RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3
In this article we have provided RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 prepared by our experts to help students to prepare better for their examinations.
Ananya Gupta11 Jul, 2024
RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3: The RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 provide detailed explanations and step-by-step solutions to problems involving the cumulative frequency distribution and its graphical representation.
These solutions prepared by subject experts at Physics Wallah, help students understand how to construct and interpret cumulative frequency curves (ogives). By practicing these exercises, students can enhance their ability to analyze and interpret data trends effectively.RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 Overview
The RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 prepared by subject experts from Physics Wallah provide clear and simple explanations of cumulative frequency distribution and its graphs. These solutions help students learn how to create and understand cumulative frequency curves (ogives). By practicing these exercises, students can improve their skills in analyzing and interpreting data.RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 PDF
The PDF link for RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 is available below. This PDF contains solutions prepared by subject experts at Physics Wallah provide clear and simple explanations for problems related to cumulative frequency distribution and its graphical representation.RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 PDF
RS Aggarwal Solutions for Class 10 Maths Chapter 9 Mean Median Mode Of Grouped Data Cumulative Frequency Graph And Ogive Exercise 9.3
Here we have provided RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 for the ease of students so that they can prepare better for their exams.
Solution:
Here, the maximum class frequency is 45. The class corresponding to this frequency is the modal class. ⇒ modal class = 30 - 40 ∴ lower limit of the modal class (l) = 30 Modal class size (h) = 10 Frequency of the modal class (f1) = 45 Frequency of class preceding the modal class (f0) = 35 Frequency of class succeeding the modal (f2) = 25 Mode is given by, Mode = l + ( f1 − f0 2f1 − f0 − f2 ) × h ⇒ Mode = 30 + ( 45−35 2(45)−35−25) × 10 ⇒ Mode = 30 + ( 10 30) × 10 ⇒ Mode = 30 + 3.33 = 33.33 Hence, the mode is 33.33
Solution:
Here, the maximum class frequency is 28. The class corresponding to this frequency is the modal class. ⇒ modal class = 40 - 60 ∴ lower limit of the modal class (l) = 40 Modal class size (h) = 20 Frequency of the modal class (f1) = 28 Frequency of class preceding the modal class (f0) = 16 Frequency of class succeeding the modal (f2) = 20 Mode is given by, Mode = l + ( f1 − f0 2f1 − f0 − f2 ) × h ⇒ Mode = 40 + ( 28−16 2(28)−16−20) × 20 ⇒ Mode = 40 + ( 12 20) × 20 ⇒ Mode = 40 + 12 = 56 Hence, the mode is 56.
Solution:
Here, the maximum class frequency is 20.
The class corresponding to this frequency is the modal class. ⇒
modal class = 160 - 165
∴ lower limit of the modal class (l) = 160
Modal class size (h) = 5
Frequency of the modal class (f1) = 20
Frequency of class preceding the modal class (f0) = 8
Frequency of class succeeding the modal (f2) = 12
Mode is given by,
Mode = l + (f1 − f02f1 − f0 − f2) × h
⇒ Mode = 26 + (58) × 4
⇒ Mode = 26 + 2.5 = 28.5
Hence, the mode is 28.5.
Expenditure done by maximum number of manual workers is
estimated by finding mode.
So here, the maximum class frequency is 40.
Benefits of RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3
- Clear Explanations: The solutions provide clear explanations and step-by-step methods to help students understand cumulative frequency distribution and ogive graphs.
- Expert Guidance: Prepared by subject experts from Physics Wallah, these solutions ensure accuracy and reliability in learning the topic.
- Graphical Representation Skills: Students learn how to construct and interpret cumulative frequency curves (ogives), improving their ability to visualize and analyze data.
- Enhanced Problem-Solving: By practicing these solutions, students can develop strong problem-solving skills, crucial for exams and real-life applications.
- Comprehensive Practice: The exercises provide ample practice opportunities, reinforcing understanding and confidence in applying cumulative frequency concepts.
RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.3 FAQs
What is cumulative frequency distribution?
Cumulative frequency distribution is a way to summarize data by showing the total frequency of values less than or equal to a certain value in a data set.
How do you construct an ogive curve using cumulative frequency data?
To construct an ogive (cumulative frequency curve), plot points where each point represents the cumulative frequency against the upper class boundaries. Then connect these points smoothly to form the curve.
Why is ogive used in statistics?
Ogives are used to visualize and analyze cumulative frequency distributions. They help identify trends, distribution patterns, and critical values in data sets.
How do you interpret an ogive curve?
An ogive curve shows how data accumulates over time or across intervals. The steepness of the curve indicates the rate at which data accumulates. Interpreting an ogive helps in understanding the distribution and cumulative behavior of data.
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