RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5
In this article we have provided RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 prepared by our experts to help students to prepare better for their examinations.
Ananya Gupta11 Jul, 2024
Share
RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5: RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 focus on teaching students about measures of central tendency, including mean, median, and mode for grouped data.
These solutions, prepared by subject experts, provide clear explanations and detailed methods for calculating these measures. By practicing these exercises, students can enhance their understanding of how to interpret and analyze data sets using statistical measures.RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 Overview
The RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 were created by experts from Physics Wallah. They explain these concepts clearly, step by step. By using these solutions, students can get better at analyzing and interpreting data sets. These solutions are made to be easy to understand and are helpful for preparing for exams where these statistical measures are important.RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 PDF
You can find the PDF link for RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 below. It explains clearly how to calculate measures like mean, median, and mode for grouped data. Using this PDF will help you understand these concepts better and improve your skills in analyzing data. It's a useful resource for preparing for exams where these statistical measures are important.RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 PDF
RS Aggarwal Solutions for Class 10 Maths Chapter 9 Mean Median Mode Of Grouped Data Cumulative Frequency Graph And Ogive Exercise 9.5
Here we have provided RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 for the ease of students so that they can prepare better for their exams.Q. If the mean of 5 observations x , x + 2 , x + 4 , x + 6 and x + 8 is 11 , find the value of x.
Solution:
Q.
If the mean of 25 observations is 27 and each observation is decreased by 7, what will be the new mean?
Q.
Find the mean of the following data, using direct method:
Sum of the frequencies = 100
⇒
∑
f
i
= 100
⇒ 35 +
f
1
+
f
2
= 100
⇒
f
1
+
f
2
= 100-35
⇒
f
1
+
f
2
= 65
⇒
f
2
= 65 -
f
1
– – – – – – (1)
Now, the mean of the given data is given by
¯
x
= ∑(fi×xi)/∑fi
⇒ 188 =
6150
+
190
f
1
+
210
f
2
100
⇒ 18800 = 6150 + 190
f
1
+ 210
f
2
⇒ 18800 - 6150 = 190
f
1
+ 210
f
2
⇒ 12650 = 190
f
1
+ 210(65 -
f
1
) [from (1)]
⇒ 12650 = 190
f
1
- 210
f
1
+ 13650
⇒ 20
f
1
= 13650 - 12650
⇒ 20
f
1
= 1000
⇒
f
1
= 50
If
f
1
= 50, then
f
2
= 65 - 50 = 15
Thus, the value of
f
1
is 50 and
f
2
is 15.
Sum of the frequencies (
∑
f
i
) = 7 + f
1
+ 12 + f
2
+ 8 + 5 = 32 + f
1 +
f
2
⇒ 32 + f
1 +
f
2
= 50
⇒ f
1 +
f
2
= 18 ---------------------- (1)
Mid values (x) of the classes are 10, 30, 50, 70, 90, 110
Sum of the product of the frequencies and mid-values (
∑
f
i
x
i
) = 70 + 30f
1
+ 600 + 70f
2
+ 720 + 550
Mean = (∑
f
i
x
i
) / (∑
f
i
) = (70 + 30f
1
+ 600 + 70f
2
+ 720 + 550) / 50 = 57.6
⇒ 30 f
1
+ 70 f
2
= 940
⇒ 3f
1
+ 7f
2
= 94 ---------------------- (2)
Solving equations (1) and (2), we get
f
1
= 8 and f
2
= 10.
Therefore, the missing frequencies are 8 and 10.
Sum of the frequencies (
∑
f
i
) = 7 + f
1
+ 12 + f
2
+ 8 + 5 = 32 + f
1 +
f
2
⇒ 32 + f
1 +
f
2
= 50
⇒ f
1 +
f
2
= 18 ---------------------- (1)
Mid values (x) of the classes are 10, 30, 50, 70, 90, 110
Sum of the product of the frequencies and mid-values (
∑
f
i
x
i
) = 70 + 30f
1
+ 600 + 70f
2
+ 720 + 550
Mean = (∑
f
i
x
i
) / (∑
f
i
) = (70 + 30f
1
+ 600 + 70f
2
+ 720 + 550) / 50 = 57.6
⇒ 30 f
1
+ 70 f
2
= 940
⇒ 3f
1
+ 7f
2
= 94 ---------------------- (2)
Solving equations (1) and (2), we get
f
1
= 8 and f
2
= 10.
Therefore, the missing frequencies are 8 and 10.
Benefits of RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5
- Clear Explanation: The solutions provide clear explanations and step-by-step methods for calculating measures of central tendency like mean, median, and mode for grouped data, making it easier for students to understand these statistical concepts.
- Comprehensive Practice: By practicing these solutions, students gain proficiency in applying statistical measures to real-world data sets, enhancing their analytical skills.
- Conceptual Clarity: Students develop a deeper understanding of how to interpret and analyze data using measures of central tendency, which are fundamental in statistics.
- Expert Guidance: Prepared by subject experts from Physics Wallah, these solutions ensure accuracy and reliability, providing students with reliable guidance in mastering statistical concepts.
RS Aggarwal Solutions for Class 10 Maths Chapter 9 Exercise 9.5 FAQs
What is meant by measures of central tendency?
Measures of central tendency are statistical values that indicate where the center of a distribution of data lies. The main measures include mean, median, and mode.
Why are measures of central tendency important?
Measures of central tendency are important because they summarize and describe the main characteristics of a dataset. They provide a single value that represents the "center" or typical value of the data distribution.
When should you use mean, median, or mode?
Use the mean for symmetrically distributed data without outliers.
Use the median for skewed data or when outliers are present, as it is less affected by extreme values.
Use the mode to identify the most frequently occurring value, especially for categorical data.
What is the importance of mean, median, and mode in statistics?
Mean, median, and mode are important because they provide different perspectives on the central value or typical value of a dataset. They help summarize data and make comparisons between different datasets or parts of a dataset.
🔥 Trending Blogs
Talk to a counsellorHave doubts? Our support team will be happy to assist you!
Join 15 Million students on the app today!
Live & recorded classes available at easeDashboard for progress trackingMillions of practice questions at your fingertips
Free Learning Resources
PW Books
Notes (Class 10-12)
PW Study Materials
Notes (Class 6-9)
Ncert Solutions
Govt Exams
Our Other Websites
Class 6th to 12th Online Courses
Govt Job Exams Courses
UPSC Coaching
Defence Exam Coaching
Gate Exam Coaching
Other Exams
Know about Physics Wallah
Physics Wallah is an Indian edtech platform that provides accessible & comprehensive learning experiences to students from Class 6th to postgraduate level. We also provide extensive NCERT solutions, sample paper, NEET, JEE Mains, BITSAT previous year papers & more such resources to students. Physics Wallah also caters to over 3.5 million registered students and over 78 lakh+ Youtube subscribers with 4.8 rating on its app.
We Stand Out because
We provide students with intensive courses with India’s qualified & experienced faculties & mentors. PW strives to make the learning experience comprehensive and accessible for students of all sections of society. We believe in empowering every single student who couldn't dream of a good career in engineering and medical field earlier.
Our Key Focus Areas
Physics Wallah's main focus is to make the learning experience as economical as possible for all students. With our affordable courses like Lakshya, Udaan and Arjuna and many others, we have been able to provide a platform for lakhs of aspirants. From providing Chemistry, Maths, Physics formula to giving e-books of eminent authors like RD Sharma, RS Aggarwal and Lakhmir Singh, PW focuses on every single student's need for preparation.
What Makes Us Different
Physics Wallah strives to develop a comprehensive pedagogical structure for students, where they get a state-of-the-art learning experience with study material and resources. Apart from catering students preparing for JEE Mains and NEET, PW also provides study material for each state board like Uttar Pradesh, Bihar, and others
Copyright © 2026 Physicswallah Limited All rights reserved.
