ANSWER KEY Class VI – Ganita Prakash QUESTION BANK (2025–2026) Subject: Mathematics Chapter 4: Data Handling and Presentation.

 

Answer Key – Chapter 4: Data Handling & Presentation

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1. Multiple Choice Questions (20)

1. (d) Cube root table – not a data representation.

2. (c) 5 × 10 = 50.

3. (c) Rectangular bars are used.

4. (d) 20 × 5 = 100.

5. (b) Time is on the x-axis.

6. (d) 360°.

7. (c) Most frequent value.

8. (c) 20 – 5 = 15.

9. (d) 2 × 8 = 16.

10. (a) Bar graph best shows categories.

11. (b) 9 is the middle value.

12. (b) (1+2+3+4+5)/5 = 3.

13. (c) Colour of eyes is qualitative.

14. (a) Mean is affected by extremes.

15. (c) 40% of 360° = 144°.

16. (a) Highest frequency = most common score.

17. (b) Line graph shows continuous change.

18. (a) 90°/360° = ¼.

19. (a) Mean = sum ÷ number.

20. (a) Tea (highest frequency).

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2. Assertion–Reasoning (20)

1. (c) A true, R false.

2. (c) A true, R false.

3. (a) Both true, R explains A.

4. (c) A true, R false.

5. (a) Both true, R explains A.

6. (c) A true, R false (definitions mixed up).

7. (c) A true, R false.

8. (a) Both true, R explains A.

9. (a) Both true, R explains A.

10. (a) Both true, R explains A.

11. (b) Both true, but R doesn’t explain A.

12. (a) Both true, R explains A.

13. (c) A true, R false.

14. (a) Both true, R explains A.

15. (a) Both true, R explains A.

16. (d) A false, R true.

17. (a) Both true, R explains A.

18. (a) Both true, R explains A.

19. (a) Both true, R explains A.

20. (c) A true, R false.

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3. True or False (10)

1. True

2. False (bars equal width)

3. True

4. False (360° not 180°)

5. True

6. False (median is middle, not frequent)

7. True

8. True

9. False (surveys are data collection)

10. False (mean, median, mode can differ)

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4. Short Answer I (15)

1. Data = collection of facts, e.g., daily temperatures.

2. Primary = collected first-hand; Secondary = taken from books/newspapers.

3. 4 × 10 = 40 apples.

4. Table form with Cricket =15, Football=10, Tennis=5.

5. Range = 30 – 12 = 18.

6. (6+7+8+9+10)/5 = 40/5 = 8.

7. Bar graphs handle large data; pictographs less precise.

8. Middle = 8.

9. 90°/360° = ¼.

10. More common = 20 marks (10 students).

11. 30 – 25 = 5°C.

12. Bar graph (categorical data).

13. 12 × 2 = 24 oranges.

14. 120°/360° = ⅓ = 33.3%.

15. Surveys help collect opinions systematically.

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5. Short Answer II (10)

1. Frequency table: Mode = 7, 8, 9, 10 (tie); most frequent values.

2. Bar graph plotted with absentees data.

3. Pictograph with ⚽ symbols.

4. Mean = (8+12+10+6+14)/5 = 50/5 = 10.

5. Line graph shows temps day-wise.

6. Pie chart: Total = 700. Food = 200/700×360 = 103°, Rent = 154°, Education = 51°, Other = 51°.

7. Range = 22 – 12 = 10; Median = 18.

8. Most popular = Science (50), least = English (35).

9. Mode = 12 (appears 3 times).

10. Weather data shown via line graphs/bar graphs.

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6. Long Answer (10)

1. Frequency table; Mean ≈ 21.2, Median = 20, Mode = 20.

2. Pie chart: Total=100 cars, Red=108°, Blue=72°, White=90°, Black=54°, Others=36°.

3. Line graph showing steady population growth.

4. Bar graph; Mode wages = 140 (highest frequency = 15).

5. Pie chart: Total=20000. Rent=144°, Food=108°, Education=72°, Savings=36°.

6. Cricket=144°, Football=90°, Basketball=72°, Badminton=54°.

7. Highest=Sun (35°C), Lowest=Thu (29°C).

8. Frequency table: Mean ≈ 3.2 hrs.

9. Median=20, Mode=18 & 20 (both frequent).

10. Primary=first-hand; Secondary=already collected. Pictograph=symbols, Bar graph=bars, Line graph=trend.

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7. Case-Based Questions (20 MCQs)

Case Study 1 (Fruits)

1. (c) 50

2. (d) Mango

3. (c) 130

4. (a) 4:3

Case Study 2 (Sports)

1. (a) Cricket

2. (a) 20

3. (c) 20 (30–10)

4. (b) 100

Case Study 3 (Temperature)

1. (c) Sunday (34°C)

2. (b) Friday (28°C)

3. (b) 34 – 28 = 6°C

4. (c) 4 days above 30°C

Case Study 4 (Expenditure)

1. (a) Food (120°)

2. (a) ⅓

3. (b) Rent + Savings = 90°+90°=180°

4. (a) 90°

Case Study 5 (Marks)

1. (d) 12

2. (c) 30 (highest freq = 12)

3. (a) 18 (8+10)

4. (c) 40