marks)

If 25 books were read in Week 4, how many symbols should be drawn? 5

Working: Each symbol = 5 books, so 25 ÷ 5 = 5 symbols

10. Look at this line graph and answer: (3 marks)

(a) What was the highest temperature? 35°C

(b) At what time was the temperature 26°C? 9am

(c) By how much did the temperature increase from 9am to 12pm? 6°C Working: 32°C - 26°C = 6°C

Section C: Word Problems (15 marks)

11. The pie chart shows how Siti spent her $20 pocket money: (4 marks)

(a) How much money did Siti spend on food?

Working: Food = 1/4 of $20 = 1/4 × 20 =$5

Answer: $5

(b) How much money did Siti save?

Working: Food: 1/4, Books: 1/5, Games: 1/10 Find common denominator (LCM of 4, 5, 10 = 20): Food: 5/20, Books: 4/20, Games: 2/20 Total spent: 5/20 + 4/20 + 2/20 = 11/20 Savings: 1 - 11/20 = 9/20 9/20 of $20 = 9/20 × 20 =$9

Answer: $9

12. A class recorded the number of rainy days each month: (5 marks)

(a) What was the average number of rainy days per month?

Working: Total rainy days = 12 + 8 + 6 + 10 + 15 + 18 = 69 Average = 69 ÷ 6 = 11.5

Answer: 11.5 days

(b) Which month had the most rainy days?

Answer: June

(c) How many more rainy days were there in May than in March?

Working: May: 15 days, March: 6 days Difference: 15 - 6 = 9 days

Answer: 9 days

13. Ali recorded the heights of 7 plants in his garden: 45cm, 52cm, 38cm, 45cm, 60cm, 41cm, 49cm (3 marks)

(a) Find the mode of these heights.

Answer: 45 cm Explanation: 45cm appears twice, all others appear once.

(b) Find the median height.

Working: Arranged in order: 38, 41, 45, 45, 49, 52, 60 With 7 numbers, median is the 4th number.

Answer: 45 cm

14. A survey asked 40 students about their favourite subject. Draw a simple bar graph: (3 marks)

Answer: Graph should show:

• Maths: bar reaching 12
• Science: bar reaching 10
• English: bar reaching 8
• Art: bar reaching 6
• PE: bar reaching 4

Marking criteria:

• Correct scale and labels (1 mark)
• Accurate bar heights (1 mark)
• Neat presentation with title (1 mark)

Total Marks: 40

Grade Boundaries:

• A: 36-40 marks (90-100%)
• B: 32-35 marks (80-89%)
• C: 28-31 marks (70-79%)
• D: 24-27 marks (60-69%)
• Below 24 marks: Needs improvement

Common Mistakes to Watch For:

1. Reading graphs incorrectly (not looking at the scale)
2. Confusing mean, median, and mode
3. Forgetting to arrange numbers in order before finding median
4. Addition errors when calculating averages
5. Not reading pie chart fractions carefully
6. Forgetting to include all categories when adding totals