CBSE Class 6 Maths Chapter 4: Data Handling and Presentation — Assertion & Reason
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The following Assertion and Reason questions are based on Chapter 4: Data Handling and Presentation from the NCERT Class 6 Mathematics textbook. Each question has four options - read both the Assertion (A) and Reason (R) carefully before selecting your answer.
How to attempt Assertion & Reason questions:
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
(a) Both A and R are true, and R is the correct explanation of A.
(b) Both A and R are true, but R is NOT the correct explanation of A.
(c) A is true, but R is false.
(d) A is false, but R is true.
Assertion & Reason Questions
1
Assertion (A): Data are collected facts, measurements or observations that convey information.
Reason (R): Organising observations helps answer questions about them.
Reason (R): Organising observations helps answer questions about them.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Information becomes useful when collected and organised.
2
Assertion (A): Data are collected facts, measurements or observations that convey information.
Reason (R): A pictograph uses pictures or symbols.
Reason (R): A pictograph uses pictures or symbols.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
3
Assertion (A): Data are collected facts, measurements or observations that convey information.
Reason (R): Data must contain only whole numbers.
Reason (R): Data must contain only whole numbers.
Answer: (c)
A is true, but R is false. Data may include categories, measurements and descriptions.
4
Assertion (A): A personal guess with no observation is always complete data.
Reason (R): Organising observations helps answer questions about them.
Reason (R): Organising observations helps answer questions about them.
Answer: (d)
A is false, but R is true. A guess alone does not constitute a complete collected data set.
5
Assertion (A): A frequency tells how often a value or category occurs.
Reason (R): Tally marks can be grouped to count repeated observations efficiently.
Reason (R): Tally marks can be grouped to count repeated observations efficiently.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Tally counts explain frequency.
6
Assertion (A): A frequency tells how often a value or category occurs.
Reason (R): A bar graph uses rectangular bars.
Reason (R): A bar graph uses rectangular bars.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
7
Assertion (A): A frequency tells how often a value or category occurs.
Reason (R): Frequency gives the sum of all numerical values.
Reason (R): Frequency gives the sum of all numerical values.
Answer: (c)
A is true, but R is false. Frequency is a count, not a sum of values.
8
Assertion (A): A category occurring five times has frequency one.
Reason (R): Tally marks can be grouped to count repeated observations efficiently.
Reason (R): Tally marks can be grouped to count repeated observations efficiently.
Answer: (d)
A is false, but R is true. Five occurrences give frequency five.
9
Assertion (A): A pictograph's key states how many items each symbol represents.
Reason (R): Without the key, the symbols cannot be converted reliably into quantities.
Reason (R): Without the key, the symbols cannot be converted reliably into quantities.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The key determines the numerical scale.
10
Assertion (A): A pictograph's key states how many items each symbol represents.
Reason (R): Data can be arranged in a table.
Reason (R): Data can be arranged in a table.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
11
Assertion (A): A pictograph's key states how many items each symbol represents.
Reason (R): Every pictograph symbol must represent exactly one item.
Reason (R): Every pictograph symbol must represent exactly one item.
Answer: (c)
A is true, but R is false. A symbol may represent several items.
12
Assertion (A): A pictograph never requires a legend.
Reason (R): Without the key, the symbols cannot be converted reliably into quantities.
Reason (R): Without the key, the symbols cannot be converted reliably into quantities.
Answer: (d)
A is false, but R is true. The legend or key is essential.
13
Assertion (A): In a bar graph, equal bar widths and a common scale support fair comparison.
Reason (R): Bar height or length represents the category value on the chosen scale.
Reason (R): Bar height or length represents the category value on the chosen scale.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. The scale converts length into value.
14
Assertion (A): In a bar graph, equal bar widths and a common scale support fair comparison.
Reason (R): Categories may be written along an axis.
Reason (R): Categories may be written along an axis.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
15
Assertion (A): In a bar graph, equal bar widths and a common scale support fair comparison.
Reason (R): Bars for larger values should always be shorter.
Reason (R): Bars for larger values should always be shorter.
Answer: (c)
A is true, but R is false. Larger values normally produce longer bars.
16
Assertion (A): The spaces between bars determine the data values.
Reason (R): Bar height or length represents the category value on the chosen scale.
Reason (R): Bar height or length represents the category value on the chosen scale.
Answer: (d)
A is false, but R is true. Bar length, not spacing, encodes magnitude.
17
Assertion (A): A graph should be interpreted using its labels, units and scale.
Reason (R): These features identify what is measured and how visual distances map to values.
Reason (R): These features identify what is measured and how visual distances map to values.
Answer: (a)
Both A and R are true, and R is the correct explanation of A. Context and scale make the representation meaningful.
18
Assertion (A): A graph should be interpreted using its labels, units and scale.
Reason (R): A data set may have a most frequent category.
Reason (R): A data set may have a most frequent category.
Answer: (b)
Both A and R are true, but R is NOT the correct explanation of A. Both statements are true, but the second statement does not explain the first.
19
Assertion (A): A graph should be interpreted using its labels, units and scale.
Reason (R): A title and labels are unnecessary for interpretation.
Reason (R): A title and labels are unnecessary for interpretation.
Answer: (c)
A is true, but R is false. Unlabelled axes create ambiguity.
20
Assertion (A): Any conclusion is valid even if the graph does not support it.
Reason (R): These features identify what is measured and how visual distances map to values.
Reason (R): These features identify what is measured and how visual distances map to values.
Answer: (d)
A is false, but R is true. Conclusions must be supported by the displayed data.
❓ Frequently Asked Questions
What is covered in CBSE Class 6 Maths Chapter 4 Data Handling and Presentation?
This chapter covers all key topics from Data Handling and Presentation as per CBSE 2026-27 syllabus.
Is this Assertion & Reason useful for CBSE board exams?
Yes, designed for CBSE Class 6 board exam preparation covering the complete syllabus.
Are these CBSE Class 6 Maths Assertion & Reason updated for 2026-27?
Yes, all content at eBookPublisher is updated as per the latest 2026-27 CBSE syllabus.
How many chapters are in CBSE Class 6 Maths?
All chapters of CBSE Class 6 Maths are covered at eBookPublisher with free Assertion & Reason for each chapter.
Can I study Data Handling and Presentation online for free?
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