NCERT Class 6 Maths · Chapter 6

NCERT Solutions Class 6 Maths Chapter 6Data Handling & Presentation

Step-by-step solutions for all exercises in NCERT Class 6 Maths Data Handling & Presentation.

Chapter Overview

Collect, organize, and represent data using pictographs, bar graphs, and tally charts.

This chapter is part of the NCERT Mathematics textbook for Class 6 and is important for CBSE school examinations. The concepts covered here build the foundation for more advanced topics in higher classes.

Below you will find solved examples from this chapter. Each solution includes detailed step-by-step working so you can understand the method, not just the answer.

Solved Examples from Data Handling & Presentation

1Which of the following statements best describes 'data' in the context of data handling?

A.It is always a set of numbers arranged in ascending order.
B.It refers to the raw facts and figures collected for a specific purpose.
C.It is a completed graph or chart that shows patterns.
D.It is a single, pre-calculated answer to a mathematical problem.

Answer: It refers to the raw facts and figures collected for a specific purpose.

Solution:

Step 1: Data refers to the unorganized facts, figures, and information collected from various sources.

Step 2: Before data can be analyzed or presented, it exists in its raw form.

Step 3: Therefore, raw facts and figures are the best description of data.

2A teacher asked students about their favorite colors. She recorded the responses: Red, Blue, Green, Red, Yellow, Blue, Red, Green, Blue, Red. How many students chose 'Red' as their favorite color?

A.2
B.3
C.4
D.5

Answer: 4

Solution:

Step 1: Go through the list of responses and count every time 'Red' appears.

Step 2: The list is: Red, Blue, Green, Red, Yellow, Blue, Red, Green, Blue, Red.

Step 3: Counting 'Red' gives: 1 (first), 2 (fourth), 3 (seventh), 4 (tenth).

Step 4: So, 4 students chose 'Red'.

3Rohan is counting the number of different types of birds he sees in his garden. He saw 8 sparrows. Which of the following correctly represents 8 sparrows using tally marks?

A.|||| |||
B.|||| ||||
C.|||| |
D.|| ||||

Answer: |||| |||

Solution:

Step 1: Tally marks are grouped in fives for easy counting.

Step 2: A group of five is represented as |||| (four vertical lines with a diagonal line through them).

Step 3: To represent 8, we need one group of five and then three more individual tally marks.

Step 4: So, 8 is represented as |||| |||.

4In a survey, 25 students chose 'Cricket' as their favorite sport. If a pictograph uses a symbol of a cricket bat to represent 5 students, how many cricket bat symbols should be drawn for 'Cricket'?

A.4
B.5
C.20
D.25

Answer: 5

Solution:

Step 1: Total number of students who chose 'Cricket' = 25.

Step 2: Value represented by one cricket bat symbol = 5 students.

Step 3: Number of symbols needed = (Total students) / (Value per symbol).

Step 4: Number of symbols = 25 / 5 = 5.

5A pictograph shows the number of flowers in a garden. If one flower symbol (🌷) represents 10 flowers, and there are 4 flower symbols next to 'Roses', how many roses are there in the garden?

A.4
B.10
C.14
D.40

Answer: 40

Solution:

Step 1: The key states that 1 flower symbol (🌷) represents 10 flowers.

Step 2: For 'Roses', there are 4 flower symbols.

Step 3: Total number of roses = Number of symbols × Value per symbol.

Step 4: Total number of roses = 4 × 10 = 40.

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Frequently Asked Questions

Where can I find NCERT Solutions for Class 6 Maths Chapter 6?+
You can find complete NCERT Solutions for Class 6 Maths Chapter 6 (Data Handling & Presentation) on this page with step-by-step explanations for all exercises.
Are these NCERT Solutions for Class 6 Data Handling & Presentation updated for 2025-26?+
Yes, these solutions follow the latest NCERT textbook for the 2025-26 academic session and cover all exercise questions.
How to score full marks in Class 6 Data Handling & Presentation?+
Practice all NCERT exercise questions, understand the concepts behind each formula, and solve additional problems on SparkEd's interactive platform for thorough preparation.
Is Data Handling & Presentation important for Class 6 exams?+
Yes, Data Handling & Presentation is an important chapter in Class 6 CBSE Maths. Questions from this chapter regularly appear in school exams and board assessments.
Can I practice more questions on Data Handling & Presentation?+
Absolutely! SparkEd offers 60+ interactive practice questions for Data Handling & Presentation with AI-powered doubt clearing and step-by-step solutions.

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