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Practice Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers based on the latest NCERT syllabus. Solve high-quality 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 teaches students how to collect, organize, represent, and interpret information systematically. This chapter helps students analyze numerical data using frequency tables, pictographs, and bar graphs, improving their reasoning and decision-making skills.
What You Will Learn?
✔ Organizing raw data
✔ Frequency tables
✔ Tally marks
✔ Pictographs
✔ Bar graph interpretation
✔ Data comparison
✔ Application-based problem solving
Why This Topic Is Important?
Data Handling is used in schools, businesses, hospitals, sports tournaments, weather reports, scientific research, and government surveys. It enables students to understand information quickly and draw meaningful conclusions from 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 table below shows the number of students participating in different indoor games.
| Game | Frequency |
| Chess | $$16$$ |
| Carrom | $$22$$ |
| Ludo | $$18$$ |
| Table Tennis | $$14$$ |
What is the average number of students participating in these games?
A) $$16$$
B) $$17$$
C) $$17.5$$
D) $$18$$
Answer: $$17.5$$
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 frequency from a frequency table.
Step-by-Step Solution
Total frequency
$$16+22+18+14=70$$
Number of games
$$4$$
Average
$$=\frac{70}{4}=17.5$$
Therefore, the correct answer is:
$$17.5$$
Exam Tip
Average = Total Frequency ÷ Number of Categories.
Q2. In a pictograph,
1 ⭐ = 18 points
How many points are represented by 7½ symbols?
A) $$126$$
B) $$129$$
C) $$135$$
D) $$138$$
Answer: $$135$$
Useful Formula for this Question
$$\text{Total Points}=\text{Number of Symbols}\times\text{Value of One Symbol}$$
Concept Behind This Question
Students should correctly use half-symbols in pictographs.
Step-by-Step Solution
One symbol represents
$$18$$ points.
Number of symbols
$$=7.5$$
Therefore,
$$7.5\times18=135$$
Hence, the correct answer is:
$$135$$
Exam Tip
Half-symbol = Half the value of one complete symbol.
Q3. The following data represents the number of visitors to a science exhibition.
| Day | Visitors |
| Monday | $$64$$ |
| Tuesday | $$58$$ |
| Wednesday | $$71$$ |
| Thursday | $$67$$ |
How many fewer visitors came on Tuesday than on Thursday?
A) $$7$$
B) $$8$$
C) $$9$$
D) $$10$$
Answer: $$9$$
Useful Formula for this Question
$$\text{Difference}=\text{Greater Value}-\text{Smaller Value}$$
Concept Behind This Question
Students should compare two values from the given data.
Step-by-Step Solution
Visitors on Thursday
$$67$$
Visitors on Tuesday
$$58$$
Difference
$$67-58=9$$
Therefore, the correct answer is:
$$9$$
Exam Tip
Identify the greater value before subtracting.
Q4. Which of the following statements is incorrect?
A) A frequency table organizes data.
B) Every pictograph should contain a key.
C) Frequencies may sometimes be negative.
D) Bar graphs are used to compare categories.
Answer: Frequencies may sometimes be negative.
Useful Concept for this Question
Frequency represents the number of occurrences and can never be negative.
Concept Behind This Question
Students should identify the incorrect statement.
Step-by-Step Solution
- Frequency tables organize data. ✔
- Pictographs require a key. ✔
- Bar graphs compare categories. ✔
- Frequency cannot be negative. ✘
Therefore, the correct answer is:
Frequencies may sometimes be negative.
Exam Tip
A frequency is always 0 or a positive whole number.
Q5. The frequencies of favourite school bags are shown below.
| Colour | Frequency |
| Blue | $$25$$ |
| Black | $$19$$ |
| Red | $$13$$ |
| Green | $$23$$ |
Which statement is correct?
A) Red is the second most preferred colour.
B) Green is the least preferred colour.
C) Blue is the most preferred colour.
D) Black and Green have the same frequency.
Answer: Blue is the most preferred colour.
Useful Concept for this Question
The observation with the highest frequency is the most preferred.
Concept Behind This Question
Students should compare all frequencies before selecting the correct statement.
Step-by-Step Solution
Blue = $$25$$
Green = $$23$$
Black = $$19$$
Red = $$13$$
The highest frequency is
$$25$$
Therefore, the correct answer is:
Blue is the most preferred colour.
Exam Tip
Always compare every frequency carefully before choosing the answer.
Important Formulas & Concepts
1. Total Number of Observations
$$\text{Total Observations}=\text{Sum of all Frequencies}$$
2. Average
$$\text{Average}=\frac{\text{Sum of Frequencies}}{\text{Number of Categories}}$$
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. Important Facts
- Frequency can never be negative.
- Every pictograph must have a key.
- Bar graphs compare categories.
- Equal-width bars should be used in bar graphs.
FAQs
1. Can the average frequency be a decimal number?
Yes. The average may be a decimal.
2. Can a frequency be negative?
No. Frequency is always zero or a positive whole number.
3. Why is a key necessary in a pictograph?
It explains the value represented by each symbol.
4. What does the highest frequency indicate?
It indicates the most common observation.
5. Why do we use bar graphs?
Bar graphs help compare different categories easily.
Common Mistakes
❌ Forgetting to divide while calculating the average.
❌ Ignoring half-symbols in pictographs.
❌ Comparing incorrect frequencies.
❌ Assuming frequency can be negative.
❌ Reading graph values incorrectly.
Quick Revision Notes
✔ Total observations = Sum of all frequencies.
✔ Average = Total Frequency ÷ Number of Categories.
✔ Frequency can never be negative.
✔ Every pictograph must include a key.
✔ Highest frequency represents the most common observation.
✔ Bar graphs are used to compare categories.
✔ Equal-width bars make graphs accurate.
Conclusion
Data Handling is an important chapter that helps students organize, represent, and interpret information accurately. Understanding frequency tables, pictographs, bar graphs, and averages strengthens logical reasoning and analytical skills. Regular practice with higher-level MCQs prepares students for CBSE, State Board, Olympiad, and scholarship examinations.
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