Class 7 Maths Chapter 3 Data Handling, graph reading

Class 7 Maths Chapter 3 Data Handling, graph reading myschoolstudy.com

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Practice Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers based on the latest NCERT syllabus. Solve important MCQs on frequency tables, tally marks, pictographs, bar graphs, data interpretation, and graph reading with detailed solutions. Perfect for CBSE, State Board, school exams, Olympiads, and scholarship preparation.

Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers and Detailed Solutions – Practice Set 4

Total 5 Questions Included in this Quiz

1 / 5

Which statement is correct about a frequency table?

2 / 5

Which of the following is considered raw data?

3 / 5

What is the total number of tally marks represented by:

||||/ ||||

4 / 5

In a bar graph, the height of a bar represents:

5 / 5

Which of the following is not a method of representing data?

Your score is

The average score is 0%

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Chapter Information

Subject: Mathematics

Class: 7

Chapter: Data Handling

Question Type: Multiple Choice Questions (MCQs)

Difficulty Level: Moderate

Based On: NCERT Latest Syllabus (2026)


Introduction

Data Handling helps students collect, organize, and analyze information efficiently. Using tally marks, frequency tables, pictographs, and bar graphs makes it easier to understand and compare data. This chapter builds logical reasoning and improves data interpretation skills required in academics and daily life.


What You Will Learn?

✔ Organizing raw data

✔ Tally marks and frequency

✔ Reading frequency tables

✔ Understanding pictographs

✔ Interpreting bar graphs

✔ Comparing different sets of data

✔ Solving practical data-based problems


Why This Topic Is Important?

Data is used in every field, including education, science, business, banking, sports, and research. Learning Data Handling enables students to analyze information correctly and make informed decisions.


Exam Relevance

These questions are useful for:

✔ CBSE Exams

✔ State Board Exams

✔ School Tests

✔ Unit Tests

✔ Half-Yearly Exams

✔ Annual Exams

✔ Olympiad Preparation

✔ Scholarship Examinations


Q1. Which of the following is considered raw data?

A) Data arranged in a frequency table

B) Data collected but not yet organized

C) Data shown in a bar graph

D) Data represented by a pictograph

Answer: Data collected but not yet organized

Useful Concept for this Question

Raw data is the original information collected before any arrangement.

Concept Behind This Question

Students should understand the meaning of raw data.

Step-by-Step Solution

Raw data is simply the information collected from observations or surveys.

It has not yet been arranged into tables or graphs.

Therefore, the correct answer is:

Data collected but not yet organized

Exam Tip

Remember: Raw Data = Unorganized Data


Q2. What is the total number of tally marks represented by:

||||/ ||||

A) $$8$$

B) $$9$$

C) $$10$$

D) $$11$$

Answer: $$9$$

Useful Formula for this Question

One complete tally group:

||||/ = $$5$$

Concept Behind This Question

Students should count tally marks correctly.

Step-by-Step Solution

One complete group = $$5$$

Remaining tally marks = $$4$$

Total

$$5+4=9$$

Therefore, the correct answer is:

$$9$$

Exam Tip

Always count tally marks in groups of five.


Q3. In a bar graph, the height of a bar represents:

A) The colour of the data

B) The frequency or value

C) The title of the graph

D) The width of the graph

Answer: The frequency or value

Useful Concept for this Question

The height (or length) of each bar represents the corresponding value.

Concept Behind This Question

Students should know the purpose of the bars in a bar graph.

Step-by-Step Solution

Each category is represented by one bar.

The taller the bar, the greater the value.

Therefore, the correct answer is:

The frequency or value

Exam Tip

Bar height represents data, not bar width.


Q4. Which of the following is not a method of representing data?

A) Frequency table

B) Pictograph

C) Bar graph

D) Compass

Answer: Compass

Useful Concept for this Question

Data can be represented using tables and graphs.

Concept Behind This Question

Students should identify valid methods of data representation.

Step-by-Step Solution

A frequency table, pictograph, and bar graph all represent data.

A compass is used for drawing circles, not representing data.

Therefore, the correct answer is:

Compass

Exam Tip

Know the common methods of data representation.


Q5. Which statement is correct about a frequency table?

A) It uses pictures only.

B) It shows how many times each observation occurs.

C) It is used to measure angles.

D) It contains only graphs.

Answer: It shows how many times each observation occurs.

Useful Formula for this Question

Frequency = Number of occurrences

Concept Behind This Question

Students should understand the purpose of a frequency table.

Step-by-Step Solution

A frequency table organizes observations and records how many times each one appears.

This makes the data easy to understand and analyze.

Therefore, the correct answer is:

It shows how many times each observation occurs.

Exam Tip

Frequency tables help simplify large amounts of data.


Important Formulas & Concepts

1. Frequency

Frequency = Number of times an observation occurs


2. Raw Data

Raw data is the original unorganized collection of observations.


3. Tally Marks

Every fifth tally mark crosses the previous four.

Example:

||||/ = $$5$$


4. Pictograph

A pictograph uses symbols or pictures to represent data.

Always check the key before answering.


5. Bar Graph

  • Bars have equal width.
  • Equal spacing is maintained.
  • Height of bars represents frequency or value.

FAQs

1. What is raw data?

Raw data is information collected before it is organized.

2. What does frequency mean?

Frequency is the number of times an observation occurs.

3. Why are tally marks useful?

They make counting large amounts of data easier.

4. What does the height of a bar represent?

It represents the value or frequency.

5. Which graph is commonly used to compare data?

A bar graph.


Common Mistakes

❌ Confusing raw data with organized data.

❌ Counting tally marks incorrectly.

❌ Ignoring the graph scale.

❌ Forgetting to read the pictograph key.

❌ Assuming bar width represents the value.


Quick Revision Notes

✔ Raw data is unorganized information.

✔ Frequency tells how many times an observation occurs.

✔ Five tally marks form one complete group.

✔ Bar height represents frequency.

✔ Pictographs always include a key.

✔ Frequency tables organize data clearly.

✔ Data Handling helps compare and analyze information easily.


Conclusion

Data Handling is an important topic that teaches students how to organize and interpret information accurately. Understanding raw data, tally marks, frequency tables, pictographs, and bar graphs helps students solve real-life problems and improves logical thinking. Regular MCQ practice strengthens concepts and builds confidence for school and competitive examinations.


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