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NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.4 

 

NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.4 are based on the graphical representation of cumulative frequency distribution. The askIITians experts have created these solutions according to the latest CBSE exam pattern and syllabus. Practising these solutions will help you prepare well for board exams. You can download these solutions for free and study this exercise at your own pace. They will act as a study guide that includes stepwise explanations and easy-to-understand explanations. 

About NCERT Class 10 Maths Chapter 14 Ex 14.4 

 

A graphical representation of data helps in understanding it in a better way than numerical representation. In Class 9, you have already studied how to create histograms, bar charts, and frequency polygons. Now, in Class 10 Maths Chapter 14 Ex 14.4 you will learn how to represent frequency distribution in a graph. 

 

To represent a cumulative frequency distribution graphically, you have to mark the upper limits of the class intervals on the horizontal axis (x-axis) and their corresponding cumulative frequencies on the vertical axis (y-axis), choosing a convenient scale. 

 

Once you have plotted the points, join them with a free hand and form a curve. The curve we get is called a cumulative frequency curve, or an ogive (of the less than type or more than type). 

 

When we plot the lower limits on the x-axis and their corresponding cumulative frequency on the vertical axis, then we get a curve which is called a cumulative frequency curve or an ogive curve of more than type. 

 

When we plot a graph with an upper limit of the class intervals on the horizontal axis and their corresponding cumulative frequency on the vertical axis, then we get a curve which is called a cumulative frequency curve or an ogive curve of less than type. 

 

Types of questions included in NCERT Class 10 Maths Chapter 14 Ex 14.4

This exercise includes only 3 questions and in each question, you have to represent the given cumulative frequency data in graphical form. Let us see in detail:

 

Ex 14.4 Q1: In this question, you are given a frequency distribution of the daily income of 50 workers of a factory. You have to convert the distribution above to a less than type cumulative frequency distribution and draw its ogive. Find how to solve this question step by step in our NCERT Class 10 Maths Chapter 14 Ex 14.4. 

 

Ex 14.4 Q2: In this question, you are given the frequency distribution of 35 students of a class. You have to draw a less than type ogive for the given data, obtain the median weight from the graph and verify the result by using the formula. You must practice such questions for your board exam. 

 

Ex 14.4 Q3: In this question, you are given the production yield per hectare of wheat of 100 farms of a village. You have to change the distribution to a more than type distribution and draw its ogive. Many students find this question a little difficult, but its trick is very easy once you do it step by step. Check our free NCERT Solutions for this exercise to know more. 

Download Free NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.4 

The NCERT Solutions for Class 10 Maths are prepared by experts at askIITians. These solutions will provide you with a stepwise guide on how to solve the questions of this exercise. We have included proper reasoning and explanations so that you can understand the concepts of less than ogive and more than ogive easily. Key features of NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.4:

  • Stepwise explanations of all answers
  • 100% correct solutions prepared by Maths experts 
  • Based on the latest CBSE exam pattern and syllabus 
  • All the solutions are available for free 
  • The solutions are easily downloadable in PDF form

Download NCERT Class 10 Maths Solutions for all exercises of Chapter 14 Statistics: 

  • NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.1 
  • NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.2
  • NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.3
  • NCERT Solutions for Class 10 Maths Chapter 14 Ex 14.4 

NCERT Class 10 Maths Chapter 14 Ex 14.4 FAQs

 

1. Are NCERT Solutions for Class 10 Maths important? 

Yes, all the NCERT Solutions for Class 10 Maths are important as they help you understand the main concepts of the chapters easily. You can refer them at any time to resolve your doubts. 

 

2. What is an ogive? 

Ogive is a type of curve that represents cumulative frequencies in Statistics. It helps us understand how many numbers lie above or below a given value in a data set. 

 

3. How many exercises are there in class 10 Maths Chapter 14 statistics?

There are 4 exercises in Chapter 14 Statistics of Class 10 Maths. These exercises include 25 questions in total. Exercise 14.1 includes 9 questions. Exercise 14.2 includes 6 questions. Exercise 14.2 includes 7 questions. Exercise 14.2 includes 3 questions.  


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