Primary 6 PSLE Mathematics Data Analysis Quiz Set 2

P6 Maths Quiz: Data Analysis

Questions: 20 Time: 40 minutes Total Marks: 30

Section A: Multiple Choice Questions (10 marks)

Choose the best answer for each question. Each question carries 1 mark.

1. Which graph is best for showing changes over time? a) Bar chart b) Pie chart c) Line graph d) Pictogram

2. The data set 4, 7, 9, 7, 5, 6, 7, 8 has a mode of: a) 4 b) 6 c) 7 d) 9

3. If the median of 5 numbers is 12, and they are arranged in order as: 8, 10, __, 14, 16, what is the missing number? a) 11 b) 12 c) 13 d) 15

4. The range of a data set tells us about its: a) Central tendency b) Average c) Spread d) Mode

5. In a frequency table, what does frequency mean? a) The data values b) How often each value occurs c) The average of the data d) The middle value

6. If 40% of a pie chart represents 80 students, how many students are there in total? a) 160 b) 200 c) 240 d) 320

7. The mean of 15, 20, 25, 30 is: a) 20 b) 22.5 c) 25 d) 30

8. In a stem-and-leaf plot, the stem represents: a) The ones digit b) The tens digit c) The frequency d) The range

9. Which measure of central tendency is the middle value when data is ordered? a) Mean b) Mode c) Median d) Range

10. A class survey shows: 12 students like pizza, 8 like burgers, and 5 like salad. What fraction of students like pizza? a) 12/25 b) 12/20 c) 12/8 d) 12/17

Section B: Short Answer Questions (10 marks)

Answer all questions. Show your working clearly.

11. The ages of children at a party are: 8, 9, 7, 10, 8, 6, 9, 8, 7, 10, 9, 8. Make a frequency table and find the mode. (4 marks)

12. A spinner has 5 equal sections colored: Red, Blue, Green, Yellow, Orange. If it's spun 50 times, predict how many times it will land on Blue. Explain your reasoning. (3 marks)

13. The following data shows the number of goals scored by a football team in 8 matches: 2, 0, 3, 1, 2, 4, 1, 3. Calculate the mean number of goals per match. (3 marks)

Section C: Problem Solving Questions (10 marks)

Answer all questions. Show your working clearly.

14. A survey asked 100 people about their favorite season. The results were:
    • Spring: 25 people
    • Summer: 35 people
    • Autumn: 20 people
    • Winter: 20 people

a) Draw a bar chart to represent this data. (3 marks) b) What percentage of people chose Summer? (1 mark) c) How many more people chose Summer than Winter? (1 mark)

15. The table shows the number of siblings students have:

Number of siblings	Frequency
0	6
1	10
2	8
3	4
4	2

a) How many students were surveyed? (1 mark) b) What is the mode? (1 mark) c) Calculate the mean number of siblings per student. (3 marks)

P6 Maths Quiz: Data Analysis - Answer Key

Section A: Multiple Choice Questions (10 marks)

1. c) 8

   • Mode is the most frequently occurring value
   • 8 appears 3 times, more than any other number

2. b) 5

   • Arrange in order: 2, 3, 4, 5, 7, 8, 9
   • Median is the middle value: 5

3. b) 9

   • Mean = (6 + 8 + 10 + 12) ÷ 4 = 36 ÷ 4 = 9

4. c) Mean

   • Mean is calculated using all values, so extreme values affect it most

5. b) The frequency

   • In a bar chart, height represents frequency or count

6. c) Sectors of a circle

   • Pie charts display data as sectors of a circle

7. b) 10

   • Range = highest value - lowest value = 25 - 15 = 10

8. b) 100

   • If mean = 20 and there are 5 numbers, sum = 20 × 5 = 100

9. b) Time

   • Line graphs typically show changes over time

10. d) Range

    • Range measures spread, not central tendency

Section B: Short Answer Questions (10 marks)

11. Mean = 85, Median = 86.5, Range = 20 (4 marks)

    • Arranged data: 75, 78, 80, 85, 87, 88, 92, 95
    • Mean = (75+78+80+85+87+88+92+95) ÷ 8 = 680 ÷ 8 = 85
    • Median = (85 + 88) ÷ 2 = 86.5
    • Range = 95 - 75 = 20

12. Mode = 1 pet, Median = 1 pet (3 marks)

    • Mode: 1 pet (15 families, highest frequency)
    • Total families = 8 + 15 + 12 + 6 + 2 = 43 families
    • Median position = 22nd family
    • Cumulative frequencies: 0 pets (8), 1 pet (23), so 22nd family has 1 pet
    • Median = 1 pet

13. 70 people chose Blue (3 marks)

    • 35% of 200 = 0.35 × 200 = 70 people

Section C: Problem Solving Questions (10 marks)

14. Books reading analysis (5 marks)

    a) 35 students (1 mark)

    • Total = 4 + 8 + 12 + 6 + 5 = 35 students

    b) 3 books (1 mark)

    • Mode = 3 books (12 students, highest frequency)

    c) Mean = 2.97 books ≈ 3 books (3 marks)

    • Total books = (1×4) + (2×8) + (3×12) + (4×6) + (5×5)
    • = 4 + 16 + 36 + 24 + 25 = 105 books
    • Mean = 105 ÷ 35 = 3 books

15. Temperature analysis (5 marks)

    a) Ascending order: 25°C, 26°C, 27°C, 28°C, 28°C, 29°C, 30°C, 30°C, 31°C, 32°C (1 mark)

    b) Median = 28.5°C (2 marks)

    • With 10 values, median = average of 5th and 6th values
    • 5th value = 28°C, 6th value = 29°C
    • Median = (28 + 29) ÷ 2 = 28.5°C

    c) Mean = 28.6°C (2 marks)

    • Sum = 28+30+25+32+29+31+27+28+30+26 = 286°C
    • Mean = 286 ÷ 10 = 28.6°C