Primary 5 Mathematics Data Analysis Quiz

P5 Maths Quiz: Data Analysis

Questions: 20 Time: 35 minutes Total Marks: 50

Section A: Multiple Choice (10 marks)

Choose the best answer. [2 marks each]

Use the bar chart below for Questions 1-2: Favourite Fruits Survey (Number of students)

• Apple: 12
• Orange: 18
• Banana: 15
• Grapes: 9

1. Which fruit is most popular?

   • A) Apple
   • B) Orange
   • C) Banana
   • D) Grapes

2. How many more students chose oranges than grapes?

   • A) 6
   • B) 9
   • C) 15
   • D) 18

3. The average of 8, 12, 16 and 20 is:

   • A) 12
   • B) 14
   • C) 16
   • D) 18

4. In a line graph, what does the x-axis usually represent?

   • A) Frequency
   • B) Time or categories
   • C) Height
   • D) Width

5. The mode of the data set 5, 7, 5, 9, 6, 5, 8 is:

   • A) 5
   • B) 6
   • C) 7
   • D) 8

Section B: Short Answer (20 marks)

Show your working clearly. [4 marks each]

6. The table shows the number of books read by students:

   Books	0-2	3-5	6-8	9-11	12-14
   Students	4	8	12	5	1

   a) How many students were surveyed? b) Which range is the modal class?

7. Find the average (mean) of these test scores: 78, 85, 92, 68, 77, 90, 84

8. The pie chart shows how Sarah spends her $20 pocket money:

   • Snacks: 45%
   • Books: 30%
   • Games: 15%
   • Savings: 10%

   How much does she spend on each category?

9. Create a frequency table for this data: Shoe sizes: 5, 6, 7, 5, 8, 6, 7, 5, 9, 6, 7, 8, 6

10. The temperatures (°C) for a week were: 28, 31, 29, 33, 30, 32, 28 Find: a) The range b) The median

Section C: Word Problems (20 marks)

Use charts or show your working clearly. [5 marks each]

11. School Survey Problem A survey of 60 students asked about their favourite subject:

    • Mathematics: 18 students
    • Science: 15 students
    • English: 12 students
    • Others: 15 students

    Draw a bar chart and find what percentage of students chose Mathematics.

12. Sales Data Problem A shop's daily sales for a week: Mon: $450, Tue:$520, Wed: $480, Thu:$600, Fri: $750, Sat:$850, Sun: $350

    a) What is the average daily sales? b) Which day had the highest sales? c) What is the difference between the highest and lowest sales?

13. Sports Club Problem The line graph shows membership growth: Jan: 20, Feb: 25, Mar: 30, Apr: 28, May: 35, Jun: 40

    a) In which month did membership decrease? b) What is the total increase from January to June? c) What is the average monthly membership?

14. Test Results Analysis Class 5A test scores: 75, 80, 65, 90, 85, 70, 95, 80, 75, 85 Class 5B test scores: 78, 82, 88, 72, 76, 84, 90, 74, 80, 86

    a) Find the average score for each class b) Find the range for each class c) Which class performed better overall?

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End of Quiz

*Remember:

• Mean = Sum ÷ Number of values
• Mode = Most frequent value
• Median = Middle value when arranged in order
• Range = Highest - Lowest value*

P5 Maths Quiz: Data Analysis - ANSWERS

Questions: 20 Time: 35 minutes Total Marks: 50

Section A: Multiple Choice (10 marks)

[2 marks each]

1. B) Orange

   • Orange has 18 students, the highest number

2. B) 9

   • Oranges: 18, Grapes: 9
   • Difference = 18 - 9 = 9

3. B) 14

   • Average = (8 + 12 + 16 + 20) ÷ 4 = 56 ÷ 4 = 14

4. B) Time or categories

   • X-axis typically shows the independent variable (time/categories)

5. A) 5

   • 5 appears 3 times (most frequent)

Section B: Short Answer (20 marks)

[4 marks each]

6. Books survey: a) 30 students surveyed Working: 4 + 8 + 12 + 5 + 1 = 30

   b) 6-8 books range (modal class) This range has 12 students (highest frequency)

7. Average test score = 82 Working: Sum = 78 + 85 + 92 + 68 + 77 + 90 + 84 = 574 Average = 574 ÷ 7 = 82

8. Pocket money spending:

   • **Snacks: $9** (45$20 = $9)
   • **Books: $6** (30$20 = $6)
   • **Games: $3** (15$20 = $3)
   • **Savings: $2** (10$20 = $2)

9. Shoe sizes frequency table:

   Size	Frequency
   5	3
   6	4
   7	3
   8	2
   9	1

10. Temperature analysis: a) Range = 5°C Working: 33 - 28 = 5°C

    b) Median = 30°C Working: Arranged order: 28, 28, 29, 30, 31, 32, 33 Middle value = 30°C

Section C: Word Problems (20 marks)

[5 marks each]

11. Subject survey: Bar chart: [Students would draw bars with heights: Math-18, Science-15, English-12, Others-15]

    Percentage who chose Mathematics = 30% Working: (18 ÷ 60) × 100% = 30%

12. Sales analysis: a) **Average daily sales = $571.43** Working: (450+520+480+600+750+850+350) ÷ 7 =$571.43

    b) Saturday had highest sales ($850)

    c) **Difference = $500** Working:$850 - $350 =$500

13. Sports club membership: a) April (membership decreased from 30 to 28)

    b) Total increase = 20 members Working: 40 - 20 = 20 members

    c) Average monthly membership = 29.67 Working: (20+25+30+28+35+40) ÷ 6 = 29.67

14. Test results comparison: a) Class averages:

    • Class 5A: (75+80+65+90+85+70+95+80+75+85) ÷ 10 = 80
    • Class 5B: (78+82+88+72+76+84+90+74+80+86) ÷ 10 = 81

    b) Ranges:

    • Class 5A: 95 - 65 = 30
    • Class 5B: 90 - 72 = 18

    c) Class 5B performed better (higher average: 81 vs 80, smaller range: 18 vs 30 shows more consistent performance)

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End of Answers

Data Analysis Key Terms:

• Mean (Average) = Sum of all values ÷ Number of values
• Mode = Most frequently occurring value
• Median = Middle value when data is arranged in order
• Range = Highest value - Lowest value