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 advanced MCQs on frequency tables, pictographs, bar graphs, averages, and data interpretation with detailed step-by-step solutions. Ideal for CBSE, State Board, Olympiad, and scholarship exam preparation.

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Chapter Information

Subject: Mathematics

Class: 7

Chapter: Data Handling

Question Type: Multiple Choice Questions (MCQs)

Difficulty Level: Difficult (NCERT + HOTS)

Based On: NCERT Latest Syllabus (2026)

Introduction

Data Handling helps students organize, represent, and interpret information using tables, pictographs, and bar graphs. It develops logical reasoning and analytical skills required for solving real-life mathematical problems. This final practice set contains carefully verified higher-order questions.

What You Will Learn?

✔ Frequency Tables

✔ Pictographs

✔ Mean (Average)

✔ Comparing Data

✔ Updating Frequencies

✔ HOTS-based Questions

Why This Topic Is Important?

Data Handling is useful in surveys, business, sports, education, weather forecasting, banking, and scientific research. Understanding this chapter helps students interpret numerical information accurately and make logical decisions.

Exam Relevance

These MCQs are useful for:

✔ CBSE Exams

✔ State Board Exams

✔ School Tests

✔ Unit Tests

✔ Half-Yearly Exams

✔ Annual Exams

✔ Olympiad Preparation

✔ Scholarship Examinations

Q1. The table below shows the number of students participating in different school clubs.

What is the average number of students participating in these clubs?

A) $$26$$

B) $$27$$

C) $$28$$

D) $$29$$

Answer: $$27$$

Useful Formula

$$\text{Average}=\frac{\text{Total Number of Students}}{\text{Number of Clubs}}$$

Step-by-Step Solution

Total students

$$21+29+25+33=108$$

Average

$$=\frac{108}{4}=27$$

Therefore,

the correct answer is

$$27$$

Q2. In a pictograph,

⭐ = 24 prizes

How many prizes are represented by 7½ symbols?

A) $$168$$

B) $$174$$

C) $$180$$

D) $$186$$

Answer: $$180$$

Useful Formula

$$\text{Total Prizes}=\text{Number of Symbols}\times24$$

Step-by-Step Solution

$$7.5\times24=180$$

Therefore,

the correct answer is

$$180$$

Q3. The following table shows the favourite fruits of students.

If 5 students change their choice from Mango to Apple, what will be the new difference between the frequencies of Mango and Apple?

A) $$2$$

B) $$4$$

C) $$6$$

D) $$8$$

Answer: $$4$$

Useful Formula

When observations shift:

• Subtract from the first category.
• Add to the second category.

Step-by-Step Solution

New frequency of Mango

$$32-5=27$$

New frequency of Apple

$$18+5=23$$

Difference

$$27-23=4$$

Therefore,

the correct answer is

$$4$$

Q4. Which of the following statements is always true?

A) Every pictograph uses the same key.

B) The sum of all frequencies gives the total number of observations.

C) Frequencies can be negative.

D) Bars in a bar graph may have different widths.

Answer: The sum of all frequencies gives the total number of observations.

Useful Concept for this Question

The total number of observations in a frequency table is obtained by adding all the frequencies.

Concept Behind This Question

Students should identify the correct basic property of a frequency table.

Step-by-Step Solution

• Option A: Incorrect. Different pictographs can use different keys.
• Option B: Correct. Adding all the frequencies gives the total number of observations.
• Option C: Incorrect. Frequencies cannot be negative.
• Option D: Incorrect. Bars in a bar graph should have equal width.

Therefore, the correct answer is:

B) The sum of all frequencies gives the total number of observations.

Exam Tip

Remember that frequency means the number of times an observation occurs, so the sum of all frequencies always gives the total observations.

Q5. The table below shows the number of books issued from a school library.

How many more books were issued by Class IX than Class VII?

A) $$14$$

B) $$15$$

C) $$16$$

D) $$17$$

Answer: $$16$$

Useful Formula for this Question

$$\text{Difference}=\text{Larger Value}-\text{Smaller Value}$$

Concept Behind This Question

Students should compare two values from the given data.

Step-by-Step Solution

Books issued by Class IX

$$44$$

Books issued by Class VII

$$28$$

Difference

$$44-28=16$$

Therefore, the correct answer is:

$$16$$

Exam Tip

Always subtract the smaller value from the larger value.

Important Formulas & Concepts

1. Total Number of Observations

$$\text{Total Observations}=\text{Sum of all Frequencies}$$

2. Average (Mean)

$$\text{Average}=\frac{\text{Total Number of Observations}}{\text{Number of Categories}}$$

3. Pictograph Formula

$$\text{Number of Items}=\text{Number of Symbols}\times\text{Value of One Symbol}$$

4. Difference Between Two Values

$$\text{Difference}=\text{Larger Value}-\text{Smaller Value}$$

5. Important Facts About Bar Graphs

• Bars should have equal width.
• Equal spacing should be maintained.
• The height of each bar represents the frequency or value.
• A suitable scale should always be used.

FAQs

1. What is Data Handling?

Data Handling is the process of collecting, organizing, representing, and interpreting data.

2. What is frequency?

Frequency is the number of times a particular observation occurs.

3. Why is a key important in a pictograph?

The key tells the value represented by each symbol in the pictograph.

4. How is the average calculated?

Average is calculated by dividing the total number of observations by the number of categories.

5. Why should all bars in a bar graph have equal width?

Equal-width bars make the comparison of data accurate and easy.

Common Mistakes

❌ Forgetting to add all frequencies before finding the average.

❌ Ignoring the key while reading a pictograph.

❌ Subtracting values in the wrong order while finding the difference.

❌ Assuming that frequencies can be negative.

❌ Drawing bars of unequal width in a bar graph.

Quick Revision Notes

✔ Total observations = Sum of all frequencies.

✔ Average = Total observations ÷ Number of categories.

✔ Every pictograph must have a key.

✔ Frequencies are always whole numbers (or zero).

✔ Bars in a bar graph should have equal width.

✔ Compare values carefully before finding the difference.

✔ Data Handling helps organize and interpret information effectively.

Conclusion

Data Handling is one of the most practical chapters in Class 7 Mathematics. It helps students collect, organize, compare, and interpret information accurately using tables, pictographs, and bar graphs. Regular practice of MCQs improves conceptual understanding, logical reasoning, and problem-solving skills, helping students perform well in CBSE, State Board, Olympiad, and scholarship examinations.

Related links

• Class 7 Social Science Chapter 1 Tracing Changes Through a Thousand Years part-7
• Class 7 Science Chapter 1 Nutrition in Plants part-6
• Class 7 Maths Chapter 3 Data Handling part-7
• Class 7 English Chapter 1 The Rainbow part-3
• Class 7 Social Science Chapter 1 Tracing Changes Through a Thousand Years part-6
• Class 7 Science Chapter 1 Nutrition in Plants part-5
• Class 7 Maths Chapter 3 Data Handling part-6
• Class 7 Social Science Chapter 1 Tracing Changes Through a Thousand Years part-5
• Class 7 Maths Chapter 3 Data Handling part-5
• Class 7 Science Chapter 1 Nutrition in Plants part-4
• Class 7 English Chapter 1 The Rainbow part-2

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