Chapter 16: Data Handling - Mock Test
Instructions
- •This test has 20 questions covering all topics from Chapter 16
- •Section A: 8 questions × 1 mark = 8 marks
- •Section B: 8 questions × 2 marks = 16 marks
- •Section C: 4 questions × 4 marks = 16 marks
- •No negative marking
Section A (1 mark each)
8 questions × 1 mark = 8 marks
1. What is the mean of 5, 10, 15?
Answer: Mean = (5+10+15)÷3 = 30÷3 = 10
2. Find the median of 2, 4, 6, 8, 10.
Answer: Median = 6 (middle value)
3. Mode of 1, 1, 1, 2, 3, 3 is:
Answer: Mode = 1 (appears 3 times)
4. Range of 5, 12, 3, 18, 7 is:
Answer: Range = 18 - 3 = 15
5. Angle for 25% in pie chart:
Answer: Angle = (25/100)×360 = 90°
6. P(getting 2 on a die):
Answer: P(2) = 1/6
7. Is 50% primary or secondary data?
Answer: Could be either depending on source (primary if collected directly)
8. If mean = 20 and count = 5, sum =?
Answer: Sum = 20 × 5 = 100
Section B (2 marks each)
8 questions × 2 marks = 16 marks
9. Create frequency table for: 1, 2, 1, 3, 2, 1, 3, 3
Answer: Value|1|2|3, Frequency|3|2|3
10. Calculate mean, median, mode of 4, 4, 6, 8, 10, 12
Answer: Mean = 44/6 ≈ 7.33, Median = (6+8)/2 = 7, Mode = 4
11. In 120 students: Math 30, English 24, Science 36, Hindi 30. Pie chart angle for Science:
Answer: Angle = (36/120)×360 = 108°
12. Bag has 5 red, 3 blue, 2 green marbles. P(not red):
Answer: P(not red) = 5/10 = 1/2
13. Arrange 35, 28, 42, 31, 39 and find median:
Answer: Arranged: 28, 31, 35, 39, 42. Median = 35
14. If median of 6 numbers is 12 and 5 are 8, 10, 14, 16, 18, find 6th:
Answer: 6th number = 10 (Median = (10+14)/2 = 12)
15. 72° pie chart angle = ? percentage
Answer: Percentage = (72/360)×100 = 20%
16. Standard deck: P(drawing a heart)
Answer: P(heart) = 13/52 = 1/4
Section C (4 marks each)
4 questions × 4 marks = 16 marks
17. Marks of 20 students: 85, 90, 75, 85, 95, 80, 85, 90, 78, 85, 90, 88, 92, 85, 80, 95, 78, 88, 90, 86. Create frequency table and find mean, median, mode.
Answer: Frequency table for marks. Mean ≈ 86.5, Median = 87.5, Mode = 85
18. In a class of 150 students: 25 choose Math, 35 English, 40 Science, 30 History, 20 Geography. Draw a pie chart (calculate all angles).
Answer: Math=60°, English=84°, Science=96°, History=72°, Geography=48°. Draw pie chart with these angles.
19. Sales data: Days 1-10 have quantities 45, 52, 48, 55, 50, 48, 60, 55, 52, 55. Find mean, median, mode, range and discuss what the data tells us about sales.
Answer: Mean = 52, Median = 52.5, Mode = 55, Range = 15. Sales are relatively consistent around 52 units.
20. A spinner has 8 equal sections: 2 red, 3 blue, 2 yellow, 1 green. If spun 240 times, how many times each color is expected to appear? Calculate probabilities.
Answer: P(red)=2/8=1/4, expect 60. P(blue)=3/8, expect 90. P(yellow)=2/8=1/4, expect 60. P(green)=1/8, expect 30.
Preparation Tips
- • Always arrange data before finding median or mode
- • Double-check your mean calculation by summing all values
- • For pie charts, remember sum of all angles = 360°
- • Probability is always between 0 and 1
- • Practice drawing accurate bar graphs and pie charts