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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. 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 topic that helps students organize, represent, and interpret information collected from different sources. By learning how to use frequency tables, pictographs, and bar graphs, students can analyze data efficiently and solve practical problems based on real-life situations.
What You Will Learn?
✔ Collecting and organizing data
✔ Frequency tables
✔ Tally marks
✔ Reading pictographs
✔ Interpreting bar graphs
✔ Comparing and analyzing data
✔ Solving real-life application-based questions
Why This Topic Is Important?
Data Handling is used in schools, hospitals, sports, business, scientific research, weather reports, and government surveys. It helps students develop logical thinking, analytical skills, and decision-making abilities.
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 table shows the number of students participating in different school clubs.
| Club | Frequency |
| Music | $$18$$ |
| Dance | $$14$$ |
| Science | $$21$$ |
| Art | $$17$$ |
How many students are participating in all the clubs together?
A) $$68$$
B) $$69$$
C) $$70$$
D) $$71$$
Answer: $$70$$
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
$$18+14+21+17$$
$$=70$$
Therefore, the correct answer is:
$$70$$
Exam Tip
The total number of observations is always obtained by adding all the frequencies.
Q2. In a pictograph,
1 🍎 = 20 apples
How many apples are represented by 6½ symbols?
A) $$120$$
B) $$125$$
C) $$130$$
D) $$135$$
Answer: $$130$$
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 use full and half symbols in a pictograph.
Step-by-Step Solution
One symbol represents
$$20$$ apples.
Number of symbols
$$=6\frac{1}{2}=6.5$$
Therefore,
$$6.5\times20=130$$
Hence, the correct answer is:
$$130$$
Exam Tip
A half-symbol represents half the value of one complete symbol.
Q3. A bar graph shows the number of visitors to a museum during four days.
Monday = $$48$$
Tuesday = $$55$$
Wednesday = $$46$$
Thursday = $$51$$
On which day was the second highest number of visitors recorded?
A) Monday
B) Tuesday
C) Wednesday
D) Thursday
Answer: Thursday
Useful Concept for this Question
Arrange the values from highest to lowest before identifying the second highest.
Concept Behind This Question
Students should compare multiple values carefully.
Step-by-Step Solution
Visitors:
- Tuesday = $$55$$
- Thursday = $$51$$
- Monday = $$48$$
- Wednesday = $$46$$
The second highest value is
$$51$$
Therefore, the correct answer is:
Thursday
Exam Tip
Do not confuse the highest value with the second highest.
Q4. Which of the following statements is true?
A) Frequency can be a decimal number.
B) The sum of all frequencies gives the total observations.
C) Bars in a bar graph may have different widths.
D) A pictograph never requires a key.
Answer: The sum of all frequencies gives the total observations.
Useful Concept for this Question
Frequency always represents the count of observations.
Concept Behind This Question
Students should identify the correct statement related to Data Handling.
Step-by-Step Solution
- Frequency is always a whole number.
- Equal-width bars are necessary.
- Every pictograph requires a key.
- The sum of frequencies equals the total observations.
Therefore, the correct answer is:
The sum of all frequencies gives the total observations.
Exam Tip
Concept-based questions are common in examinations.
Q5. The following data shows the number of books borrowed from a library.
| Class | Books Borrowed |
| VI | $$35$$ |
| VII | $$42$$ |
| VIII | $$38$$ |
| IX | $$45$$ |
How many more books were borrowed by Class IX than Class VI?
A) $$8$$
B) $$9$$
C) $$10$$
D) $$11$$
Answer: $$10$$
Useful Formula for this Question
$$\text{Difference}=\text{Greater Value}-\text{Smaller Value}$$
Concept Behind This Question
Students should compare two values given in a table.
Step-by-Step Solution
Books borrowed by Class IX
$$45$$
Books borrowed by Class VI
$$35$$
Difference
$$45-35=10$$
Therefore, the correct answer is:
$$10$$
Exam Tip
Read the table carefully before performing subtraction.
Important Formulas & Concepts
1. Total Number of Observations
$$\text{Total Observations}=\text{Sum of all Frequencies}$$
2. Frequency
Frequency = Number of times an observation occurs
3. Pictograph Formula
$$\text{Total Items}=\text{Number of Symbols}\times\text{Value of One Symbol}$$
4. Difference Between Two Values
$$\text{Difference}=\text{Greater Value}-\text{Smaller Value}$$
5. Bar Graph Rules
- Bars must have equal width.
- Equal spacing should be maintained.
- Height of the bars represents the value or frequency.
- Categories are shown on the horizontal axis.
FAQs
1. How do you calculate the total number of observations?
By adding all the frequencies together.
2. Can a half-symbol be used in a pictograph?
Yes, if the key allows it.
3. Why is a key important in a pictograph?
It tells the value represented by each symbol.
4. Why should bars have equal width?
To make comparisons accurate and fair.
5. What does the highest frequency indicate?
It represents the most common observation.
Common Mistakes
❌ Forgetting to add all frequencies.
❌ Ignoring half-symbol values in pictographs.
❌ Confusing the highest and second-highest values.
❌ Drawing bars of unequal width.
❌ Reading incorrect values from a table.
Quick Revision Notes
✔ Total observations = Sum of all frequencies.
✔ Frequency is always a whole number.
✔ Every pictograph must have a key.
✔ A half-symbol represents half the value of one symbol.
✔ Compare values carefully before finding the second highest.
✔ Equal-width bars are essential in bar graphs.
✔ Data Handling helps organize and interpret information effectively.
Conclusion
Data Handling is an essential chapter that enables students to organize, compare, and interpret information accurately. Mastering frequency tables, pictographs, and bar graphs develops logical thinking and analytical skills. Regular practice with higher-level MCQs enhances conceptual understanding and prepares students for CBSE, State Board, Olympiad, and scholarship examinations.
Related links
- Class 7 Science Chapter 1 Nutrition in Plants
- Class 7 Maths Chapter 3 Data Handling
- Class 7 Social Science Chapter 1 Tracing Changes Through a Thousand Years
- Class 7 Science Chapter 1 Nutrition in Plants
- Class 7 Maths Chapter 3 Data Handling part-10
- Class 7 Maths Chapter 3 Data Handling part-9
- 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 2 Fractions and Decimals MCQ – Part 2
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