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Practice Class 7 Maths Chapter 3 Data Handling MCQ Questions with Answers based on the latest NCERT syllabus. Solve important MCQs on tally marks, frequency tables, pictographs, bar graphs, data interpretation, and real-life applications with detailed solutions. Ideal for CBSE, State Board, school exams, Olympiads, and scholarship preparation.
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Chapter Information
Subject: Mathematics
Class: 7
Chapter: Data Handling
Question Type: Multiple Choice Questions (MCQs)
Difficulty Level: Moderate
Based On: NCERT Latest Syllabus (2026)
Introduction
Data Handling teaches students how to collect, organize, represent, and interpret information effectively. By understanding tally marks, frequency tables, pictographs, and bar graphs, students can analyze data accurately and apply these concepts in everyday situations.
What You Will Learn?
✔ Organizing raw data
✔ Frequency and tally marks
✔ Frequency tables
✔ Pictographs
✔ Bar graphs
✔ Data interpretation
✔ Comparing data using graphs
Why This Topic Is Important?
Data Handling is used in schools, businesses, hospitals, sports, weather forecasting, surveys, and scientific research. It helps students make sense of information and develop logical reasoning skills.
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. Which of the following is not used for representing data?
A) Frequency table
B) Pictograph
C) Bar graph
D) Protractor
Answer: Protractor
Useful Concept for this Question
Data is represented using tables and graphs, not measuring instruments.
Concept Behind This Question
Students should identify the tools used in Data Handling.
Step-by-Step Solution
A frequency table, pictograph, and bar graph are methods of data representation.
A protractor is used for measuring angles.
Therefore, the correct answer is:
Protractor
Exam Tip
Do not confuse mathematical instruments with methods of data representation.
Q2. A survey shows that 12 students like football. What is the frequency of football?
A) $$10$$
B) $$12$$
C) $$14$$
D) $$24$$
Answer: $$12$$
Useful Formula for this Question
Frequency = Number of times an observation occurs
Concept Behind This Question
Students should understand the meaning of frequency in real-life situations.
Step-by-Step Solution
The frequency of an observation is simply the number of times it occurs.
Since 12 students like football, the frequency is:
$$12$$
Therefore, the correct answer is:
$$12$$
Exam Tip
The number of observations is the frequency.
Q3. In a pictograph, one ★ represents 4 books. If there are 7 stars, how many books are represented?
A) $$24$$
B) $$26$$
C) $$28$$
D) $$30$$
Answer: $$28$$
Useful Formula for this Question
$$\text{Total Items}=\text{Number of Symbols}\times\text{Value of One Symbol}$$
Concept Behind This Question
Students should use the pictograph key correctly.
Step-by-Step Solution
One ★ = $$4$$ books
Number of stars = $$7$$
$$7\times4=28$$
Therefore, the correct answer is:
$$28$$ books
Exam Tip
Always multiply the number of symbols by the value given in the key.
Q4. Which axis of a vertical bar graph usually shows the categories?
A) Vertical axis (Y-axis)
B) Horizontal axis (X-axis)
C) Both axes
D) Neither axis
Answer: Horizontal axis (X-axis)
Useful Concept for this Question
In a vertical bar graph, categories are placed on the horizontal axis, while values are shown on the vertical axis.
Concept Behind This Question
Students should know the basic structure of a bar graph.
Step-by-Step Solution
A vertical bar graph has:
- Categories on the X-axis
- Values or frequencies on the Y-axis
Therefore, the correct answer is:
Horizontal axis (X-axis)
Exam Tip
Remember:
X-axis → Categories
Y-axis → Values/Frequency
Q5. Which statement about a frequency table is correct?
A) It shows pictures only.
B) It organizes observations and their frequencies.
C) It measures distance.
D) It is used to draw circles.
Answer: It organizes observations and their frequencies.
Useful Concept for this Question
A frequency table records observations along with the number of times they occur.
Concept Behind This Question
Students should understand the purpose of a frequency table.
Step-by-Step Solution
A frequency table helps arrange data in a clear and systematic form, making it easier to analyze.
Therefore, the correct answer is:
It organizes observations and their frequencies.
Exam Tip
Frequency tables are often prepared before drawing graphs.
Important Formulas & Concepts
1. Frequency
Frequency = Number of times an observation occurs
2. Pictograph Formula
$$\text{Total Items}=\text{Number of Symbols}\times\text{Value of One Symbol}$$
3. Tally Marks
Every fifth tally mark crosses the previous four tally marks.
4. Frequency Table
A frequency table organizes raw data into observations and their corresponding frequencies.
5. Vertical Bar Graph
- Categories are shown on the X-axis.
- Values or frequencies are shown on the Y-axis.
- All bars should have equal width and equal spacing.
FAQs
1. What is a frequency?
It is the number of times an observation occurs.
2. Why do we use a frequency table?
To organize data in a simple and systematic manner.
3. How do you find the total items in a pictograph?
Multiply the number of symbols by the value of one symbol.
4. Which axis shows the categories in a vertical bar graph?
The horizontal axis (X-axis).
5. Why should all bars have equal width?
To make the graph clear, accurate, and easy to compare.
Common Mistakes
❌ Forgetting to use the pictograph key.
❌ Confusing frequency with the total number of observations.
❌ Drawing bars with unequal widths.
❌ Mixing up the X-axis and Y-axis.
❌ Ignoring the graph scale while interpreting data.
Quick Revision Notes
✔ Frequency means the number of occurrences.
✔ Prepare a frequency table before drawing a graph.
✔ Always read the key in a pictograph.
✔ Multiply symbols by the key value to find the total.
✔ In a vertical bar graph, the X-axis shows categories.
✔ The Y-axis represents values or frequencies.
✔ Equal-width bars make a graph accurate.
Conclusion
Data Handling is an essential topic that helps students collect, organize, represent, and interpret information effectively. Mastering concepts such as frequency tables, pictographs, and bar graphs develops analytical thinking and improves problem-solving skills. Consistent MCQ practice strengthens conceptual understanding and prepares students for CBSE, State Board, Olympiad, and scholarship examinations.
Related links
- 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
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 7 Maths Chapter 2 Fractions and Decimals
- Class 7 Maths Chapter 2 Fractions and Decimals
- 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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