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NCERT Solutions for Class 10 Maths Chapter 14 Statistics
NCERT Solutions for Class 10 Maths Chapter 14: Statistics - Exercise 14.4
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Exercise - 14.4
1. The following distribution gives the daily income of 50 workers of a factory.
Convert the distribution above to a less than type cumulative frequency distribution, and draw its ogive.
Ans:
Let’s represent Ogive curve by taking
On x- Axis = Upper class intervals
On y-Axis = Frequencies
2. During the medical check-up of 35 students of a class, their weights were recorded as follows:
Draw a less than type ogive for the given data. Hence obtain the median weight from the graph and verify the result by using the formula.
Ans: By taking
Upper class limit on x axis
And cumulative frequencies on y-axis
Ogive can be drawn as:
Here
\[n =35 \]
\[\therefore \dfrac{{n}}{2}=\dfrac{{35}}{2}=17.5 \]
Mark the point A whose ordinate is 17.5
As we can see abscissa of point A is 46.5
Therefore, the median of this data is 46.5.
The class marks with their respective frequencies are obtained as below
Here
\[n = 35 \]
\[\dfrac{n}{2}=\dfrac{{35}}{2}=17.5 \]
Cumulative frequency just greater than 17.5 is 28.
28 belongs to the class interval 46 – 48.
Median class = 46 – 48
Lower class limit (l) of median class = 46
Frequency (f) of median class = 14
Cumulative frequency (cf) of class preceding median class = 14
Class size (h) = 2
\[ {\text{Median }} = l + \left( {\dfrac{{\dfrac{n}{2} - cf}}{f}} \right) \times h \\ \;\;\;\;\;\;\;\;\;\;\; = 46 + \left( {\dfrac{{17.5 - 14}}{{14}}} \right) \times 2\\ \;\;\;\;\;\;\;\;\;\; = 46 + \dfrac{{3.5}}{7} = 46.5 \\ \]
Therefore, the median of this data is 46.5.
Therefore, the median has been verified.
3. The following table gives production yield per hectare of wheat of 100 farms of a village. \[\]
Change the distribution to a more than type distribution and draw ogive
Ans: The cumulative frequency distribution of more than type can be obtained as follows:
Taking the lower class limits on x-axis and their respective cumulative frequencies on y-axis, its ogive can be obtained as follows.
NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4
Opting for the NCERT solutions for Ex 14.4 Class 10 Maths is considered as the best option for the CBSE students when it comes to exam preparation. This chapter consists of many exercises. Out of which we have provided the Exercise 14.4 Class 10 Maths NCERT solutions on this page in PDF format. You can download this solution as per your convenience or you can study it directly from our website/ app online.
Vedantu in-house subject matter experts have solved the problems/ questions from the exercise with the utmost care and by following all the guidelines by CBSE. Class 10 students who are thorough with all the concepts from the Subject Statistics textbook and quite well-versed with all the problems from the exercises given in it, then any student can easily score the highest possible marks in the final exam. With the help of this Class 10 Maths Chapter 14 Exercise 14.4 solutions, students can easily understand the pattern of questions that can be asked in the exam from this chapter and also learn the marks weightage of the chapter. So that they can prepare themselves accordingly for the final exam.
Besides these NCERT solutions for Class 10 Maths Chapter 14 Exercise 14.4, there are plenty of exercises in this chapter which contain innumerable questions as well. All these questions are solved/answered by our in-house subject experts as mentioned earlier. Hence all of these are bound to be of superior quality and anyone can refer to these during the time of exam preparation. In order to score the best possible marks in the class, it is really important to understand all the concepts of the textbooks and solve the problems from the exercises given next to it.
Do not delay any more. Download the NCERT solutions for Class 10 Maths Chapter 14 Exercise 14.4 from Vedantu website now for better exam preparation. If you have the Vedantu app in your phone, you can download the same through the app as well. The best part of these solutions is these can be accessed both online and offline as well.
FAQs on NCERT Solutions for Class 10 Maths Chapter 14: Statistics - Exercise 14.4
1. Where can I find NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4?
Class 10 students can avail the most accurate NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4 on Vedantu. Vedantu is a leading ed-tech company known to offer well-curated NCERT Solutions to help students in exam preparation. You can refer to Class 10 Maths NCERT Solutions for Chapter 14 Statistics Exercise 14.4 and other exercises online. You can also download the free PDF of the same from Vedantu’s site. These solutions cover all the problems given in the particular exercise solved by subject matter experts. These solutions are prepared as per the latest NCERT guidelines and syllabus. For those who are searching for online exercise-wise NCERT Solutions for Class 10 Maths Chapter 14 Statistics, Vedantu is the best platform!
2. Why should I download NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4?
Class 10 CBSE students will find NCERT Solutions for Class 10 Maths Chapter 14 Statistics Exercise 14.4 and other exercises helpful for board exam preparation. The chapter-wise solutions of Class 10 Mathematics Chapter 14 are designed to assist students in the thorough understanding of the chapter, doubt clearance and revision. These solutions are designed by subject matter experts following the latest NCERT guidelines and board exam pattern. Students will also be provided with important tips and tricks in these solutions to score well in the exam. By referring to the online NCERT Solutions for Class 10 Maths Chapter 14 Exercise 14.4 or downloading the free PDF of the same, students will be able to revise the chapter effectively.
3. How to utilize Vedantu’s platform to understand the concepts of Class 10 Maths Chapter 14 (Ex 14.4)?
Vedantu provides online NCERT Solutions for Class 10 Maths available for free access to students. Students can access well-designed NCERT Solutions for Class 10 Maths Chapter 14 Statistics Ex 14.4 as well as other exercises prepared by subject matter experts. Students should first aim at solving all the exercise questions on their own after understanding the concepts. Then, they can refer to these solutions to clear their doubts regarding the exercise. These solutions are beneficial in exam preparation as they are designed as per the latest syllabus and exam pattern. Exercise-wise NCERT Solutions for Class 10 Maths Chapter 14 provide complete coverage of all important concepts and NCERT questions.
4. What will students learn from Class 10 Maths Chapter 14 Exercise 14.4?
From the last exercise of Class 10 Maths Chapter 14 i.e. Exercise 14.4, students will learn how to represent the cumulative frequency distribution in graphs as a cumulative frequency curve for the given set of data. They will also be taught to represent the median of grouped data graphically. This is represented as the x-coordinate of the point of intersection of the two ogives for this data. The questions included in Exercise 14.4 are solved by experts at Vedantu as per the methods explained in the example questions. Students can avail the complete solutions for Chapter 14 of Class 10 Maths Exercise 14.4 and other exercises and solve all statistics problems in the best manner.
5. How many questions are there in Class 10 Maths Chapter 14 Statistics CBSE?
CBSE Class 10 Maths Chapter 14 is on Statistics. The chapter consists of a total of four exercises, that is exercise 14.1, exercise 14.2, exercise 14.3, and exercise 14.4.
The questions from the entire statistics chapter are divided among these four exercises for the ease of students. The first exercise has nine questions, the second exercise has six questions, the third exercise consists of seven questions and lastly, exercise 14.4 has three questions. All four exercises have questions from four different topics of the chapter.
6. What is the main topic covered in Exercise 14.4?
Among the four exercises of Chapter 14 of Maths Class 10, the last exercise is 14.4, where the sum covers the topic of cumulative frequency interpretation and median of grouped data. Apart from this, the exercise also has questions that require a graphical representation of the cumulative frequency curve and the ogive for the median calculated from the set of grouped data. You can refer to the solutions of Vedantu if you need help with this.
7. What is an ogive?
All statistical analysis can be made into graphical representations by putting the coordinates in the x and y-axis respectively. Similarly, ogive is the curve drawn with respect to the cumulative frequency which is calculated first. Then the cumulative frequency polygon or the ogive is constructed on a graph paper that tells us how many numbers fall below or above the particular curve. You will find questions for this in Exercise 14.4.
8. What is the easiest way to make perfect graphs in statistics?
The easiest way to make perfect graphs in statistics is practice. Practice will help you draw the perfect graphs which will help you score really well in your statistics exam. The steps to drawing a perfect graph are:
Understand the technique.
Read the question carefully.
Chalk out the relevant information.
Practice it several times.
Do not erase your graph paper over and over again.
Keep your graph neat and clean.
Use a sharpened pencil.
Make sure to take proper measurements.
Name and mark every coordinate, axis, pointer etc.
Mention the scale of your graph and the name of the curve.
9. How do I score well in statistics Class 10?
Since statistics is a part of Mathematics, you will need to apply the same techniques in this area too for scoring well, which is extensive practice. Statistics is not at all difficult if you once get to understand the concept of each topic and then the rest depends on your practice. It becomes very easy to solve the sums and draw the graphs from then onwards. You can refer to the notes and study materials from the Vedantu website or from the Vedantu app at free of cost. You will definitely score well.