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NCERT Solutions for Class 11 Maths Exercise 15.3

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NCERT Solutions for Class 11 Maths Exercise 15.3: Maths Chapter 15 of NCERT 11th CBSE deals with Statistics. Statistics help analyse and compute the numerical data used in most areas of study. However, NCERT Class 11 Maths Exercise 15.3 mainly focuses on the coefficient of variation. NCERT Solutions provided by Embibe for this exercise will help students understand these concepts easily.

Talented Mathematics experts design these NCERT Solutions in the step-by-step procedure to help score better marks. Apart from these solutions, Embibe offers 300+ practice questions on this exercise from reference books. These practice questions provide in-depth knowledge to students. Students can also take mock tests, read the Embibe big book for Maths, watch learning videos to check their current potential. This way, Embibe helps in setting goals according to the learning pattern.

NCERT Solutions for Class 11 Maths Exercise 15.3: Important Topics

The process of classifying and gathering data is known as statistics. In our day-to-day life, we encounter several situations where we deal with data. In this exercise, we interpret and present the data after analysing them. NCERT Solutions for 11th Maths Exercise 15.3 will help students understand these basic concepts. Therefore, the most important topic in Class 11 Maths Exercise 15.3 is a comparison of two frequency distributions and coefficient of variation.

NCERT Solutions for these topics are easy to understand and will help students score well. To practice the important topics from this exercise, students can visit Embibe. There they will find eight solved example videos, topic-wise notes, two learning videos, NCERT Solutions, NCERT Exemplars, and reference books on these topics for. Furthermore, all the study material on Embibe is to use. Now, let us look at the important topics from NCERT Class 11 Maths Exercise 15.3:

Sr. No.Topic Name
1.Variance and Standard Deviation
2.Coefficient of Variation
3.Range
4.Comparison of Two Frequency Distributions With Same Mean

NCERT Solutions for Class 11 Maths Exercise 15.3: Points to Remember

Some of the important points to remember from this exercise are as follows:

  • V. = σ / x̅ where x̅ ≠ 0, σ is standard deviation and x̅ is mean.
  • Range = Maximum Value – Minimum Value
  • Quartile deviation=Q3−Q1/2
  • Variance = (Standard deviation)2= σ2
  • Var(X1 + X2 +……+ Xn) = Var(X1) + Var(X2) +……..+Var(Xn)
  • The variance is mostly represented as σ2, s2, or Var(X). 
  • Variance for ungrouped data: σ2 = ∑(xi – x̅)2/ n
  • Variance for grouped data: σ2 = ∑fi(xi – x̅)2/ N
  • We determine the coefficient of variance for each series in order to compare the variability or dispersion of two series.
  • A series is said to be more variable than another if its C.V. is higher.
  • According to some, the series with a lower C.V. is more reliable than the other.

NCERT Solutions for Class 11 Maths: All Chapters

NCERT Solutions for Class 11 Maths are listed below to help students with their exam preparations:

FAQs on NCERT Solutions for Class 11 Maths Exercise 15.3

Some of the frequently asked questions on the NCERT Solutions for Class 11 Maths Exercise 15.3 are as follows:

Q: How many questions are there in NCERT Class 11 Maths Exercise 15.3?

Ans: There are five questions in NCERT Class 11 Maths Exercise 15.3 Solutions.

Q: How many exercises are there in NCERT Class 11 Maths Chapter 15?

Ans: There are four exercises including the miscellaneous exercise in NCERT Class 11 Maths Chapter 15.

Q: Where can I get NCERT Class 11 Maths Exercise 15.3 Solutions?

Ans: Students can get NCERT Class 11 Maths Exercise 15.3 Solutions at Embibe for.

Q: Are NCERT Class 11 Maths Exercise 15.3 Solutions reliable?

Ans: Yes, NCERT Solutions are reliable at Embibe as they are prepared by subject experts. These NCERT Solutions ensure students understand every concept easily.

Q: List some important topics covered in Statistics.

Ans: The main topics that are explained in Statistics include mean, range, measures of dispersions, the variance of grouped and ungrouped data, measures of dispersions, and more. 

We hope this detailed article on NCERT Solutions for Class 11 Maths Exercise 15.3 helps you prepare for the exams in the best way possible.

Adaptive Practice with Solutions To Help You Ace Important Topics for 11th NCERT