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NCERT Solutions for Class 11 Statistics Chapter 4 Presentation of Data

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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 Class 11 Statistics 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 includes:

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  • Introduction

  • Collection, Organisation, and Presentation of Data

  • Statistical Tools and Interpretation

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.


CBSE Class 11 Statistics Chapter 4 Other Study Materials

S. No

Important Study Material Links for Chapter 4 Presentation of Data

1.

Class 11 Presentation of Data Important Questions

2.

Class 11 Presentation of Data Revision Notes


Chapter-wise NCERT Solutions for Class 11 Statistics


Important Related Links for CBSE Class 11 Statistics

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

1. How do the NCERT Solutions for Class 11 Statistics Chapter 4 guide students in presenting data according to CBSE 2025–26 exam standards?

The NCERT Solutions for Class 11 Statistics Chapter 4 provide step-by-step methods for presenting data using textual, tabular, and diagrammatic formats, ensuring that students follow CBSE 2025–26 marking guidelines. These solutions demonstrate the correct sequence, format, and labelling required for each method, helping students answer exam questions precisely and score better.

2. What is the recommended process for solving diagram-based questions in the Chapter 4 NCERT solutions?

To solve diagram-based questions:

  • Identify the type of diagram required (bar, pie, histogram, etc.) based on data type
  • Organise data logically and group as necessary
  • Label all axes and sections accurately
  • Ensure uniformity (e.g., equal bar width in bar diagrams, correct scaling in histograms)
  • Review the completed diagram to verify clarity and correctness
Following these steps aligns with concepts outlined in the NCERT Solutions for Class 11 Statistics Chapter 4.

3. Why is it crucial to represent frequency distributions correctly in both histograms and ogive curves, as explained in the NCERT Solutions for Chapter 4?

Correct representation ensures accurate interpretation of statistical measures like median and mode. Histograms must have continuous class intervals for precise graphical representation, while ogive curves illustrate cumulative frequencies to determine medians graphically. Incorrect plots may lead to calculation errors, affecting exam marks and understanding of core statistical concepts.

4. In which cases does the NCERT Solutions Chapter 4 use a tabular presentation method, and what are its key components?

The tabular presentation is used when dealing with extensive numerical data or comparisons across different categories. Key components include:

  • Table number
  • Title
  • Headnote
  • Caption
  • Stubs (row headings)
  • Body or field (data entries)
  • Footnotes (explanations)
  • Source (if applicable)
These elements ensure clarity and adherence to CBSE 2025–26 standards.

5. How should students approach True/False or conceptual questions in NCERT Solutions for Statistics Chapter 4 to score maximum marks?

Students should:

  • Read each statement thoroughly and recall the core principle involved
  • Justify their answer with a supporting statement or example (if required)
  • Reference the specific rule or concept from the chapter (e.g., 'width of bars in a histogram can be unequal')
This approach demonstrates conceptual clarity and is preferred in the CBSE evaluation scheme.

6. What are common mistakes students make while attempting step-by-step solutions in Chapter 4, and how can the NCERT Solutions help avoid them?

Common mistakes include mislabelling axes, using incorrect scales, uneven bars in diagrams, or incomplete tables. The NCERT Solutions provide detailed steps and examples for each type of data presentation, guiding students to avoid these errors and enhance accuracy in their answers.

7. How does diagrammatic presentation, as taught in Class 11 Statistics Chapter 4, help in the interpretation of data compared to textual and tabular methods?

Diagrammatic presentation simplifies complex data, making trends, comparisons, and relationships immediately visible. Unlike textual or tabular formats, diagrams like bar graphs or pie charts illustrate patterns and distributions visually, making analysis more intuitive as per the NCERT Solutions for Class 11 Statistics Chapter 4.

8. What critical thinking is expected from students while working through NCERT Solutions for data interpretation problems in this chapter?

Students are expected to:

  • Identify the most effective method of data presentation for the given question
  • Justify their choice based on the nature and size of data
  • Interpret the results, such as identifying trends, patterns, or outliers
  • Draw logical conclusions supported by the visual aids or tables constructed
This active engagement demonstrates higher-order thinking as required in CBSE exams.

9. How can the methods explained in NCERT Solutions Chapter 4 be applied to real-life situations or other subjects?

The techniques for presenting and interpreting data are applicable in economics, business, and daily decision-making. For example, bar diagrams are used to represent sales data in business, and pie charts are common in analyzing market shares. Mastery of these methods builds essential analytical skills beyond the classroom.

10. If a dataset contains unequal class intervals, which solution strategies should be followed as per Class 11 Statistics Chapter 4 NCERT Solutions?

When class intervals are unequal, students must adjust the frequencies proportionally before drawing a histogram, ensuring that rectangular areas, not just heights, are compared. This step is clearly illustrated in the solutions, aligning with correct CBSE methodology.