Mathematics is one of the most important subjects in the Karnataka SSLC curriculum, and Chapter 13 – Statistics is one of the most practical and data-oriented chapters in the syllabus. This chapter introduces students to statistical methods used for organizing, analyzing, and interpreting grouped data. Students learn how to calculate the Mean, Median, and Mode of grouped frequency distributions and understand the relationship between these three important measures of central tendency.
Statistics plays an important role in everyday life as well as in fields such as economics, business, science, engineering, medicine, education, sports, and research. The ability to analyze data accurately helps students develop logical reasoning, analytical thinking, and problem-solving skills. Throughout this chapter, students learn to interpret frequency tables, calculate class marks, identify median and modal classes, and apply statistical formulas to solve real-world problems.
To strengthen students' conceptual understanding, the Karnataka School Examination and Assessment Board (KSEAB) conducts Lesson Based Assessment (LBA) examinations. These assessments evaluate students' understanding of statistical concepts, calculation skills, logical reasoning, and analytical ability rather than simply testing memorized formulas.
On this page, students can download SSLC Mathematics Chapter 13 – Statistics LBA Question Papers in Version A, Version B, Version C, and Version D. These question papers are prepared according to the latest Karnataka SSLC syllabus and are highly useful for classroom assessments, revision, and examination preparation.
What is Lesson Based Assessment (LBA)?
Lesson Based Assessment (LBA) is a competency-based evaluation system introduced to improve students' conceptual understanding and learning outcomes. Unlike conventional examinations that mainly focus on memorization, LBA encourages students to understand mathematical concepts thoroughly, apply formulas correctly, analyze grouped data logically, and solve practical statistical problems accurately.
In this chapter, students are expected not only to remember statistical formulas but also to interpret frequency distributions, calculate class marks, identify median and modal classes, and determine the Mean, Median, and Mode using appropriate methods.
The assessment evaluates conceptual understanding, logical reasoning, analytical thinking, calculation accuracy, data interpretation, and practical problem-solving ability. Regular practice of these question papers helps students improve confidence, strengthen conceptual clarity, and become familiar with the latest Karnataka assessment pattern.
Importance of Chapter 13 – Statistics
Statistics is one of the most important chapters in SSLC Mathematics because it introduces students to techniques for collecting, organizing, summarizing, and interpreting numerical data. The concepts learned in this chapter are widely used in academics as well as in real-life decision-making.
Students learn to calculate the Mean, Median, and Mode for grouped data, identify the modal and median classes, determine class marks, and apply the empirical relationship between the three measures of central tendency. These concepts are essential in data analysis and are widely used in economics, business, medicine, engineering, social sciences, and scientific research.
A strong understanding of this chapter helps students:
- Build a strong foundation in Statistics.
- Interpret grouped frequency distributions accurately.
- Calculate Mean, Median, and Mode confidently.
- Apply statistical formulas correctly.
- Improve calculation and analytical skills.
- Develop logical reasoning.
- Solve competency-based statistical problems.
- Prepare for higher-level Mathematics and competitive examinations.
Since this chapter frequently appears in classroom assessments and board examinations, mastering these concepts provides long-term academic benefits. The official LBA learning outcomes specifically focus on Mean, Median, Mode for grouped data, and the empirical relationship between these measures of central tendency.
Concepts Covered in Chapter 13
The LBA Question Papers are prepared based on all the important learning outcomes prescribed for Chapter 13.
Major topics include:
- Statistics
- Grouped Frequency Distribution
- Class Interval
- Class Mark (Midpoint)
- Frequency
- Cumulative Frequency
- Mean by Direct Method
- Mean by Assumed Mean Method
- Mean by Step Deviation Method
- Median for Grouped Data
- Modal Class
- Mode for Grouped Data
- Relationship between Mean, Median, and Mode
- Competency-Based Questions
- Application-Based Statistical Problems
Students should understand every concept thoroughly before attempting the LBA Question Papers because each topic contributes to developing strong analytical reasoning, calculation skills, and practical data interpretation. The official LBA material contains competency-based questions covering grouped frequency distributions, class intervals, cumulative frequencies, direct method, assumed mean method, step deviation method, median, mode, and their applications.
Why Practice Statistics LBA Question Papers?
Practicing LBA Question Papers provides much more than examination practice. It helps students strengthen their understanding of statistical concepts, improve calculation accuracy, and develop confidence in solving competency-based mathematical problems.
Some important benefits include:
- Improves conceptual understanding.
- Develops analytical thinking.
- Strengthens data interpretation skills.
- Improves calculation accuracy.
- Enhances formula application.
- Builds examination confidence.
- Helps identify weak concepts.
- Improves logical reasoning.
- Develops time management skills.
- Prepares students for competency-based assessments.
Students who regularly solve multiple LBA Question Papers become familiar with different question patterns and perform better in classroom assessments.
SSLC Mathematics Chapter 13 LBA Question Papers (Version A, B, C & D)
The Karnataka School Examination and Assessment Board (KSEAB) prepares Lesson Based Assessment Question Papers to evaluate students' conceptual understanding, reasoning ability, and application of statistical concepts.
Instead of focusing only on direct formula-based questions, these assessments encourage students to interpret grouped data, analyze frequency tables, calculate Mean, Median, and Mode using different methods, and solve competency-based statistical problems with logical reasoning.
To ensure fairness during classroom assessments, the Chapter 13 Question Papers are prepared in four different versions:
- Version A
- Version B
- Version C
- Version D
Although each version contains different numerical values, data tables, or question arrangements, every paper follows the latest Karnataka SSLC Mathematics syllabus and evaluates the same learning outcomes. Practicing all four versions gives students exposure to a variety of competency-based questions while strengthening every important concept covered in the chapter.
Information about Version A, Version B, Version C & Version D
To provide equal assessment opportunities, four versions of the Chapter 13 LBA Question Paper are prepared.
Each version evaluates the same concepts but presents different grouped data, numerical values, frequency tables, or question arrangements. This approach encourages students to understand statistical concepts rather than memorize procedures.
Practicing all four versions helps students:
- Become familiar with different question patterns.
- Improve conceptual understanding.
- Strengthen analytical reasoning.
- Increase examination confidence.
- Prepare effectively for classroom assessments.
Version A LBA Question Paper
Version A contains a balanced combination of objective, short-answer, competency-based, calculation-based, and application-oriented questions from Chapter 13.
Students can use this version to:
- Understand the examination pattern.
- Practice Mean calculations.
- Improve data interpretation skills.
- Strengthen grouped data concepts.
- Build confidence before school assessments.
Version B LBA Question Paper
Version B follows the same assessment framework while presenting another carefully prepared collection of questions covering all the major concepts of Statistics.
Practicing this version helps students:
- Solve additional competency-based questions.
- Improve analytical thinking.
- Strengthen Mean, Median, and Mode calculations.
- Revise grouped frequency distributions.
- Gain confidence through continuous practice.
Version C LBA Question Paper
Version C introduces another carefully prepared set of questions covering all the important concepts of Statistics. This version is designed to strengthen students' conceptual understanding and improve their ability to solve competency-based and calculation-oriented questions with confidence.
The questions in Version C focus on calculating the Mean, Median, and Mode for grouped data, identifying class marks and cumulative frequencies, selecting appropriate statistical methods, and applying formulas accurately. Students are encouraged to understand the logic behind statistical calculations instead of simply memorizing formulas.
Practicing Version C helps students:
- Strengthen conceptual clarity.
- Improve logical reasoning.
- Revise important statistical formulas.
- Develop confidence in solving grouped data problems.
- Improve accuracy in Mean, Median, and Mode calculations.
Students should complete this version after practicing Versions A and B to gain better exposure to different question patterns and strengthen their overall preparation.
Version D LBA Question Paper
Version D provides students with another opportunity to evaluate their preparation through a different collection of competency-based and application-oriented questions. This version covers all the important learning outcomes prescribed for Chapter 13 and helps students assess their readiness before appearing for classroom assessments.
The question paper includes problems based on grouped frequency distributions, class intervals, class marks, cumulative frequency, Mean by different methods, Median, Mode, empirical relationship between Mean, Median and Mode, and practical statistical applications.
Students should attempt Version D after completing Versions A, B, and C. Solving all four versions helps students revise the complete chapter thoroughly and become confident in solving different styles of statistical problems.
Completing all four versions enables students to:
- Experience different question patterns.
- Improve conceptual understanding.
- Strengthen analytical reasoning.
- Enhance calculation skills.
- Prepare effectively for school assessments.
Types of Questions Included
The Chapter 13 LBA Question Papers contain different categories of questions designed to evaluate conceptual understanding, logical reasoning, calculation skills, and statistical analysis.
These include:
- Multiple Choice Questions (MCQs)
- Fill in the Blanks
- One-Mark Questions
- Short Answer Questions
- Competency-Based Questions
- Application-Based Questions
- Mean Calculation Problems
- Median Calculation Problems
- Mode Calculation Problems
- Grouped Data Interpretation Questions
- Formula-Based Questions
This balanced combination of questions helps students improve conceptual understanding, mathematical accuracy, statistical reasoning, and practical data analysis skills. The official LBA material contains competency-based questions covering Mean by direct, assumed mean, and step deviation methods, Median, Mode, cumulative frequency, modal class, midpoint, and the empirical relationship between Mean, Median, and Mode.
Question Paper Structure
The Chapter 13 LBA Question Papers follow the latest assessment pattern prescribed for Karnataka SSLC students.
Each question paper generally includes:
- Total Marks: 20
- Duration: 40 Minutes
- Total Questions: 11
The assessment consists of:
- Multiple Choice Questions
- One-Mark Questions
- Two-Mark Questions
- Three-Mark Questions
- Four-Mark Question
The paper is carefully designed to evaluate conceptual understanding, reasoning ability, mathematical calculations, statistical interpretation, and formula application.
How to Prepare for Chapter 13 – Statistics
A systematic preparation strategy can significantly improve performance in Lesson Based Assessment examinations.
Understand the Basic Statistical Concepts
Begin by understanding the concepts of grouped data, class intervals, frequency, class marks, cumulative frequency, Mean, Median, and Mode. A strong conceptual foundation makes calculations easier and more accurate.
Learn All Mean Calculation Methods
Practice calculating the Mean using the Direct Method, Assumed Mean Method, and Step Deviation Method. Understanding all three methods helps students solve different types of competency-based questions efficiently.
Practice Median and Mode Calculations
Students should become familiar with identifying the median class, modal class, cumulative frequency, and applying the correct formulas for grouped data. Practice several examples to improve speed and accuracy.
Understand the Relationship Between Mean, Median, and Mode
Learn the empirical relationship among the three measures of central tendency and practice solving problems where one value is calculated using the other two.
Improve Calculation Accuracy
Statistics requires careful calculations. Practice arithmetic operations, class mark calculations, and formula substitutions without making computational errors.
Practice All Four Versions
Attempt Version A, Version B, Version C, and Version D without referring to notes. Solving all versions exposes students to different question patterns and strengthens conceptual understanding.
Revise Regularly
Regular revision helps students remember formulas, improve calculation speed, reduce mistakes, and perform confidently during examinations.
Common Mistakes Students Make
Many students lose marks because of avoidable mistakes rather than a lack of knowledge.
Common mistakes include:
- Choosing the wrong class interval while calculating the Median.
- Identifying the incorrect modal class.
- Making errors while calculating class marks.
- Using incorrect formulas for Mean, Median, or Mode.
- Forgetting to calculate cumulative frequency.
- Making arithmetic mistakes during calculations.
- Misinterpreting grouped frequency tables.
- Skipping important calculation steps.
- Practicing only one version of the question paper.
Avoiding these mistakes helps students improve mathematical accuracy and examination performance.
Benefits of Solving All Four Versions
Practicing all four versions provides students with comprehensive preparation for classroom assessments.
Students can:
- Experience different question patterns.
- Improve conceptual understanding.
- Increase confidence.
- Strengthen calculation skills.
- Improve analytical reasoning.
- Enhance statistical interpretation skills.
- Develop better problem-solving ability.
- Improve time management.
- Prepare effectively for competency-based assessments.
- Identify weak concepts before examinations.
The more question papers students solve, the better prepared they become for school assessments and the SSLC Board Examination.
Download SSLC Mathematics Chapter 13 Statistics LBA Question Papers PDF
Students can download all four versions of the Chapter 13 – Statistics LBA Question Papers below.
📄 Version A – PDF Download
📄 Version B – PDF Download
📄 Version C – PDF Download
📄 Version D – PDF Download
Students are advised to solve the papers in the order of Version A, Version B, Version C, and Version D. This systematic approach provides effective revision and helps students build confidence before the examination.
Frequently Asked Questions (FAQs)
1. What is the duration of the Chapter 13 LBA examination?
The Chapter 13 LBA examination is conducted for 40 minutes.
2. How many marks does the Chapter 13 LBA test carry?
The test carries 20 marks.
3. Are Versions A, B, C, and D different?
Yes. The questions and their sequence may vary across the four versions. However, every version follows the latest Karnataka SSLC Mathematics syllabus and evaluates the same learning outcomes.
4. Should students solve all four versions?
Yes. Practicing all four versions helps students become familiar with different question patterns and improves their confidence in solving competency-based statistical problems.
5. Which topics are most important in Chapter 13?
Students should focus on Mean, Median, Mode for grouped data, cumulative frequency, class intervals, class marks, grouped frequency distributions, and the empirical relationship between Mean, Median, and Mode.
6. Are these question papers useful for school examinations?
Yes. These question papers are prepared according to the Karnataka Lesson Based Assessment pattern and are highly useful for school unit tests, revision, and classroom assessments.
7. Can practicing these papers improve examination performance?
Yes. Regular practice improves conceptual understanding, calculation accuracy, analytical reasoning, statistical interpretation, and confidence in solving competency-based questions.
8. Where can I download all four versions?
Students can download Version A, Version B, Version C, and Version D from this page.
Conclusion
Chapter 13 – Statistics is one of the most practical chapters in SSLC Mathematics because it teaches students how to organize, analyze, and interpret grouped data using the concepts of Mean, Median, and Mode. A clear understanding of statistical methods helps students solve calculation-based problems accurately while developing strong analytical and logical reasoning skills.
To achieve the best results, students should regularly practice Version A, Version B, Version C, and Version D of the Chapter 13 LBA Question Papers. Solving multiple versions improves conceptual understanding, strengthens calculation skills, enhances statistical analysis, and builds confidence for classroom assessments as well as the final SSLC Board Examination.
Download the SSLC Mathematics Chapter 13 – Statistics LBA Question Papers PDF today and begin your preparation with confidence. Consistent practice, regular revision, and a thorough understanding of statistical concepts are the keys to achieving excellent results in Mathematics.