Courses for Kids
Free study material
Offline Centres
Store Icon

NCERT Solutions for Class 11 Statistics Chapter 9 - Use Of Statistical Tools

Last updated date: 04th Mar 2024
Total views: 423k
Views today: 4.23k
IVSAT 2024

NCERT Solutions for Class 11 Statistics Chapter 9 - Use of Statistical Tools

NCERT Solutions Class 11 Statistics Chapter 9 explains the meaning of statistics and their applications in various fields. This chapter makes the students aware that statistical tools play a vital role in several industries. The subject-matter experts at Vedantu have solved all the questions given in this chapter in the NCERT Solutions Class 11 Statistics Chapter 9. By following these NCERT Solutions, students can develop a deeper understanding of the concepts covered in Class 11 Statistics Chapter 9. They can download the PDF file of these NCERT Solutions and refer to them offline as well.


NCERT Solutions for Class 11


Class 11 Statistics

Chapter Name:

Chapter 9 - Use Of Statistical Tools


Text, Videos, Images and PDF Format

Academic Year:



English and Hindi

Available Materials:

  • Chapter Wise

  • Exercise Wise

Other Materials

  • Important Questions

  • Revision Notes

The NCERT Solutions for Class 11 Statistics Chapter 9 PDF will be uploaded soon.

NCERT Solutions for Class 11 Statistics Chapter 9 Use of Statistical Tools

NCERT Solutions for Class 11 Chapter 9- Use of Statistical Tools Free PDF

The exercises given in the chapter, Use Of Statistical Tools for Class 11 are solved by our subject experts at Vedantu and are available in a PDF format. The NCERT Solutions’ PDF file is free to download from Vedantu. Students can go through these NCERT Solutions Class 11 statistics Chapter 9 PDF and practice them at their convenient time. They can even take a printout of this study material and revise them offline during the examinations.

Use of Statistical Tools


The beginning of the chapter gives a brief introduction to the commonly used statistical tools. Also, the chapter describes the methods and advantages of implementing these statistical tools. Students will learn how to analyze the solution for a given problem using these methods and tools in real-life situations.

Steps Towards Making a Project

The NCERT Solutions Class 11 Statistics Chapter 9 is drafted in such a way by Vedantu experts that explain the various steps covered in the entire process of the project. Also, it teaches the students that every project will be successful only by implementing it through a plan which includes a step-by-step procedure. The steps involved in making a project are as follows.

  • Identifying a problem or an area of study.

  • Choice of Target group

  • Collection of data

  • Organization and presentation of data

  • Analysis and  interpretation

  • Conclusion

A Suggested List of Products

Statistics Class 11 NCERT Solutions Use Of Statistical Tools cover a few points as a list that can be chosen as products. This list is discussed below.

  • If you are a marketing manager and are given a product to increase its market share and sales, then you will need to prepare a plan for the growth of sales to that particular product by analyzing its data and the similar products available, the situation of the market, competitors, resources, and many more.

  • If you are appointed as a government servant and were allotted to complete the road contract or a transport issue, then you will need to proceed by proper planning with a step-by-step procedure. This also can be taken as a project.

  • Let us assume that you are a vigilance officer and you have received several complaints regarding the maximum retail price on certain products. Then prepare a project for that.

Every single task in every industry can be considered as a project, and each project has all five steps. While performing each step, we use different kinds of statistical tools.

Sample Project

Class 11 Statistics NCERT Solutions Ch 9 also gave a sample project to provide proper knowledge regarding the use of statistical tools for the students. The project is about putting up a factory. If you are an entrepreneur, and you are supposed to initiate a factory to produce toothpaste, how are you going to prepare a proper blueprint which involves all the step-by-step procedures and how can you initiate each step of the project till implementation?

NCERT Class 11 Statistics Chapter 9 Use of Statistical Tools explains from the initial step of forecasting the future requirement. First, we need to think about how many units we need to produce per month and how much does it cost, etc. For that, we need to collect data like a survey called family size, their utilization, income levels, age levels, etc. Then all these data should be interpreted in a tabular form or a pictorial form to get a better understanding and then follow the procedure by taking averages and means and other statistical tools. From the values of time, we should find the observation and assess whether it meets the requirement or not.

NCERT Solutions for Class 11 Statistics Chapter 9 Use of Statistical Tools PDF covers all these points in detail.

Benefits of the NCERT Solutions for Class 11 Chapter 9 Statistics: Free PDF

NCERT Solutions Class 11 Statistics Chapter 9 Use of Statistical Tools on Vedantu can be a great help for students. Some benefits of these solutions are as follows. 

  • It helps students to understand each concept clearly and easily.

  • The PDF of these NCERT Solutions Class 11 Statistics Chapter 9 Use of Statistical Tools is available on Vedantu for free of cost to download.

  • Students will get to learn the best answers for this chapter by following these NCERT Solutions that are based on the CBSE guidelines.

  • Students can refer to these NCERT Solutions to clarify their doubts. Also, they can reach out to the faculty at Vedantu, through live chat. 

FAQs on NCERT Solutions for Class 11 Statistics Chapter 9 - Use Of Statistical Tools

1. What is statistics? Explain its importance?

Statistics is a branch of mathematics that has several quantified tools, methods, representations to find values by taking huge data and it helps to forecast the outcomes. We have various kinds of tools like: 

  • Mean

  • Regression analysis

  • Skewness

  • Kurtosis

  • Variance

  • Analysis of variance

All these are utilized at various steps to perform tasks in different industries. 

2. If you are supposed to start a dairy business, consider it as a project, and explain the steps involved in it?

First, we need to forecast the amount of milk that we need to sell per month or an annum. For that purpose, we need to consider the available resources like capital, number of cows or buffaloes through which we can get the milk, and how far they are able to give the milk that can be measured in liters. Then we need to search for the customers like surveying the people regarding their utilization based on the family size of each house. Then represent all the data in a tabular form and estimate the results by calculating the average or mean for the data. Now we can observe the findings like if the requirement is 80 liters, we need to produce 100 liters of milk and the expenses may be 1 lakh rupees, and the earnings may come 120,000 rupees wherein the profit is 20,000 per month if everything goes well.

3. What are the concepts covered in Chapter 9 of Class 11 Statistics?

Chapter 9 deals with the 'Use of Statistical Tools' which is one of the easiest chapters where data is interpreted and analyzed to get something meaningful. So, the chapter deals with the following concepts as listed out in the NCERT Solutions for Chapter 9:

  • An introduction

  • Identifying problems or areas that need studying

  • Target group choice

  • Data Collection

  • Organizing and presenting data

  • Analyzing and interpreting

  • Conclusion

  • Project

These major concepts help students relate to the ideas followed in the chapter.

4. What are the tools used to study statistical data in Chapter 9 of Class 11 Statistics?

'Use of Statistical Data' is the name of chapter 9 Of Class 11 Statistics. All the concepts in this chapter are crisply explained by experts in NCERT Solutions. Statistical tools are the various tools that are used for presenting data. Class 11 students learn to represent data using the following statistical tools:

  • In stage 1: Samples 

  • In stage 2: Arrays

  • In stage 3: Tables, Graphs and Diagrams

  • In stage 4: Percentages and Averages

  • In stage 5: Magnitudes of percentages

5. What are the advantages of using NCERT Solutions for Chapter 9 of Class 11 Statistics?

Using NCERT Solutions for Chapter 9 provided by Vedantu has numerous advantages. First of all, being created by proficient experts, this material provides students with all-inclusive details on the chapter in simple language. As solutions are revised according to the curriculum, students only have to learn relevant topics for the exams. Moreover, it functions as a comprehensive study material providing illustrations as examples for students to easily follow the concepts. 

6. Which questions are important in Chapter 9 of Class 11 Statistics?

Though Chapter 9 of Class 11 Statistics is comparatively an easy chapter, there are some areas acting as reserves from where important questions are asked for the exam. The list below highlights the topics from where questions are asked from chapter 9:

  • Statistical Methods

  • Preparing Projects

  • Demographics and its structure

  • Variables in demographic structure

The NCERT Solutions created by professionals exclusively for this chapter breaks down these concepts forming a reliable and comprehensible study material for students' use.

7. Which are the five variables included in the demographic structure in Chapter 9 of Class 11 Statistics?

Demographic structure in Chapter 9 mainly deals with the age distribution of a population, that is, it focuses on the number of people in an area. There are five prominent variables in the demographic structure of a population, otherwise known as demographic processes. They are listed out below:

  • Population size

  • Density

  • Age structure

  • Birth rate

  • Death rate

These variables affect the population demographics of a particular geographical area and statistical tools help identify and solve problems related to these variables.