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NCERT Solutions for Class 11 Statistics Chapter 4 - Presentation Of Data

Last updated date: 21st Apr 2024
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NCERT Solutions for Class 11 Statistics Chapter 4 - Presentation of Data

Commerce students of Class 11 have Statistics as one of the core subjects in their curriculum. When it comes to Statistics, students require an in-depth understanding of each concept. Regular practice and revision are equally essential to score well in this subject. Thus, apart from textbooks, students also need proper reference material for the lessons. NCERT Solutions are an excellent resource to refer to for Statistics lessons. The first part of the Class 11 Economics syllabus is dedicated to Statistics. Part A or Statistics for Economics include:

  • Introduction

  • Collection, Organisation, and Presentation of Data

  • Statistical Tools and Interpretation


NCERT Solutions for Class 11


Class 11 Statistics

Chapter Name:

Chapter 4 - Presentation Of Data


Text, Videos, Images and PDF Format

Academic Year:



English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes

NCERT Solutions for Class 11 Statistics Chapter 4 Presentation of Data

Chapter 4 in this section, is the Presentation of Data. NCERT solutions for class 11 statistics for economics chapter 4 is also available, which covers every topic of the concerned chapter.

Data Can Be Represented In Two Forms. They Are As Follows

  • Textual Presentation

  • Tabular Presentation

  • Diagrammatic Presentation

In a textual presentation of data, data form a part of the text or description pf the subject matter. The tabular presentation of data, on the other hand, shows a systematic presentation of numerical data. The tabular presentation includes various components. They are:

  • Title

  • Headnote

  • Caption

  • Table number

  • Body or field

  • Footnotes

  • Source

  • Stubs

Under diagrammatic presentation, bar diagrams are one of the most popular types of data presentation. Different types of bar diagram are:

  1. Simple Bar Diagram

  2. Multiple Bar Diagram

  3. Percentage Bar Diagram

  4. Sub Divided Bar Diagram

All of the above topics have been serially detailed in NCERT solutions class 11 statistics chapter 4. The 15 questions included in this chapter provide a proper insight into “Presentation of Data’.

Questions Given in the NCERT Solutions for Class 11 Statistics for Economics Chapter 4

Each question in the NCERT solutions is followed by a precise, appropriate, and relevant answer. The answers which are given in the solution also follow the CBSE pattern of the exam. This helps students get a brief idea regarding the types of questions they might face in the final exams. Here’s a gist of all the questions included in the Statistics class 11 NCERT solutions chapter 4:

Question 1: The very first question in this chapter of NCERT solution is regarding bar diagrams. The question asks whether the bar diagram is a one-dimensional, two-dimensional or non-dimensional diagram. Bar diagrams are single-dimensional. Although it contains two axes in the form of rectangular bars, the width plays no role in data presentation. Only length plays a part in bar diagrams.

Question 2: The second question NCERT solutions for class 11 statistics for economics chapter 4 is directed towards histograms. It asks students the use of histograms. Histograms are used to represent the value of mode of frequency distribution through graphs with the help of the highest rectangle.

Question 3: The third question is regarding ogives. It asks if ogives can be helpful in graphically locating the mean, mode, or median. The answer to this question would be ‘median’. The point of intersection of more than and less than ogives shows the median of data.

Question 4: The 4th question is NCERT solutions class 11 statistics chapter 4 asks what data represented through arithmetic line graph depict. The options in this question include ‘long-term trend’, ‘cyclicity in data’, and ‘seasonality in data’. Arithmetic line graph assists in understanding the periodicity and trend observed in long-term continuous data.

Question 5: The 5th question is based on a true/false statement. The statement given is whether the width of bars in a bar diagram can be unequal. This statement is, however, false. The rectangular bars in a bar diagrams need to be of equal width for any given data.

Question 6: The statement given in this question is ‘Width of rectangles in a histogram should essentially be equal’. It is a false statement. The width of rectangles in a histogram can be uneven.

Question 7: Here, the statement in question is ‘Histogram can only be formed with a continuous classification of data’. This is a true statement. Histograms are always drawn for continuous data. Even if the given data is discrete or discontinuous, it is first changed into continuous form to form a histogram.

Question 8: The statement in this question is Histograms and column diagram are a similar way of presentation of data. However, this is a false statement. The histogram is a two-dimensional diagram which is drawn for continuous data. The rectangles do not have any space between them. On the other hand, the column diagram is a one-dimensional diagram which has space between each column or bar. 

Question 9: The 9th question has ‘Mode of a frequency distribution can be known graphically with the help of histogram’ as a statement. This statement in NCERT solutions for class 11 statistics for economics chapter 4 is true. The rectangle with the highest measure in a histogram gives the value of mode of a frequency distribution. 

Question 10: The statement given in this question is that the median of a frequency distribution cannot be assessed from the ogives. This is false. The point of intersection of less than along with more than ogives shows the median.

Question 11: The 11th question in this chapter asks students to provide relevant forms of diagrams to represent different data. There are three sub-parts to this question. They are:

  • Monthly annual rainfall

  • Composition of Delhi’s population by religion

  • Components of the factory’s expenses

The relevant answers to the above questions are bar diagram, component bar diagram, and a pie chart respectively.

Question 12: This question in NCERT solutions for class 11 statistics for economics chapter 4 would require students to represent data in a tabular form. The question provides data related to the share of non-workers and lower urbanisation level in India.

Question 13: The 13th question is how the procedure of drawing histograms differ when class intervals are unequal compared to equal class intervals in a frequency table.

Question 14 and Question 15 also include data, based on which students will have to form a relevant presentation.

Students can find the PDF of the Statistics lessons in the Vedantu App. The App also provides a free download option of NCERT solutions for class 11 statistics for economics chapter 4. Along with that, students also get online classes, one-on-one guidance, and revision notes to prepare well for exams.

FAQs on NCERT Solutions for Class 11 Statistics Chapter 4 - Presentation Of Data

1. What are the different ways of representing data?

Ans: Data can be presented in the form of text, table or diagrams. It depends on the nature and category of data being represented. Under diagrammatic presentation of data, there can be different types. They are bar diagram, pie or circular diagram, frequency diagram data, histogram, polygon, frequency curve, arithmetic line graph, ogive or cumulative curve, etc.

2. What are the advantages of diagrammatic or graphical presentation of data?

Ans: Many times the diagrammatic presentation of data is considered more convenient over the other forms. So, the advantages of diagrammatic and graphical presentation of data include:

  • Informative and catchy

  • Simple to understand

  • Easy to compare data

  • Needs less training or specialisation to create graphs

  • Helps in the study of correlation

3. Which types of questions are provided in the NCERT solutions for class 11 statistics for economics chapter 4?

Ans: Chapter 4 in Class 11 Statistics NCERT solutions includes 15 questions. Some of these questions are conceptual and objective. A few questions in this chapter are based on a ‘true or false’ statement. In some questions, students will have to represent the data given to them.

 4. What is Chapter 4 of the Class 11 Statistics textbook about?

Ans: The chapter talks about the presentation of data. Data is the information that is collected and needs to be organized to study a hypothesis or to reach a conclusion. The chapter mentions textual presentation, tabular presentation as well as diagrammatic presentation of data. The data when presented makes it easier to study and analyze and it is also more appealing to the eyes. Data presented in a clear manner makes it easy to understand. 

5. Is Chapter 4 of Class 11 Statistics important?

Ans: The chapter of the Statistics textbook of Class 11 is titled as Presentation of data. The chapter enables us to understand how one can present and analyze the data. We all, consciously or unconsciously, deal with data, arrange it and use it for getting better results. Understanding the presentation of data also allows us to smartly plan our studies and preparation as well as allows us to understand how we can utilise minimum resources to achieve maximum results. The knowledge gained from the chapter will come in handy in education and in real life.

6. How can I approach the chapter Presentation of Data of Class 11 Statistics?

Ans: The chapter is a part of your statistics textbook and is also a crucial part of the border economics discipline. Understanding the concepts given in the chapter will also facilitate to an extent your understanding of economics. You can start by reading the chapter and understanding the various methods of presenting the data. Make useful notes in your notebook along with the visual representation of the methods. You should also attempt the questions given at the end of the chapter. Make sure you revise your notes on a regular basis.

7. How useful are Vedantu solutions for the preparation of Chapter 4 Presentation of Data of Class 11 Statistics?

Ans: When you are studying Statistics, it is imperative that you have a strong understanding of the core concepts of the discipline. The solutions which are prepared by the expert faculty at Vedantu helps you to clear any doubts or confusion you might have with regard to the concepts of the chapter. They will also come in handy during revision as they cover the chapter in its entirety. You will also get a basic idea about how one should write and present the answers. These solutions are available at free of cost on Vedantu( and mobile app. 

8. Explain diagrammatic presentation of data.

Ans: The diagrammatic presentation of data is one of the methods through which you can present the data. The data is presented in a comprehensible form that makes the data easy to comprehend and analyze. In this method, numbers or numerical data are represented through diagrams. The diagrammatic presentation can be further categorized into bar graphs, pie charts or circular diagrams, frequency diagrams, and arithmetic line graphs. It is also an attractive way of presenting the data and catches the attention of the reader.