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August 18, 202239 Insightful Publications

**NCERT Solutions for Class 11 Maths Chapter 15: **The students who are from grade 11 and looking for NCERT solutions for Class 11 Maths Chapter 15 i.e. Statistics. Statistics is a significantly important chapter in CBSE Class 11. In this article, the candidates can find the NCERT Solutions for Class 11 Maths Chapter 15. These solutions have been provided by the topmost academic experts at Embibe. Our experts have explained the solutions in a step-by-step manner.

Once students understand the theory behind the concepts associated with this chapter, Statistics, they can start solving the NCERT in-text questions and exercises questions. If you get stuck somewhere while solving these NCERT questions, then refer to the NCERT Solutions for Class 11 Maths Chapter 15 included in this article.

Before you get into the NCERT Solutions for Class 11 Maths Chapter 15 – Statistics, let’s go through the sections included in this chapter:

Exercise | Topics |

15.1 | Introduction |

15.2 | Measures of Dispersion |

15.3 | Range |

15.4 | Mean Deviation |

15.4.1 | Mean Deviation for Ungrouped Data |

15.4.2 | Mean Deviation for Grouped Data |

15.4.3 | Limitations of Mean Deviation |

15.5 | Variance and Standard Deviation |

15.5.1 | Standard Deviation |

15.5.2 | Standard Deviation of a Discrete Frequency Distribution |

15.5.3 | Standard Deviation of a Continuous Frequency Distribution |

15.5.4 | Shortcut method to find Variance and Standard Deviation |

15.6 | Analysis of Frequency Distributions |

15.6.1 | Comparison of two Frequency Distributions with same Mean |

**Practice 11th CBSE Exam Questions**

Statistics deals with the data collected for specific purposes. By analyzing and interpreting the data, decisions can be made. In earlier classes, you have studied methods of representing data both graphically and in tabular form. Now, you will learn about the representation of data, and certain salient features and characteristics of the data. It helps students gain an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study. This is a medium-weightage chapter for JEE Main. One question out of 30 is always asked.

**Download CBSE Solutions For Class 11 Maths Chapter 15**

If you ask any topper what the secret of their success is, they will definitely say that they finished the NCERT books thoroughly. The NCERT textbooks help you to cover all the basics. It is important that you solve the NCERT questions diligently once you have finished the theories. This is important for both board examinations as well as competitive exams, like JEE Main and JEE Advanced. Now you have all the NCERT Solutions for Class 11 Maths Chapter 15 – Statistics. Make the best use of these solutions and master the chapter. You can also solve **Class 11 Maths Statistics questions** and take **Class 11 Maths Chapter 15 mock test** on Embibe. These are available for free and will help you in competitive exams like JEE and BITSAT as well.

NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 14 | NCERT SOLUTIONS FOR CLASS 11 MATHS | NCERT SOLUTIONS FOR CLASS 11 MATHS CHAPTER 16 |

Some of the important questions from this chapter are as under:

Statistics Important Questions (1 Mark) |

- In a test with maximum marks 25, eleven students scored, 3,9,5,3,12,10,17,4,7,19,21 marks respectively. Calculate the range.
- Coefficient of variation of two distributions is 70 and 75, and their standard deviations are 28 and 27 respectively what are their arithmetic mean?
- Write the formula for mean deviation.
- Write the formula for variance.
- Find the multiplicative inverse 4 – 3i.

Statistics Important Questions (4 Marks) |

- The mean of 2,7,4,6,8 and p is 7. Find the mean deviation about the median of these observations.
- Find the mean, standard deviation and variance of the first n natural numbers.
- The mean and standard deviation of 6 observations are 8 and 4 respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.
- Prove that standard deviation is independent of any change of origin, but is dependent on the change of scale.
- An analysis of monthly wages points to workers in two firms A and B, belonging to the same industry, given the following result. Find mean deviation about median.

Statistics Important Questions (6 Marks) |

- The mean and the standard deviation of 100 observations were calculated as 40 and 5.1 respectively by a student who mistook one observation as 50 instead of 40. What are the correct mean and standard deviation?
- 200 candidates the mean and standard deviation was found to be 10 and 15 respectively. After that, it was found that the scale 43 was misread as 34. Find the correct mean and correct standard deviation.
- Find the mean deviation from the mean 6,7,10,12,13,4,8,20.

In the below-provided section, we have provided the frequently asked questions related to the CBSE Class 11 NCERT Maths Chapter 15. The students can check the following in case they have any doubts-

Ques: What is Chapter 15 class 11 NCERT Maths?Ans: In the NCERT Class 11 Chapter 15, Statistics, students are introduced to a new segment of mathematics known as Statistics. Through this chapter, students get to learn about the representation of data, salient features of statistics, and the data and its characteristics. Students get to learn about various topics such as Mean Deviation, Range, Mean Deviation for grouped as well as ungrouped data, mean deviation and its limitations, standard deviation, and variance. |

Ques: Where can I read the complete Chapter 15 Class 11 Mathematics of the NCERT book?Ans: Students can read the complete Chapter 15 of the Class 11 Mathematics NCERT Book on the embibe platform for free. Students can also find direct links to Class 11 Mathematics Chapter 15 Notes, Solutions, practice papers, mock tests, important questions, and much more. Students can go through this article to find the complete NCERT Solutions for Class 11 Mathematics Chapter 15, Statistics along with the links of complete NCERT Book Class 11 Mathematics & important study material. |

Ques: Which is the best solution for NCERT Class 11 Chapter 15 Mathematics?Ans: Students can find 100 percent accurate Solutions for the NCERT Class 11 Mathematics Chapter 15, Statistics on the Embibe platform. This article contains the complete solution which has been solved by expert mathematics teachers associated with embibe. We, at Embibe, provide solutions for all the questions given in the Class 11 Mathematics textbook after taking the CBSE Board guidelines under strict consideration from the latest NCERT book for Class 11 Mathematics. |

Ques: Where and how can I download the NCERT solutions of CBSE Mathematics Class 11 Chapter 15 Statistics?Ans: The NCERT Solutions of CBSE Mathematics Class 11 Chapter 15 Statistics as found in this article is designed by the subject experts and professionals who are associated with the Embibe and have significant experience in the field of teaching and know the entire course thoroughly. The solutions found on the Embibe platform are designed specifically keeping the guidelines of NCERT in mind. Students can find the revision notes, as well as the complete solution of the CBSE NCERT solutions for Class 11 Mathematics Chapter 15, on the Embibe platform, which proves to be crucial for the students and their preparation. These solutions and notes help in saving time and prove to be reliable for preparation as they are prepared by the subject experts who are highly qualified teachers. |

Ques: Where can I read the complete Chapter 15 Class 11 Mathematics of the NCERT book?Ans: Students can read the complete Chapter 11 of the Class 11 Mathematics NCERT Book on the embibe platform for free. Students can also find direct links to Class 11 Mathematics Chapter 15 solving tips, Solutions, practice papers, mock tests, important questions, and much more. Students can go through this article to find the complete NCERT Solutions for Class 11 Mathematics Chapter 15, Statistics along with the links of complete NCERT Book Class 11 Mathematics & important study material. |

Ques: Is the Class 11 NCERT Mathematics book good for practising?Ans: The NCERT Class 11 Mathematics books are really helpful for students. This book helps the students to prepare not only for their year-end exams but also for the competitive exams. Students can find the solution and chapters listed on the Embibe platform for free. |