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 challenging MCQs on frequency tables, tally marks, pictographs, bar graphs, and data interpretation with detailed step-by-step 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: Moderate to Difficult

Based On: NCERT Latest Syllabus (2026)

Introduction

Data Handling is an important chapter that teaches students how to collect, organize, represent, and analyze information. Understanding frequency tables, pictographs, and bar graphs helps students solve practical problems involving surveys, comparisons, and decision-making.

What You Will Learn?

✔ Organizing raw data

✔ Preparing frequency tables

✔ Reading pictographs

✔ Interpreting bar graphs

✔ Comparing frequencies

✔ Solving application-based problems

✔ Logical reasoning using data

Why This Topic Is Important?

Data Handling is widely used in education, science, sports, healthcare, banking, business, and government surveys. It helps students analyze information accurately and make logical decisions based on data.

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. The following frequencies represent the number of students who like different sports.

How many students participated in the survey?

A) $$50$$

B) $$52$$

C) $$54$$

D) $$56$$

Answer: $$54$$

Useful Formula for this Question

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

Concept Behind This Question

Students should calculate the total number of observations from a frequency table.

Step-by-Step Solution

$$18+12+15+9$$

$$=54$$

Therefore, the correct answer is:

$$54$$

Exam Tip

The total frequency always gives the total number of observations.

Q2. In a pictograph, 1 symbol represents 12 students. If 66 students are represented, how many symbols are required?

A) $$5$$

B) $$5\frac{1}{2}$$

C) $$6$$

D) $$6\frac{1}{2}$$

Answer: $$5\frac{1}{2}$$

Useful Formula for this Question

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

Concept Behind This Question

Students should determine the required number of symbols using the given key.

Step-by-Step Solution

One symbol represents

$$12$$ students.

Required symbols

$$=\frac{66}{12}=5.5$$

Hence,

$$5$$ complete symbols and one half-symbol are required.

Therefore, the correct answer is:

$$5\frac{1}{2}$$

Exam Tip

Use half-symbols only if the pictograph key permits them.

Q3. A bar graph shows the number of notebooks sold in four shops.

Shop A = $$32$$

Shop B = $$27$$

Shop C = $$35$$

Shop D = $$26$$

How many notebooks were sold by Shop A and Shop D together?

A) $$56$$

B) $$57$$

C) $$58$$

D) $$59$$

Answer: $$58$$

Useful Formula for this Question

$$\text{Combined Total}=\text{First Value}+\text{Second Value}$$

Concept Behind This Question

Students should combine values shown in a bar graph.

Step-by-Step Solution

Shop A sold

$$32$$ notebooks.

Shop D sold

$$26$$ notebooks.

Combined total

$$32+26=58$$

Therefore, the correct answer is:

$$58$$

Exam Tip

Read the graph values carefully before performing calculations.

Q4. Which one of the following statements is incorrect?

A) Frequency tables organize raw data.

B) A pictograph must have a key.

C) Bars in a bar graph should have unequal widths.

D) Raw data is collected before it is organized.

Answer: Bars in a bar graph should have unequal widths.

Useful Concept for this Question

In a standard bar graph, all bars should have equal width.

Concept Behind This Question

Students should identify the incorrect concept related to bar graphs.

Step-by-Step Solution

A correct bar graph always has:

• Equal-width bars
• Equal spacing
• Heights representing values

Therefore, the incorrect statement is:

Bars in a bar graph should have unequal widths.

Exam Tip

Only the height of bars changes—not their width.

Q5. A survey of favourite school subjects gives the following frequencies:

How many more students like Mathematics than Social Science?

A) $$7$$

B) $$8$$

C) $$9$$

D) $$10$$

Answer: $$9$$

Useful Formula for this Question

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

Concept Behind This Question

Students should compare frequencies in a table.

Step-by-Step Solution

Mathematics

$$22$$

Social Science

$$13$$

Difference

$$22-13=9$$

Therefore, the correct answer is:

$$9$$

Exam Tip

Compare the larger and smaller frequencies before subtracting.

Important Formulas & Concepts

1. Total Observations

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

2. Frequency

Frequency = Number of times an observation occurs

3. Pictograph Formula

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

4. Difference Between Frequencies

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

5. Bar Graph Rules

• Equal-width bars
• Equal spacing
• Height represents value or frequency
• Categories are placed on the horizontal axis (X-axis)

FAQs

1. How do you find the total number of observations?

Add all the frequencies.

2. Why is a key important in a pictograph?

It tells the value represented by each symbol.

3. Can bars in a bar graph have different widths?

No. All bars must have equal widths.

4. What is frequency?

Frequency is the number of times an observation occurs.

5. Why are bar graphs useful?

They help compare data from different categories easily.

Common Mistakes

❌ Forgetting to add all frequencies.

❌ Ignoring the pictograph key.

❌ Drawing bars of unequal width.

❌ Subtracting the wrong frequencies.

❌ Confusing raw data with organized data.

Quick Revision Notes

✔ Total observations = Sum of all frequencies.

✔ Frequency tells how many times an observation occurs.

✔ Always check the pictograph key.

✔ Equal-width bars are necessary in a bar graph.

✔ Use subtraction to compare two frequencies.

✔ Organize raw data before drawing graphs.

✔ Data Handling is useful in surveys and daily life.

Conclusion Data Handling enables students to collect, organize, and analyze information efficiently. A strong understanding of frequency tables, pictographs, and bar graphs improves logical thinking and problem-solving skills. Regular practice with moderate-to-difficult MCQs helps students perform confidently in CBSE, State Board, Olympiad, and scholarship examinations.

Related links

• Class 7 Maths Chapter 3 Data Handling part-8
• Class 7 Maths Chapter 3 Data Handling, pictographs part-7
• Class 7 Maths Chapter 3 Data Handling part-6
• Class 7 Maths Chapter 3 Data Handling part-5
• Class 7 Maths Chapter 3 Data Handling part-4
• Class 7 Maths Chapter 3 Data Handling, graph reading part-3
• Class 7 Maths Chapter 3 Data Handling part-2
• Class 7 Maths Chapter 3 Data Handling part-1
• Class 7 Maths Chapter 3 Data Handling, data collection
• Class7 Maths Chapter2 Fractions, Decimals, multiplication MCQ – Part 4
• Class 7 Maths Chapter2 Fractions and Decimals all topic MCQ -Part 3
• Class 7 Maths Chapter 2 Fractions and Decimals MCQ – Part 2

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