NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.4 PDF

NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.4 Overview

Exercise 13.4 of Chapter 13 Statistics in NCERT Class 10 Maths focuses on the graphical representation of cumulative frequency data and the determination of the median using ogives. Students learn to create cumulative frequency tables, including less than cumulative frequency and more than cumulative frequency, which are essential for plotting the respective ogives. The less than ogive is plotted using the upper-class boundaries against the less than cumulative frequency, while the more than ogive is plotted using the lower-class boundaries against the more than cumulative frequency.

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The intersection of these two curves is used to find the median graphically by projecting the intersection point onto the x-axis. This exercise strengthens students understanding of data visualization and provides practical experience in analyzing grouped data. It also highlights the importance of statistical tools in interpreting real-world information and trends.

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Class 10 Maths Chapter 13 Exercise 13.4 Questions and Answers PDF

The Class 10 Maths Chapter 13 Exercise 13.4 Questions and Answers PDF provides a detailed solution to problems related to the graphical representation of cumulative frequency and the calculation of the median using ogives. This PDF includes step-by-step explanations, cumulative frequency tables, and detailed methods for plotting both less than and more than ogives. It is a valuable resource for students to understand the concepts of statistics and practice solving problems effectively. You can access the PDF using the link provided below for a structured and thorough approach to mastering this exercise.

Class 10 Maths Chapter 13 Exercise 13.4 Questions and Answers PDF

NCERT Class 10 Maths Chapter 13 Statistics Exercise 13.4

Below is the NCERT Class 10 Maths Chapter 13 Statistics Exercise 13.4:

Solve the followings Questions.

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.

Answer:

Now, by drawing the points on the graph, i.e., (120, 12); (140, 26); 160, 34); (180, 40); (200, 50) 2. During the medical checkup 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.

Answer:

Hence, the points for graph are: (38, 0), (40, 3), (42, 5), (44, 9), (46, 14), (48, 28), (50, 32), (52, 35) 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 its ogive.

Answer:

The points for the graph are:

(50, 100), (55, 98), (60, 90), (65, 78), (70, 54), (75, 16)

Benefits of Solving NCERT Solutions for Class 10 Maths Chapter 13 Exercise 13.4

• Enhanced Understanding of Graphical Representation : Students develop a strong foundation in plotting cumulative frequency curves (ogives) and interpreting data visually.
• Mastery of Median Calculation : Solving these solutions helps students learn how to calculate the median graphically, a vital concept in statistics.
• Conceptual Clarity : The step-by-step explanations in the solutions promote a deeper understanding of cumulative frequency and its importance in data analysis.
• Exam Preparedness : Practicing these solutions ensures familiarity with typical board exam questions, boosting confidence and improving problem-solving accuracy.
• Improved Analytical Skills : Working on graphical methods enhances analytical and logical thinking, enabling students to interpret and analyze statistical data efficiently.
• Error Reduction : The detailed solutions help identify common mistakes and teach the correct approach, improving precision in solving similar problems.
• Practical Application : Understanding how to represent and analyze data graphically prepares students for advanced topics in mathematics and its practical uses in various fields.