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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 solutions. Ideal for CBSE, State Board, Olympiad, and scholarship exam preparation.
Do You Know
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 enables students to organize, represent, and interpret information in a systematic manner. Understanding concepts such as frequency tables, pictographs, and bar graphs helps students analyze data accurately and solve practical problems encountered in daily life.
What You Will Learn?
✔ Organizing raw data
✔ Frequency tables
✔ Reading and interpreting graphs
✔ Pictographs
✔ Comparing frequencies
✔ Application-based data interpretation
✔ Logical reasoning using data
Why This Topic Is Important?
Data Handling is widely used in education, science, business, sports, healthcare, banking, and surveys. A strong understanding of this chapter helps students make informed decisions based on facts and statistics.
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 different games are 9, 14, 11, 8, and 18. What is the average frequency?
A) $$10$$
B) $$11$$
C) $$12$$
D) $$13$$
Answer: $$12$$
Useful Formula for this Question
$$\text{Average}=\frac{\text{Sum of Frequencies}}{\text{Number of Categories}}$$
Concept Behind This Question
Students should calculate the average using the frequencies given.
Step-by-Step Solution
Sum of frequencies
$$9+14+11+8+18=60$$
Number of categories
$$5$$
Average
$$=\frac{60}{5}=12$$
Therefore, the correct answer is:
$$12$$
Exam Tip
Average = Total ÷ Number of Categories.
Q2. In a pictograph, 1 symbol = 4 students. If 22 students are represented, how many complete symbols and half-symbols are required?
A) $$5\frac{1}{2}$$ symbols
B) $$6$$ symbols
C) $$4\frac{1}{2}$$ symbols
D) $$5$$ symbols
Answer: $$5\frac{1}{2}$$ symbols
Useful Formula for this Question
$$\text{Number of Symbols}=\frac{\text{Total Items}}{\text{Value of One Symbol}}$$
Concept Behind This Question
Students should apply the pictograph key correctly.
Step-by-Step Solution
One symbol represents
$$4$$ students.
Required symbols
$$=\frac{22}{4}=5.5$$
Hence,
$$5$$ complete symbols and one half-symbol are required.
Therefore, the correct answer is:
$$5\frac{1}{2}$$ symbols.
Exam Tip
If the answer is not a whole number, use a half-symbol only when permitted by the key.
Q3. A bar graph shows the number of trees planted by four houses.
House A = $$35$$
House B = $$28$$
House C = $$42$$
House D = $$31$$
How many more trees did House C plant than House B?
A) $$12$$
B) $$13$$
C) $$14$$
D) $$15$$
Answer: $$14$$
Useful Formula for this Question
$$\text{Difference}=\text{Greater Value}-\text{Smaller Value}$$
Concept Behind This Question
Students should compare two values shown in a bar graph.
Step-by-Step Solution
Trees planted by House C
$$42$$
Trees planted by House B
$$28$$
Difference
$$42-28=14$$
Therefore, the correct answer is:
$$14$$
Exam Tip
Subtract carefully after identifying the larger value.
Q4. Which statement is incorrect?
A) Raw data is usually unorganized.
B) Frequency is the number of times an observation occurs.
C) A pictograph always requires a key.
D) The bars in a bar graph may have different widths.
Answer: The bars in a bar graph may have different widths.
Useful Concept for this Question
Bars in a standard bar graph must have equal widths.
Concept Behind This Question
Students should identify the incorrect statement.
Step-by-Step Solution
- Raw data is unorganized. ✔
- Frequency means the number of occurrences. ✔
- A pictograph requires a key. ✔
- Bars of different widths make the graph incorrect. ✘
Therefore, the correct answer is:
The bars in a bar graph may have different widths.
Exam Tip
Only the height of the bars changes, not the width.
Q5. A frequency table is given below:
| Fruit | Frequency |
| Apple | $$16$$ |
| Mango | $$21$$ |
| Banana | $$18$$ |
| Orange | $$15$$ |
Which statement is correct?
A) Banana has the highest frequency.
B) Mango has the highest frequency.
C) Orange and Apple have equal frequencies.
D) The total frequency is $$60$$.
Answer: Mango has the highest frequency.
Useful Formula for this Question
The observation with the greatest frequency is the most common.
Concept Behind This Question
Students should compare values from a frequency table.
Step-by-Step Solution
Apple = $$16$$
Mango = $$21$$
Banana = $$18$$
Orange = $$15$$
The highest frequency is
$$21$$
Therefore, the correct answer is:
Mango has the highest frequency.
Exam Tip
Read every value carefully before selecting the highest frequency.
Important Formulas & Concepts
1. Frequency
Frequency = Number of times an observation occurs
2. Average Frequency
$$\text{Average}=\frac{\text{Sum of Frequencies}}{\text{Number of Categories}}$$
3. Pictograph Formula
$$\text{Number of Symbols}=\frac{\text{Total Items}}{\text{Value of One Symbol}}$$
4. Difference Between Two Values
$$\text{Difference}=\text{Greater Value}-\text{Smaller Value}$$
5. Properties of a Bar Graph
- Bars have equal width.
- Equal spacing is maintained.
- Height of each bar represents the value or frequency.
FAQs
1. How do you calculate the average frequency?
Divide the total of all frequencies by the number of categories.
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 should have equal widths.
4. What is raw data?
Raw data is information collected before it is organized.
5. What does the highest frequency represent?
It represents the most common observation.
Common Mistakes
❌ Forgetting to divide while finding the average.
❌ Ignoring the key in a pictograph.
❌ Drawing bars with different widths.
❌ Comparing incorrect values from a table.
❌ Confusing frequency with total observations.
Quick Revision Notes
✔ Frequency means the number of occurrences.
✔ Average = Total Frequency ÷ Number of Categories.
✔ Read the pictograph key carefully.
✔ Compare values before finding differences.
✔ Equal-width bars make a correct bar graph.
✔ Raw data is unorganized.
✔ The highest frequency represents the most common observation.
Conclusion
Data Handling is a practical and important chapter that helps students organize and interpret information accurately. By mastering frequency tables, pictographs, and bar graphs, students improve their analytical thinking and problem-solving abilities. Regular practice with moderate-to-difficult MCQs enhances confidence and prepares students for school examinations, Olympiads, and scholarship tests.
Related links
- 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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