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Practice Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers based on the latest NCERT syllabus. Solve moderate to difficult MCQs on frequency tables, tally marks, pictographs, bar graphs, 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: Moderate to Difficult
Based On: NCERT Latest Syllabus (2026)
Introduction
Data Handling helps students collect, classify, represent, and interpret data efficiently. Understanding concepts such as frequency tables, pictographs, and bar graphs enables students to solve real-life problems involving surveys, comparisons, and statistical information.
What You Will Learn?
✔ Organizing raw data
✔ Preparing frequency tables
✔ Interpreting pictographs
✔ Reading bar graphs
✔ Comparing observations
✔ Finding totals and differences
✔ Solving real-life data-based questions
Why This Topic Is Important?
Data Handling is used in almost every profession, including business, healthcare, education, science, sports, and technology. Learning this chapter improves logical reasoning, observation skills, and decision-making.
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 frequencies of five colours are given below:
Red = $$9$$
Blue = $$15$$
Green = $$12$$
Yellow = $$8$$
Black = $$6$$
How many observations are there in total?
A) $$45$$
B) $$48$$
C) $$50$$
D) $$52$$
Answer: $$50$$
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 by adding all frequencies.
Step-by-Step Solution
$$9+15+12+8+6$$
$$=50$$
Therefore, the correct answer is:
$$50$$
Exam Tip
When asked for the total observations, add every frequency carefully.
Q2. A pictograph has the key:
🚲 = 8 bicycles
If 44 bicycles are represented, how many symbols are required?
A) $$4\frac{1}{2}$$
B) $$5$$
C) $$5\frac{1}{2}$$
D) $$6$$
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
$$8$$ bicycles.
Required symbols
$$=\frac{44}{8}=5.5$$
Hence,
$$5$$ complete symbols and one half-symbol are needed.
Therefore, the correct answer is:
$$5\frac{1}{2}$$
Exam Tip
Half-symbols are used only when the key allows fractional representation.
Q3. A bar graph shows the number of storybooks read by four students.
Aman = $$18$$
Bhavna = $$25$$
Chirag = $$20$$
Deepa = $$23$$
How many books did Bhavna and Deepa together read?
A) $$45$$
B) $$46$$
C) $$47$$
D) $$48$$
Answer: $$48$$
Useful Formula for this Question
$$\text{Total}=\text{First Value}+\text{Second Value}$$
Concept Behind This Question
Students should combine values represented in a bar graph.
Step-by-Step Solution
Books read by Bhavna
$$25$$
Books read by Deepa
$$23$$
Total
$$25+23=48$$
Therefore, the correct answer is:
$$48$$
Exam Tip
Read the graph carefully before adding values.
Q4. Which one of the following statements is correct?
A) A frequency table cannot be prepared from raw data.
B) Raw data is always arranged in ascending order.
C) A bar graph can be drawn after organizing data into a frequency table.
D) A pictograph never uses a key.
Answer: A bar graph can be drawn after organizing data into a frequency table.
Useful Concept for this Question
A frequency table is usually prepared before drawing a graph.
Concept Behind This Question
Students should understand the proper sequence of data representation.
Step-by-Step Solution
Raw data is first organized into a frequency table.
The organized data is then represented using graphs.
Therefore, the correct answer is:
A bar graph can be drawn after organizing data into a frequency table.
Exam Tip
The correct sequence is:
Raw Data → Frequency Table → Graph
Q5. A survey records the favourite indoor games of students.
| Game | Frequency |
| Chess | $$14$$ |
| Carrom | $$19$$ |
| Ludo | $$17$$ |
| Table Tennis | $$10$$ |
How many students participated in the survey?
A) $$58$$
B) $$59$$
C) $$60$$
D) $$61$$
Answer: $$60$$
Useful Formula for this Question
$$\text{Total Participants}=\text{Sum of all Frequencies}$$
Concept Behind This Question
Students should calculate the total frequency.
Step-by-Step Solution
$$14+19+17+10$$
$$=60$$
Therefore, the correct answer is:
$$60$$
Exam Tip
The total number of participants is always equal to the total frequency.
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. Combined Total
$$\text{Total}=\text{First Value}+\text{Second Value}$$
5. Sequence of Data Handling
Raw Data → Frequency Table → Pictograph/Bar Graph → Interpretation
FAQs
1. Why do we prepare a frequency table?
It organizes raw data before drawing graphs.
2. How do you calculate the total number of observations?
Add all the frequencies.
3. Can half-symbols be used in a pictograph?
Yes, if the key allows them.
4. What is the correct order of Data Handling?
Raw Data → Frequency Table → Graph → Interpretation.
5. Why are bar graphs useful?
They make comparisons between different categories easy.
Common Mistakes
❌ Forgetting to add all frequencies.
❌ Ignoring the pictograph key.
❌ Reading incorrect values from a graph.
❌ Confusing raw data with organized data.
❌ Skipping the frequency table before drawing a graph.
Quick Revision Notes
✔ Total observations = Sum of all frequencies.
✔ Frequency means the number of occurrences.
✔ Organize raw data before drawing graphs.
✔ Always check the pictograph key.
✔ Bar graphs are best for comparing categories.
✔ Half-symbols may be used when necessary.
✔ Data Handling follows a logical sequence from collection to interpretation.
Conclusion
Data Handling is a practical chapter that develops students’ ability to organize, represent, and interpret information accurately. By mastering concepts such as frequency tables, pictographs, and bar graphs, students improve their analytical and problem-solving skills. Regular practice with higher-level MCQs builds confidence and prepares students for CBSE, State Board, Olympiad, and scholarship examinations.
Related links
- 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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