case study questions class 9 maths chapter 14

Class 9 Maths Case Study Questions Chapter 14 Statistics

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Case study Questions in Class 9 Mathematics Chapter 14  are very important to solve for your exam. Class 9 Maths Chapter 14 Case Study Questions have been prepared for the latest exam pattern. You can check your knowledge by solving  Class 9 Maths Case Study Questions  Chapter 14 Statistics

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In CBSE Class 9 Maths Paper, Students will have to answer some questions based on Assertion and Reason. There will be a few questions based on case studies and passage-based as well. In that, a paragraph will be given, and then the MCQ questions based on it will be asked.

Statistics Case Study Questions With Answers

Here, we have provided case-based/passage-based questions for Class 9 Maths Chapter 14 Statistics

Case Study/Passage-Based Questions

Case Study 1: The Class teacher of Class X prepares the result analysis of a student. She compares the marks of a student obtained in Class IX (2018-19) and Class X (2019-20) using the double bar graph as shown below:

(i) In which subject has the performance improved the most? (a) Maths (b) Social Science (c) Science (d) English

Ans: (a) Maths

(ii) In which subject has the performance deteriorated? (a) Maths (b) Social Science (c) Science (d) English

Ans: (d) English

(iii) In which subject is the performance at par? (a) Hindi (b) Maths (c) Science (d) English

Ans: (a) Hindi

(iv) What is the difference in Maths Subject? (a) 5 (b) 30 (c) 0 (d) 10

(v) What is the percentage of marks obtained by a student in Class X (2019-20)? (a) 60% (b) 55% (c) 54% (d) 65%

Ans: (b) 55%

Case Study 2: A Mathematics teacher asks students to collect marks of Mathematics in Half yearly exams. She instructed all the students to prepare a frequency distribution table using the data collected. Ram collected the following marks (out of 50) obtained in Mathematics by 60 students of Class IX 21, 10, 30, 22, 33, 5, 37, 12, 25, 42, 15, 39, 26, 32, 18, 27, 28, 19, 29, 35, 31, 24, 36, 18, 20, 38, 22, 44, 16, 24, 10, 27, 39, 28, 49, 29, 32, 23, 31, 21, 34, 22, 23, 36, 24, 36, 33, 47, 48, 50, 39, 20, 7, 16, 36, 45, 47, 30, 22, 17.

(i) How many students scored more than 20 but less than 30? (a) 20 (b) 21 (c) 22 (d) 23

(ii) How many students scored less than 20 marks? (a) 10 (b) 11 (c) 12 (d) 14

(iii) How many students scored more than 60% marks? (a) 20 (b) 25 (c) 26 (d) 27

(iv) What is the class size of the classes? (a) 10 (b) 5 (c) 15 (d) 20

(v) What is the class mark of the class interval 30 – 40? (a) 30 (b) 35 (c) 40 (d) 70

Case Study 3:

Anil is a Mathematics teacher in Hyderabad. After Periodic test 3, he asks students to collect the Mathematics marks of all the students of Class IX- A, B, and C. A student is able to collect marks from some students. Rekha scored least mark 6 in the class and Ram scored the highest mark 59 in the class. He prepares the frequency distribution table using the collected marks and draws Histogram using the table as shown in the adjoining figure.

(a) What is the width of the class? (i) 10 (ii) 15 (iii) 5 (iv) none of these

(b) What is the total number of students in the Histogram? (i) 50 (ii) 60 (iii) 65 (iv) none of these

(c) How many students scored 50% and above marks? (i) 19 (ii) 26 (iii) 27 (iv) none of these

(d) How many students scored less than 50% marks? (i) 19 (ii) 26 (iii) 27 (iv) none of these

(e) What is the range of the collected marks? (i) 60 (ii) 59 (iii) 53 (iv) none of these

Hope the information shed above regarding Case Study and Passage Based Questions for Class 9 Mathematics Chapter 14 Statistics with Answers Pdf free download has been useful to an extent. If you have any other queries about CBSE Class 9 Maths Statistics Case Study and Passage Based Questions with Answers, feel free to comment below so that we can revert back to us at the earliest possible By Team Study Rate

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CBSE Class 9 Maths Case Study Questions PDF Download

Download Class 9 Maths Case Study Questions to prepare for the upcoming CBSE Class 9 Exams 2023-24. These Case Study and Passage Based questions are published by the experts of CBSE Experts for the students of CBSE Class 9 so that they can score 100% in Exams.

Case study questions play a pivotal role in enhancing students’ problem-solving skills. By presenting real-life scenarios, these questions encourage students to think beyond textbook formulas and apply mathematical concepts to practical situations. This approach not only strengthens their understanding of mathematical concepts but also develops their analytical thinking abilities.

Table of Contents

CBSE Class 9th MATHS: Chapterwise Case Study Questions

Inboard exams, students will find the questions based on assertion and reasoning. Also, there will be a few questions based on case studies. In that, a paragraph will be given, and then the MCQ questions based on it will be asked. For Class 9 Maths Case Study Questions, there would be 5 case-based sub-part questions, wherein a student has to attempt 4 sub-part questions.

Chapterwise Case Study Questions of Class 9 Maths

• Case Study Questions for Chapter 1 Number System
• Case Study Questions for Chapter 2 Polynomials
• Case Study Questions for Chapter 3 Coordinate Geometry
• Case Study Questions for Chapter 4 Linear Equations in Two Variables
• Case Study Questions for Chapter 5 Introduction to Euclid’s Geometry
• Case Study Questions for Chapter 6 Lines and Angles
• Case Study Questions for Chapter 7 Triangles
• Case Study Questions for Chapter 8 Quadrilaterals
• Case Study Questions for Chapter 9 Areas of Parallelograms and Triangles
• Case Study Questions for Chapter 10 Circles
• Case Study Questions for Chapter 11 Constructions
• Case Study Questions for Chapter 12 Heron’s Formula
• Case Study Questions for Chapter 13 Surface Area and Volumes
• Case Study Questions for Chapter 14 Statistics
• Case Study Questions for Chapter 15 Probability

Checkout: Class 9 Science Case Study Questions

And for mathematical calculations, tap Math Calculators which are freely proposed to make use of by calculator-online.net

The above  Class 9 Maths Case Study Question s will help you to boost your scores as Case Study questions have been coming in your examinations. These CBSE Class 9 Maths Case Study Questions have been developed by experienced teachers of cbseexpert.com for the benefit of Class 10 students.

Class 9 Maths Syllabus 2023-24

UNIT I: NUMBER SYSTEMS

1. REAL NUMBERS (18 Periods)

1. Review of representation of natural numbers, integers, and rational numbers on the number line. Rational numbers as recurring/ terminating decimals. Operations on real numbers.

2. Examples of non-recurring/non-terminating decimals. Existence of non-rational numbers (irrational numbers) such as √2, √3 and their representation on the number line. Explaining that every real number is represented by a unique point on the number line and conversely, viz. every point on the number line represents a unique real number.

3. Definition of nth root of a real number.

4. Rationalization (with precise meaning) of real numbers of the type

(and their combinations) where x and y are natural number and a and b are integers.

5. Recall of laws of exponents with integral powers. Rational exponents with positive real bases (to be done by particular cases, allowing learner to arrive at the general laws.)

UNIT II: ALGEBRA

1. POLYNOMIALS (26 Periods)

Definition of a polynomial in one variable, with examples and counter examples. Coefficients of a polynomial, terms of a polynomial and zero polynomial. Degree of a polynomial. Constant, linear, quadratic and cubic polynomials. Monomials, binomials, trinomials. Factors and multiples. Zeros of a polynomial. Motivate and State the Remainder Theorem with examples. Statement and proof of the Factor Theorem. Factorization of ax2 + bx + c, a ≠ 0 where a, b and c are real numbers, and of cubic polynomials using the Factor Theorem. Recall of algebraic expressions and identities. Verification of identities:

RELATED STORIES

and their use in factorization of polynomials.

2. LINEAR EQUATIONS IN TWO VARIABLES (16 Periods)

Recall of linear equations in one variable. Introduction to the equation in two variables. Focus on linear equations of the type ax + by + c=0.Explain that a linear equation in two variables has infinitely many solutions and justify their being written as ordered pairs of real numbers, plotting them and showing that they lie on a line.

UNIT III: COORDINATE GEOMETRY COORDINATE GEOMETRY (7 Periods)

The Cartesian plane, coordinates of a point, names and terms associated with the coordinate plane, notations.

UNIT IV: GEOMETRY

1. INTRODUCTION TO EUCLID’S GEOMETRY (7 Periods)

History – Geometry in India and Euclid’s geometry. Euclid’s method of formalizing observed phenomenon into rigorous Mathematics with definitions, common/obvious notions, axioms/postulates and theorems. The five postulates of Euclid. Showing the relationship between axiom and theorem, for example: (Axiom)

1. Given two distinct points, there exists one and only one line through them. (Theorem)

2. (Prove) Two distinct lines cannot have more than one point in common.

2. LINES AND ANGLES (15 Periods)

1. (Motivate) If a ray stands on a line, then the sum of the two adjacent angles so formed is 180O and the converse.

2. (Prove) If two lines intersect, vertically opposite angles are equal.

3. (Motivate) Lines which are parallel to a given line are parallel.

3. TRIANGLES (22 Periods)

1. (Motivate) Two triangles are congruent if any two sides and the included angle of one triangle is equal to any two sides and the included angle of the other triangle (SAS Congruence).

2. (Prove) Two triangles are congruent if any two angles and the included side of one triangle is equal to any two angles and the included side of the other triangle (ASA Congruence).

3. (Motivate) Two triangles are congruent if the three sides of one triangle are equal to three sides of the other triangle (SSS Congruence).

4. (Motivate) Two right triangles are congruent if the hypotenuse and a side of one triangle are equal (respectively) to the hypotenuse and a side of the other triangle. (RHS Congruence)

5. (Prove) The angles opposite to equal sides of a triangle are equal.

6. (Motivate) The sides opposite to equal angles of a triangle are equal.

4. QUADRILATERALS (13 Periods)

1. (Prove) The diagonal divides a parallelogram into two congruent triangles.

2. (Motivate) In a parallelogram opposite sides are equal, and conversely.

3. (Motivate) In a parallelogram opposite angles are equal, and conversely.

4. (Motivate) A quadrilateral is a parallelogram if a pair of its opposite sides is parallel and equal.

5. (Motivate) In a parallelogram, the diagonals bisect each other and conversely.

6. (Motivate) In a triangle, the line segment joining the mid points of any two sides is parallel to the third side and in half of it and (motivate) its converse.

5. CIRCLES (17 Periods)

1. (Prove) Equal chords of a circle subtend equal angles at the center and (motivate) its converse.

2. (Motivate) The perpendicular from the center of a circle to a chord bisects the chord and conversely, the line drawn through the center of a circle to bisect a chord is perpendicular to the chord.

3. (Motivate) Equal chords of a circle (or of congruent circles) are equidistant from the center (or their respective centers) and conversely.

4. (Prove) The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.

5. (Motivate) Angles in the same segment of a circle are equal.

6. (Motivate) If a line segment joining two points subtends equal angle at two other points lying on the same side of the line containing the segment, the four points lie on a circle.

7. (Motivate) The sum of either of the pair of the opposite angles of a cyclic quadrilateral is 180° and its converse.

UNIT V: MENSURATION 1.

1. AREAS (5 Periods)

Area of a triangle using Heron’s formula (without proof)

2. SURFACE AREAS AND VOLUMES (17 Periods)

Surface areas and volumes of spheres (including hemispheres) and right circular cones.

UNIT VI: STATISTICS & PROBABILITY

STATISTICS (15 Periods)

 Bar graphs, histograms (with varying base lengths), and frequency polygons.

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Benefits of Practicing CBSE Class 9 Maths Case Study Questions

Regular practice of CBSE Class 9 Maths case study questions offers several benefits to students. Some of the key advantages include:

• Deeper Understanding : Case study questions foster a deeper understanding of mathematical concepts by connecting them to real-world scenarios. This improves retention and comprehension.
• Practical Application : Students learn to apply mathematical concepts to practical situations, preparing them for real-life problem-solving beyond the classroom.
• Critical Thinking : Case study questions require students to think critically, analyze data, and devise appropriate solutions. This nurtures their critical thinking abilities, which are valuable in various academic and professional domains.
• Exam Readiness : By practicing case study questions, students become familiar with the question format and gain confidence in their problem-solving abilities. This enhances their readiness for CBSE Class 9 Maths exams.
• Holistic Development: Solving case study questions cultivates not only mathematical skills but also essential life skills like analytical thinking, decision-making, and effective communication.

Tips to Solve CBSE Class 9 Maths Case Study Questions Effectively

Solving case study questions can be challenging, but with the right approach, you can excel. Here are some tips to enhance your problem-solving skills:

• Read the case study thoroughly and understand the problem statement before attempting to solve it.
• Identify the relevant data and extract the necessary information for your solution.
• Break down complex problems into smaller, manageable parts to simplify the solution process.
• Apply the appropriate mathematical concepts and formulas, ensuring a solid understanding of their principles.
• Clearly communicate your solution approach, including the steps followed, calculations made, and reasoning behind your choices.
• Practice regularly to familiarize yourself with different types of case study questions and enhance your problem-solving speed.Class 9 Maths Case Study Questions

Remember, solving case study questions is not just about finding the correct answer but also about demonstrating a logical and systematic approach. Now, let’s explore some resources that can aid your preparation for CBSE Class 9 Maths case study questions.

Q1. Are case study questions included in the Class 9 Maths Case Study Questions syllabus?

Yes, case study questions are an integral part of the CBSE Class 9 Maths syllabus. They are designed to enhance problem-solving skills and encourage the application of mathematical concepts to real-life scenarios.

Q2. How can solving case study questions benefit students ?

Solving case study questions enhances students’ problem-solving skills, analytical thinking, and decision-making abilities. It also bridges the gap between theoretical knowledge and practical application, making mathematics more relevant and engaging.

Q3. How do case study questions help in exam preparation?

Case study questions help in exam preparation by familiarizing students with the question format, improving analytical thinking skills, and developing a systematic approach to problem-solving. Regular practice of case study questions enhances exam readiness and boosts confidence in solving such questions.

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CBSE Class 9th Maths 2023 : 30 Most Important Case Study Questions with Answers; Download PDF

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CBSE Class 9 Maths exam 2022-23 will have a set of questions based on case studies in the form of MCQs. CBSE Class 9 Maths Question Bank on Case Studies given in this article can be very helpful in understanding the new format of questions.

Each question has five sub-questions, each followed by four options and one correct answer. Students can easily download these questions in PDF format and refer to them for exam preparation.

CBSE Class 9 All Students can also Download here Class 9 Other Study Materials in PDF Format.

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CBSE Class 9 Mathematics Case Study Questions

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If you’re looking for a comprehensive and reliable study resource and case study questions for class 9 CBSE, myCBSEguide is the perfect door to enter. With over 10,000 study notes, solved sample papers and practice questions, it’s got everything you need to ace your exams. Plus, it’s updated regularly to keep you aligned with the latest CBSE syllabus . So why wait? Start your journey to success with myCBSEguide today!

Significance of Mathematics in Class 9

Mathematics is an important subject for students of all ages. It helps students to develop problem-solving and critical-thinking skills, and to think logically and creatively. In addition, mathematics is essential for understanding and using many other subjects, such as science, engineering, and finance.

CBSE Class 9 is an important year for students, as it is the foundation year for the Class 10 board exams. In Class 9, students learn many important concepts in mathematics that will help them to succeed in their board exams and in their future studies. Therefore, it is essential for students to understand and master the concepts taught in Class 9 Mathematics .

Case studies in Class 9 Mathematics

A case study in mathematics is a detailed analysis of a particular mathematical problem or situation. Case studies are often used to examine the relationship between theory and practice, and to explore the connections between different areas of mathematics. Often, a case study will focus on a single problem or situation and will use a variety of methods to examine it. These methods may include algebraic, geometric, and/or statistical analysis.

Example of Case study questions in Class 9 Mathematics

The Central Board of Secondary Education (CBSE) has included case study questions in the Class 9 Mathematics paper. This means that Class 9 Mathematics students will have to solve questions based on real-life scenarios. This is a departure from the usual theoretical questions that are asked in Class 9 Mathematics exams.

The following are some examples of case study questions from Class 9 Mathematics:

Class 9 Mathematics Case study question 1

There is a square park ABCD in the middle of Saket colony in Delhi. Four children Deepak, Ashok, Arjun and Deepa went to play with their balls. The colour of the ball of Ashok, Deepak,  Arjun and Deepa are red, blue, yellow and green respectively. All four children roll their ball from centre point O in the direction of   XOY, X’OY, X’OY’ and XOY’ . Their balls stopped as shown in the above image.

Answer the following questions:

Answer Key:

Class 9 Mathematics Case study question 2

• Now he told Raju to draw another line CD as in the figure
• The teacher told Ajay to mark  ∠ AOD  as 2z
• Suraj was told to mark  ∠ AOC as 4y
• Clive Made and angle  ∠ COE = 60°
• Peter marked  ∠ BOE and  ∠ BOD as y and x respectively

Now answer the following questions:

• 2y + z = 90°
• 2y + z = 180°
• 4y + 2z = 120°
• (a) 2y + z = 90°

Class 9 Mathematics Case study question 3

• (a) 31.6 m²
• (c) 513.3 m³
• (b) 422.4 m²

Class 9 Mathematics Case study question 4

How to Answer Class 9 Mathematics Case study questions

To crack case study questions, Class 9 Mathematics students need to apply their mathematical knowledge to real-life situations. They should first read the question carefully and identify the key information. They should then identify the relevant mathematical concepts that can be applied to solve the question. Once they have done this, they can start solving the Class 9 Mathematics case study question.

Students need to be careful while solving the Class 9 Mathematics case study questions. They should not make any assumptions and should always check their answers. If they are stuck on a question, they should take a break and come back to it later. With some practice, the Class 9 Mathematics students will be able to crack case study questions with ease.

Class 9 Mathematics Curriculum at Glance

At the secondary level, the curriculum focuses on improving students’ ability to use Mathematics to solve real-world problems and to study the subject as a separate discipline. Students are expected to learn how to solve issues using algebraic approaches and how to apply their understanding of simple trigonometry to height and distance problems. Experimenting with numbers and geometric forms, making hypotheses, and validating them with more observations are all part of Math learning at this level.

The suggested curriculum covers number systems, algebra, geometry, trigonometry, mensuration, statistics, graphing, and coordinate geometry, among other topics. Math should be taught through activities that include the use of concrete materials, models, patterns, charts, photographs, posters, and other visual aids.

CBSE Class 9 Mathematics (Code No. 041)

Class 9 Mathematics question paper design

The CBSE Class 9 mathematics question paper design is intended to measure students’ grasp of the subject’s fundamental ideas. The paper will put their problem-solving and analytical skills to the test. Class 9 mathematics students are advised to go through the question paper pattern thoroughly before they start preparing for their examinations. This will help them understand the paper better and enable them to score maximum marks. Refer to the given Class 9 Mathematics question paper design.

QUESTION PAPER DESIGN (CLASS 9 MATHEMATICS)

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Class 9 is an important milestone in a student’s life. It is the last year of high school and the last chance to score well in the CBSE board exams. myCBSEguide is the perfect platform for students to get started on their preparations for Class 9 Mathematics. myCBSEguide provides comprehensive study material for all subjects, including practice questions, sample papers, case study questions and mock tests. It also offers tips and tricks on how to score well in exams. myCBSEguide is the perfect door to enter for class 9 CBSE preparations.

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14 thoughts on “CBSE Class 9 Mathematics Case Study Questions”

This method is not easy for me

aarti and rashika are two classmates. due to exams approaching in some days both decided to study together. during revision hour both find difficulties and they solved each other’s problems. aarti explains simplification of 2+ ?2 by rationalising the denominator and rashika explains 4+ ?2 simplification of (v10-?5)(v10+ ?5) by using the identity (a – b)(a+b). based on above information, answer the following questions: 1) what is the rationalising factor of the denominator of 2+ ?2 a) 2-?2 b) 2?2 c) 2+ ?2 by rationalising the denominator of aarti got the answer d) a) 4+3?2 b) 3+?2 c) 3-?2 4+ ?2 2+ ?2 d) 2-?3 the identity applied to solve (?10-?5) (v10+ ?5) is a) (a+b)(a – b) = (a – b)² c) (a – b)(a+b) = a² – b² d) (a-b)(a+b)=2(a² + b²) ii) b) (a+b)(a – b) = (a + b

MATHS PAAGAL HAI

All questions was easy but search ? hard questions. These questions was not comparable with cbse. It was totally wastage of time.

Where is search ? bar

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CBSE Class 9 Maths Most Important Case Study Based Questions With Solution

Cbse class 9 mathematics case study questions.

In this post I have provided CBSE Class 9 Maths Case Study Based Questions With Solution. These questions are very important for those students who are preparing for their final class 9 maths exam.

All these questions provided in this article are with solution which will help students for solving the problems. Dear students need to practice all these questions carefully with the help of given solutions.

As you know CBSE Class 9 Maths exam will have a set of cased study based questions in the form of MCQs. CBSE Class 9 Maths Question Bank given in this article can be very helpful in understanding the new format of questions for new session.

All Of You Can Also Read

Case studies in class 9 mathematics.

The Central Board of Secondary Education (CBSE) has included case study based questions in the Class 9 Mathematics paper in current session. According to new pattern CBSE Class 9 Mathematics students will have to solve case based questions. This is a departure from the usual theoretical conceptual questions that are asked in Class 9 Maths exam in this year.

Each question provided in this post has five sub-questions, each followed by four options and one correct answer. All CBSE Class 9th Maths Students can easily download these questions in PDF form with the help of given download Links and refer for exam preparation.

There is many more free study materials are available at Maths And Physics With Pandey Sir website. For many more books and free study material all of you can visit at this website.

Given Below Are CBSE Class 9th Maths Case Based Questions With Their Respective Download Links.

NCERT Solutions Class 9 Maths Chapter 14 Statistics

The NCERT solutions for Class 9 maths Chapter 14 Statistics covers the branch of mathematics, which deals with the study of the collection, organization, and interpretation of data known as statistics. We come across several forms of information through various sources. This information may consist of facts or figures and is referred to as data. Our world is becoming increasingly information-centric. Data is used in every aspect of our life in some way or the other. Class 9 Maths NCERT Solutions Chapter 14 Statistics teaches how to extract useful information from such data.

The topics presented in the chapter will help in grasping the concepts of data collection and the distinction between primary and secondary data. The students will get to learn the various ways of graphical representation of data, alongwith the measures of central tendency like mean, median, and mode . The pdf format of the NCERT solutions Class 9 maths Chapter 14 Statistics can be found below and also find some of these in the exercises given below.

• NCERT Solutions Class 9 Maths Chapter 14 Ex 14.1
• NCERT Solutions Class 9 Maths Chapter 14 Ex 14.2
• NCERT Solutions Class 9 Maths Chapter 14 Ex 14.3
• NCERT Solutions Class 9 Maths Chapter 14 Ex 14.4

NCERT Solutions for Class 9 Maths Chapter 14 PDF

NCERT solutions for Class 9 maths Chapter 14 Statistics has questions that will help the students learn about the primary and secondary data, how to arrange ungrouped data, and find mean, median, mode. These questions in each section of the chapter can be accessed through the links below :

☛ Download Class 9 Maths NCERT Solutions Chapter 14 Statistics

NCERT Class 9 Maths Chapter 14   Download PDF

NCERT Solutions for Class 9 Maths Chapter 14 Statistics

The NCERT solutions offer a good mix of questions that allow the students to investigate a wide range of concepts. Consistent practice will help them learn the concepts better. The expert team at NCERT has done thorough research and has come up with these questions, which makes them incredibly significant. A detailed analysis of NCERT Solutions Class 9 Maths Chapter 14 Statistics can be seen below :

• Class 9 Maths Chapter 14 Ex 14.1 - 2 Questions
• Class 9 Maths Chapter 14 Ex 14.2 - 9 Questions
• Class 9 Maths Chapter 14 Ex 14.3 - 9 Questions
• Class 9 Maths Chapter 14 Ex 14.4 - 6 Questions

☛ Download Class 9 Maths Chapter 14 NCERT Book

Topics Covered : The class 9 maths NCERT solutions Chapter 14 covers the definition of data, how to collect data, what is primary and secondary data, graphical representation of data, bar graphs, histogram, and frequency polygon , as well as the measure of central tendency such as mean, median, and mode.

Total Questions : The class 9 maths Chapter 14 Statistics Chapter 14 has 26 questions, majority of them are easy and formula-based. Around 2 are very basic short answer kind theoretical questions, 20 are moderately easy with the application of appropriate formulas and depiction of graphs , while the remaining 4 can be a little time-consuming.

List of Formulas in NCERT Solutions Class 9 Maths Chapter 14

The NCERT Solutions Class 9 Maths Chapter 14 Statistics include a wide range of important concepts with formulas that are necessary for learning statistics. Like the concept of calculating mean, median, and mode. The term "mean” refers to the average value, whereas "mode" is the most common value. Some important formulas covered in NCERT solutions for Class 9 maths Chapter 14 are given below :

• Class-mark = (Upper limit + Lower limit)/ 2
• Mean = Sum of the observations / Total number of observations

Important Questions for Class 9 Maths NCERT Solutions Chapter 14

Video solutions for class 9 maths ncert chapter 14, faqs on ncert solutions class 9 maths chapter 14, how cbse students can utilize ncert solutions class 9 maths chapter 14 effectively.

The NCERT Solutions Class 9 Maths Chapter 14 has all the concepts covered with the help of detailed examples. The students should make sure to practice all the solved examples by themselves, this will help them understand the concepts and formulas more effectively rather than just reading the examples. Also, there are highlighted texts in the chapter which showcase important concepts that the students must take note of. In this way, the students can utilize the NCERT Solutions Class 9 Maths Chapter 14 effectively.

Why Should I Practice NCERT Solutions Class 9 Maths Statistics Chapter 14?

T he NCERT Solutions Class 9 Maths Statistics Chapter 14 has been written by experts in their fields to ensure that all major areas of statistics, such as data collection and analysis, as well as data representation, are covered in a manner that is easily understood by everyone. Also, the CBSE board recommends studying from the NCERT books , which shows the probability of questions coming in the exams from these books is high, making them an important resource.

Why are NCERT Solutions Class 9 Maths Chapter 14 Important?

Statistics plays an important role in almost all walks of life. The understanding of collecting and analyzing data is important to derive necessary conclusions from it. The concepts behind the same are outlined in a precise and practical manner with the help of appropriate examples making the NCERT Solutions Class 9 Maths Chapter 14 important for the students.

Do I Need to Practice all Questions Provided in Class 9 Maths NCERT Solutions Statistics?

Mathematics requires consistent practice to strengthen the concepts. Each question and example in the NCERT Solutions Class 9 Maths Statistics explains an important topic. All the questions are drafted in a way that will help the students explore a variety in the subject. Thus, it is essential to practice all the questions so as to broaden the understanding of the subject.

What are the Important Topics Covered in NCERT Solutions Class 9 Maths Chapter 14?

The NCERT Solutions Class 9 Maths Chapter 14 deals with the explanation of data, its types, the collection and analysis of the same, the graphical representation of data in the form of bar graphs and histograms, while also covering the measures of central tendency.

How Many Questions are there in NCERT Solutions Class 9 Maths Chapter 14 Statistics?

There are 26 questions in the NCERT Solutions Class 9 Maths Chapter 14 Statistics, which will help the students explore statistics easily. Kids will find a good mix of short and long-form questions in the chapter. Around 20 will be very easy to understand and solve, while the remaining 6 will require some detailed analysis of data.

NCERT Solutions for Class 9 Maths Chapter 14 Statistics

NCERT Solutions for Class 9 Maths Chapter 14 Statistics in Hindi and English Medium. Enhance Your Maths Skills with Class 9 Chapter 14 NCERT Solutions from Tiwari Academy. Discover the NCERT Solutions for Class 9 Maths Chapter 14 on Statistics, available through Tiwari Academy in both Hindi and English mediums. Elevate your understanding of Maths with our comprehensive Chapter 14 solutions. Class 9 Maths Chapter 1 Solution for State Boards Class 9 Maths Chapter 14 Exercise 14.1 Class 9 Maths Chapter 14 Exercise 14.2 Class 9 Maths Chapter 14 Exercise 14.3 Class 9 Maths Chapter 14 Exercise 14.4

Embark on a journey to mathematical mastery with Tiwari Academy’s NCERT Solutions for Class 9 Maths Chapter 14. Our expertly curated resources, available at no cost, provide comprehensive answers to the challenges of Statistics. With solutions accessible in both Hindi and English mediums, we cater to a diverse student population, ensuring every learner is equipped for success in the current academic landscape.

Statistics is more than a branch of mathematics; it’s a tool for understanding the world through data. Chapter 14 for Class 9 Maths introduces students to this fascinating subject, covering topics from data collection to graphical representation. Tiwari Academy’s solutions guide students through each concept with clarity, ensuring they grasp the fundamentals of statistical analysis and are prepared to apply these skills in practical scenarios.

At Tiwari Academy, we believe in the power of quality education. Our NCERT solutions for Chapter 14 are: Expertly Designed : Created by seasoned educators, our solutions provide clear, accurate answers. Student-Friendly : We break down complex statistical concepts into easy-to-understand language. Accessible : Our resources are freely available online, ensuring every student has the opportunity to learn.

We understand the importance of language in learning. That’s why Tiwari Academy offers Chapter 14 solutions in both Hindi and English, removing language barriers and making mathematics accessible to all. Our bilingual resources ensure that students can study in the medium they’re most comfortable with, fostering a better and more inclusive learning environment.

Education is dynamic, and staying updated is key. Tiwari Academy’s solutions are in sync with the latest NCERT books, reflecting any changes or updates in the curriculum. This ensures that our resources are relevant and reliable, providing students with the most current educational content.

Comprehensive Resources for Complete Understanding : Our solutions to Chapter 14 go beyond mere answers. They include: Detailed Explanations : Each answer is accompanied by a thorough explanation to enhance understanding. Graphical Representations : We include graphs and charts where necessary to visualize data. Additional Resources : Students can access PDFs and video solutions for a more in-depth study experience.

Tiwari Academy’s NCERT Solutions for Class 9 Maths Chapter 14 are a gateway to excelling in statistics. With our detailed guides, students can confidently navigate through data sets, mean, median, mode, and graphical representations, laying a solid foundation for future mathematical endeavors. Embrace our solutions and take a step towards academic excellence today.

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NCERT Solutions for Class 9 Maths Chapter 14 Statistics

Ncert solutions for class 9 maths chapter 14 statistics| pdf download.

• Exercise 14.1 Chapter 14 Class 9 Maths NCERT Solutions
• Exercise 14.2 Chapter 14 Class 9 Maths NCERT Solutions
• Exercise 14.3 Chapter 14 Class 9 Maths NCERT Solutions
• Exercise 14.4 Chapter 14 Class 9 Maths NCERT Solutions

NCERT Solutions for Class 9 Maths Chapters:

What are the benefits of ncert solutions for chapter 14 statistics class 9 ncert solutions, find the range of the data 9, 7, 5, 7, 9, 9, 6, 18, 9 and 8., what do you mean by grouped data, what is the class-mark of the class 130 – 150, contact form.

CBSE Class 9 Mathematics Statistics Worksheet

Table of Contents

Access and download a free statistics class 9 worksheet with solutions pdf download. These printable worksheet on statistics class 9 pdf are tailored to the latest syllabus and exam pattern. Practice these CBSE class 9 worksheet chapter 14 statistics with answers to enhance your understanding of Class 9 Mathematics topics. Additionally, avail of PDF worksheets prepared by teachers according to NCERT, and CBSE books for effective exam preparation.

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Target Exam ---

Solve the following questions based on the concepts of Statistics.

• The mean of 5 numbers is 20. If one number is excluded, the mean becomes 16. Find the excluded number.
• The median of the data 5,8,10,12,𝑥,14,16 is 11. Find the value of 𝑥x.
• The mean of 10 observations is 15. On rechecking, it was found that one observation, namely 25, was incorrectly copied as 52. Find the correct mean.
• The mean of 7 observations is 18. If one more observation is added, the new mean becomes 20. Find the added observation.
• The mean of 50 observations was found to be 35. Later, it was discovered that an observation 45 was misread as 54. Find the correct mean.
• The mean of 15 numbers is 45. If each number is multiplied by 4, find the new mean.
• If the mean of 4,8,10,12,18,𝑥 is 11, find the value of 𝑥x.
• The median of the data 4,6,8,10,12,𝑥is 9. Find the value of 𝑥x.
• The mean of 9 observations is 11.5. If one observation 13 is replaced by 8, find the new mean.
• The mean of the following frequency distribution is 45. Find the value of 𝑝p.
• Excluded number = 24
• Correct mean = 14.5
• Added observation = 344
• Correct mean = 34.1
• New mean = 180
• New mean = 11.33311.333

Chapter 14 Statistics worksheet Mathematics CBSE Class 9

All Class 9 Mathematics worksheets are designed according to the latest curriculum and textbooks for the current academic session. Our teachers have meticulously provided answers to facilitate self-assessment. Additionally, numerous MCQs covering various chapter topics are included to enhance comprehension. Access all study resources for Class 9 Mathematics on Infinity Learn.

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Case Study Questions for Class 9 Maths Chapter 12 Herons Formula

Case study questions for class 9 maths chapter 9 areas of parallelograms and triangles, case study questions for class 9 maths chapter 6 lines and angles, case study questions for class 9 maths chapter 7 triangles, case study questions for class 9 maths chapter 5 introduction to euclid’s geometry, case study and passage based questions for class 9 maths chapter 14 statistics, case study questions for class 9 maths chapter 1 real numbers, case study questions for class 9 maths chapter 4 linear equations in two variables, case study questions for class 9 maths chapter 3 coordinate geometry, case study questions for class 9 maths chapter 15 probability, case study questions for class 9 maths chapter 13 surface area and volume, case study questions for class 9 maths chapter 10 circles, case study questions for class 9 maths chapter 9 quadrilaterals, case study questions for class 9 maths chapter 2 polynomials.

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• NCERT Solutions
• NCERT Class 9
• NCERT 9 Maths
• Chapter 14: Statistics
• Exercise 14.4

NCERT Solutions for Class 9 Maths Chapter 14 - Statistics Exercise 14.4

* According to the CBSE Syllabus 2023-24, this chapter has been renumbered as Chapter 12.

NCERT Solutions are very helpful to the students preparing for the examinations. They act as a guide that the students can refer to in case of any doubts. NCERT Solutions for Class 9 Maths Chapter 14 – Statistics Exercise 14.4 contain the solutions to all the questions provided on page number 269 in the textbook.

NCERT Solutions Chapter 14 – Statistics is an important chapter from the examination perspective. There is a chapter on Statistics in Class 10 as well. Having conceptual knowledge of this chapter will help the students grasp the concepts easily in the higher classes as well. NCERT Solutions Maths Class 9 contain the solutions provided by the subject experts. Every step of the solution is explained in detail such that the students find it easy to understand.

The students can practise the exercises provided in the NCERT Solutions and analyse their shortcomings. These solutions will surely help the students score well in the board examinations.

Download the PDF of NCERT Solutions for Class 9 Maths Chapter 14 – Statistics Exercise 14.4

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Access Other Exercise Solutions of Class 9 Maths Chapter 14 – Statistics

Exercise 14.1 Solutions 2 Questions

Exercise 14.2 Solutions 9 Questions

Exercise 14.3 Solutions 9 Questions

Access Answers to NCERT Class 9 Maths Chapter 14 – Statistics Exercise 14.4

1. The following number of goals were scored by a team in a series of 10 matches:

2, 3, 4, 5, 0, 1, 3, 3, 4, 3

Find the mean, median and mode of these scores.

Mean = Average = Sum of all the observations/Total number of observations

= (2+3+4+5+0+1+3+3+4+3)/10

To find the median, we first arrange the data in ascending order.

0, 1, 2, 3, 3, 3, 3, 4, 4, 5

Number of observations (n) = 10

Since the number of observations is even, the median can be calculated as

To find the mode, we first arrange the data in ascending order.

We find that 3 occurs most frequently (4 times)

2. In a Mathematics test given to 15 students, the following marks (out of 100) are recorded.

41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60 Find the mean, median and mode of this data.

Mean=Average = Sum of all the observations/Total number of observations

= (41+39+48+52+46+62+54+40+96+52+98+40+42+52+60)/15

39, 40, 40, 41, 42, 46, 48, 52, 52, 52, 54, 60, 62, 96, 98

Number of observations (n) = 15

Since the number of observations is odd, the median can be calculated as

Median = [(n+1)/2] th observation

= [(15+1)/2] th observation

= (16/2) th observation

= 8 th observation

We find that 52 occurs most frequently (3 times)

∴ Mode = 52

3. The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.

29, 32, 48, 50, x, x+2, 72, 78, 84, 95

Given that Median = 63

63 = [5 th observation+(5+1) th observation]/2

63 = [5 th observation+6 th observation]/2

63 = (x+x+2)/2

63 = (2x+2)/2

4. Find the mode of 14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18.

To find the mode, we first arrange the given data in ascending order.

14,14,14,14,17,18,18,18,22,23,25,28

We find that 14 occurs most frequently (4 times)

∴ Mode = 14

5. Find the mean salary of 60 workers in a factory from the following table.

The mean salary is ₹5083.33

6. Give one example of a situation in which

(i) the mean is an appropriate measure of central tendency.

(ii) the mean is not an appropriate measure of central tendency, but the median is an appropriate measure of central tendency.

(i) Mean marks obtained in the examination

(ii) Runs scored by Mahendra Singh Dhoni in 7 matches are

39, 51, 56, 102, 83, 48, 91

Mean = (39+51+56+102+83+48+91)/7

Arranging in ascending order, we get 39, 48 51, 56, 83, 91, 102

= ( (7+1)/2) th observation

= (8/2) th observation

= 4 th observation

The exercise contains a total of 6 questions based on the concepts of mean, median and mode. The answers to these questions are provided in the NCERT Solutions Class 9 Maths Chapter 14 – Statistics Exercise 14.4. The students can refer to these solutions in case of any doubts.

Key Features of NCERT Solutions for Class 9 Maths Chapter 14 – Statistics Exercise 14.4

• The solutions are provided by the subject experts.
• NCERT Solutions for Class 9 Maths Chapter 14 – Statistics Exercise 14.4 will help the students score well in the  CBSE examinations.
• The answers to the questions provided are accurate.
• All the questions mentioned in the textbook can be found along with the solutions here.

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