Class 7 Maths Chapter 3 Data Handling

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Practice Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers based on the latest NCERT syllabus. Solve MCQs on tally marks, frequency tables, pictographs, bar graphs, data interpretation, and graphical representation with detailed solutions. Ideal 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 3

Total 5 Questions Included in this Quiz

1 / 5

A pictograph uses a key because:

2 / 5

If the frequency of "Red" colour is 8, what does it mean?

3 / 5

Which of the following is the best way to organize raw data before drawing a graph?

4 / 5

Which of the following helps compare the number of books read by different students most easily?

5 / 5

Which of the following statements about a bar graph is correct?

Your score is

The average score is 60%

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Chapter Information

Subject: Mathematics

Class: 7

Chapter: Data Handling

Question Type: Multiple Choice Questions (MCQs)

Difficulty Level: Easy to Moderate

Based On: NCERT Latest Syllabus (2026)


Introduction

Data Handling enables students to collect, organize, represent, and interpret information systematically. Using tables, tally marks, pictographs, and bar graphs makes data easier to understand and compare. This chapter develops observation, reasoning, and analytical skills required in everyday life.


What You Will Learn?

✔ Collecting and organizing data

✔ Tally marks

✔ Frequency tables

✔ Reading pictographs

✔ Drawing and interpreting bar graphs

✔ Comparing data

✔ Solving real-life data problems


Why This Topic Is Important?

Data Handling helps us understand information presented in newspapers, surveys, sports statistics, weather reports, and business records. Learning this chapter improves logical thinking and prepares students for higher mathematics.


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 the best way to organize raw data before drawing a graph?

A) Frequency table

B) Circle

C) Equation

D) Triangle

Answer: Frequency table

Useful Concept for this Question

A frequency table arranges data in an organized form before graphical representation.

Concept Behind This Question

Students should know the correct sequence of representing data.

Step-by-Step Solution

Raw data is usually unorganized.

Before drawing a graph, the observations are arranged in a frequency table.

This makes graphical representation easier and more accurate.

Therefore, the correct answer is:

Frequency table

Exam Tip

Always prepare a frequency table before drawing a graph.


Q2. A pictograph uses a key because:

A) Every picture may represent more than one item.

B) Pictures have different colours.

C) Pictures are always equal to one item.

D) It is compulsory to draw coloured pictures.

Answer: Every picture may represent more than one item.

Useful Concept for this Question

The key tells the value represented by each picture.

Concept Behind This Question

Students should understand the purpose of a key in a pictograph.

Step-by-Step Solution

In a pictograph, one picture may represent 2, 5, 10, or more objects.

Without the key, the data cannot be interpreted correctly.

Therefore, the correct answer is:

Every picture may represent more than one item.

Exam Tip

Never solve a pictograph without reading its key.


Q3. Which of the following statements about a bar graph is correct?

A) Bars may have different widths.

B) Bars must have equal width.

C) Bars are always joined together.

D) Bars can only be drawn horizontally.

Answer: Bars must have equal width.

Useful Concept for this Question

In a bar graph, all bars have equal width and equal spacing.

Concept Behind This Question

Students should know the basic properties of a bar graph.

Step-by-Step Solution

A standard bar graph consists of rectangular bars having:

  • Equal width
  • Equal spacing
  • Heights proportional to the data

Therefore, the correct answer is:

Bars must have equal width.

Exam Tip

Unequal bar widths make the graph incorrect.


Q4. Which of the following helps compare the number of books read by different students most easily?

A) Paragraph

B) Frequency table only

C) Bar graph

D) Sentence writing

Answer: Bar graph

Useful Concept for this Question

Bar graphs are ideal for comparing quantities across different categories.

Concept Behind This Question

Students should identify the best graphical method for comparison.

Step-by-Step Solution

A bar graph clearly shows differences between categories by comparing the heights of bars.

Therefore, the correct answer is:

Bar graph

Exam Tip

Use a bar graph whenever comparison is required.


Q5. If the frequency of “Red” colour is 8, what does it mean?

A) Red appears 8 times.

B) There are 8 different colours.

C) Red is the eighth colour.

D) There are only 8 observations.

Answer: Red appears 8 times.

Useful Formula for this Question

Frequency = Number of occurrences

Concept Behind This Question

Students should understand the meaning of frequency in practical situations.

Step-by-Step Solution

Frequency tells us how many times a particular observation occurs.

If Red has a frequency of 8, then Red appears 8 times in the data.

Therefore, the correct answer is:

Red appears 8 times.

Exam Tip

Frequency always indicates the number of occurrences.


Important Formulas & Concepts

1. Frequency

Frequency = Number of times an observation occurs


2. Tally Marks

Every fifth tally mark crosses the previous four tally marks.


3. Frequency Table

A frequency table organizes raw data into a simple and systematic form.


4. Pictograph

A pictograph represents data using pictures or symbols.

Always check the key before solving.


5. Bar Graph

  • Bars have equal width.
  • Equal spacing is maintained.
  • The height of each bar represents the frequency.

FAQs

1. Why do we prepare a frequency table?

To organize raw data before representing it graphically.

2. Why is a key necessary in a pictograph?

It tells the value represented by each picture.

3. What does frequency mean?

It is the number of times an observation occurs.

4. Why should all bars have equal width?

Equal width ensures that the graph represents data accurately.

5. Which graph is best for comparing categories?

A bar graph.


Common Mistakes

❌ Forgetting to prepare a frequency table.

❌ Ignoring the key in a pictograph.

❌ Drawing bars with unequal width.

❌ Reading the graph without checking the scale.

❌ Confusing frequency with the total number of observations.


Quick Revision Notes

✔ Raw data should be organized using a frequency table.

✔ Frequency means the number of occurrences.

✔ Always read the key in a pictograph.

✔ Bar graphs compare different categories.

✔ All bars in a bar graph should have equal width and equal spacing.

✔ Check the graph scale before answering questions.

✔ Data Handling is useful in daily life, school, and competitive exams.


Conclusion

Data Handling is an important chapter that teaches students how to collect, organize, represent, and interpret information effectively. Mastering concepts like frequency tables, pictographs, and bar graphs helps students analyze data accurately and solve practical problems with confidence. Regular MCQ practice strengthens conceptual understanding and improves performance in school and competitive examinations.


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