Primary 6 PSLE Mathematics Data Analysis Quiz Set 1

P6 Maths Quiz: Data Analysis

Questions: 18 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. The data set is: 5, 8, 12, 8, 6, 9, 8. What is the mode? a) 5 b) 6 c) 8 d) 12

2. What is the median of the following data: 3, 7, 5, 9, 2, 8, 4? a) 4 b) 5 c) 6 d) 7

3. The mean of 6, 8, 10, 12 is: a) 8 b) 9 c) 10 d) 11

4. Which measure of central tendency is most affected by extreme values? a) Mode b) Median c) Mean d) Range

5. In a bar chart, the height of each bar represents: a) The category b) The frequency c) The mean d) The mode

6. A pie chart shows data as: a) Bars of different heights b) Points connected by lines c) Sectors of a circle d) A table of numbers

7. The range of the data set 15, 22, 18, 25, 19, 21 is: a) 7 b) 10 c) 15 d) 25

8. If the mean of 5 numbers is 20, what is their sum? a) 80 b) 100 c) 120 d) 125

9. In a line graph, the horizontal axis usually represents: a) Frequency b) Time c) Mode d) Mean

10. Which of the following is NOT a measure of central tendency? a) Mean b) Median c) Mode d) Range

Section B: Short Answer Questions (10 marks)

Answer all questions. Show your working clearly.

11. The test scores of 8 students are: 78, 85, 92, 88, 75, 80, 95, 87. Find the mean, median, and range. (4 marks)

12. The following table shows the number of pets owned by families in a neighborhood:

Number of pets	Number of families
0	8
1	15
2	12
3	6
4	2

Find the mode and median number of pets per family. (3 marks)

13. In a survey of favorite colors, the results were: Red - 25%, Blue - 35%, Green - 20%, Yellow - 20%. If 200 people were surveyed, how many people chose Blue? (3 marks)

Section C: Problem Solving Questions (10 marks)

Answer all questions. Show your working clearly.

14. The bar chart below shows the number of books read by students in a class over a month.

Number of books	Number of students
1	4
2	8
3	12
4	6
5	5

a) How many students are in the class? (1 mark) b) What is the modal number of books read? (1 mark) c) Calculate the mean number of books read per student. (3 marks)

15. A class recorded the temperature at noon for 10 consecutive days: 28°C, 30°C, 25°C, 32°C, 29°C, 31°C, 27°C, 28°C, 30°C, 26°C.

a) Arrange the data in ascending order. (1 mark) b) Find the median temperature. (2 marks) c) Calculate the mean temperature. (2 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