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, and data interpretation with detailed solutions. Perfect 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 collect, organize, represent, and interpret data accurately. It develops logical thinking, analytical ability, and problem-solving skills through tables, pictographs, and graphs. This practice set contains higher-order thinking questions based on the latest NCERT syllabus.

What You Will Learn?

✔ Frequency Tables

✔ Pictographs

✔ Bar Graph Interpretation

✔ Mean (Average)

✔ Updating Frequencies

✔ Data Comparison

✔ HOTS Questions

Why This Topic Is Important?

Data Handling is used in surveys, business reports, sports statistics, scientific research, healthcare, and education. A clear understanding of this chapter helps students analyze real-life information correctly.

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 following table shows the number of students participating in different activities.

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

A) $$24$$

B) $$25$$

C) $$26$$

D) $$27$$

Answer: $$25$$

Useful Formula for this Question

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

Concept Behind This Question

Students should calculate the average by adding all observations and dividing by the number of categories.

Step-by-Step Solution

Total students

$$18+24+30+28=100$$

Average

$$=\frac{100}{4}=25$$

Therefore, the correct answer is

$$25$$

Exam Tip

Always calculate the total first before dividing.

Q2. In a pictograph,

🚲 = 18 bicycles

How many bicycles are represented by 8½ symbols?

A) $$144$$

B) $$150$$

C) $$153$$

D) $$162$$

Answer: $$153$$

Useful Formula for this Question

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

Concept Behind This Question

Students should correctly interpret fractional symbols in a pictograph.

Step-by-Step Solution

One symbol represents

$$18$$ bicycles.

Number of symbols

$$=8\frac12=8.5$$

Therefore,

$$8.5\times18=153$$

Hence, the correct answer is

$$153$$

Exam Tip

Half of $$18$$ is $$9$$.

Q3. A survey records the favourite indoor games of students.

If 4 students change their choice from Chess to Carrom, what will be the new difference between the frequencies of Chess and Carrom?

A) $$0$$

B) $$2$$

C) $$4$$

D) $$6$$

Answer: $$4$$

Useful Formula for this Question

When observations move from one category to another:

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

Concept Behind This Question

Students should update both frequencies before comparing them.

Step-by-Step Solution

New frequency of Chess

$$26-4=22$$

New frequency of Carrom

$$22+4=26$$

Difference

$$26-22=4$$

Therefore, the correct answer is

$$4$$

Note: The answer above is $$4$$. The earlier “Answer: $$0$$” line was a typo. The verified correct answer is C) $$4$$ because after the update the frequencies become 22 and 26, whose difference is 4.

Exam Tip

Always update both frequencies before finding the difference.

Q4. The following statements are given about Data Handling.

Which statement is always true?

A) Every pictograph uses the same symbol value.

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

C) Frequencies may be negative.

D) Every bar graph must have bars of different widths.

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

Useful Concept for this Question

The sum of all frequencies in a frequency table is equal to the total number of observations collected.

Concept Behind This Question

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

Step-by-Step Solution

• Option A is incorrect because different pictographs may use different keys.
• Option B is correct because adding all frequencies gives the total observations.
• Option C is incorrect because frequencies cannot be negative.
• Option D is incorrect because all bars in a bar graph should have equal width.

Therefore, the correct answer is:

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

Exam Tip

Concept-based questions are very common in CBSE examinations.

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

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

Concept Behind This Question

Students should compare two values from a frequency table.

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

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. Bar Graph Facts

• Bars must 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 necessary in a pictograph?

The key tells the value represented by each symbol.

4. How is the average calculated?

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

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

Equal-width bars make comparisons 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 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.

✔ Bars in a bar graph should have equal width.

✔ Compare values carefully before finding the difference.

✔ Data Handling is useful for organizing and interpreting information.

Conclusion Data Handling is one of the most practical chapters in Class 7 Mathematics. It helps students organize information, compare data, calculate averages, and interpret graphs accurately. Regular practice with conceptual and application-based MCQs strengthens logical reasoning and prepares students for CBSE, State Board, Olympiad, and scholarship examinations

Related links

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

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