Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 > RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2)
Data Handling – II (Central Values Exercise 23.2) RD Sharma Solutions | Mathematics (Maths) Class 7 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
1. A die was thrown 20 times and the following scores were recorded:
5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1
Prepare the frequency table of the scores on the upper face of the die and find the
mean score.
Solution:
The frequency table for the given data is as follows:
x: 1 2 3 4 5 6
f: 2 5 1 4 6 2
To compute arithmetic mean we have to prepare the following table:
Scores (x
i
) Frequency (f
i
) x
i
f
i
1 2 2
2 5 10
3 1 3
4 4 16
5 6 30
6 2 12
Total S f
i
= 20 S f
i
x
i
Mean score = S f
i
x
i
/ S f
i
= 73/20
= 3.65
2. The daily wages (in Rs) of 15 workers in a factory are given below:
200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180
Prepare the frequency table and find the mean wage.
Solution:
Wages (x
i
) 130 150 180 200
Number of workers (f
i
) 2 4 6 3
To compute arithmetic mean we have to prepare the following table:
Page 2
1. A die was thrown 20 times and the following scores were recorded:
5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1
Prepare the frequency table of the scores on the upper face of the die and find the
mean score.
Solution:
The frequency table for the given data is as follows:
x: 1 2 3 4 5 6
f: 2 5 1 4 6 2
To compute arithmetic mean we have to prepare the following table:
Scores (x
i
) Frequency (f
i
) x
i
f
i
1 2 2
2 5 10
3 1 3
4 4 16
5 6 30
6 2 12
Total S f
i
= 20 S f
i
x
i
Mean score = S f
i
x
i
/ S f
i
= 73/20
= 3.65
2. The daily wages (in Rs) of 15 workers in a factory are given below:
200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180
Prepare the frequency table and find the mean wage.
Solution:
Wages (x
i
) 130 150 180 200
Number of workers (f
i
) 2 4 6 3
To compute arithmetic mean we have to prepare the following table:
x
i
f
i
x
i
f
i
130 2 260
150 4 600
180 6 1080
200 3 600
Total S f
i
= N = 15 S f
i
x
i
= 2540
Mean score = S f
i
x
i
/ S f
i
= 2540/15
= 169.33
3. The following table shows the weights (in kg) of 15 workers in a factory:
Weight (in Kg) 60 63 66 72 75
Number of workers 4 5 3 1 2
Calculate the mean weight.
Solution:
Calculation of mean:
x
i
f
i
x
i
f
i
60 4 240
63 5 315
66 3 198
72 1 72
75 2 150
Total S f
i
= N = 15 S f
i
x
i
= 975
Mean score = S f
i
x
i
/ S f
i
= 975/15
= 65 kg
4. The ages (in years) of 50 students of a class in a school are given below:
Age (in years) 14 15 16 17 18
Number of students 15 14 10 8 3
Find the mean age.
Solution:
Page 3
1. A die was thrown 20 times and the following scores were recorded:
5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1
Prepare the frequency table of the scores on the upper face of the die and find the
mean score.
Solution:
The frequency table for the given data is as follows:
x: 1 2 3 4 5 6
f: 2 5 1 4 6 2
To compute arithmetic mean we have to prepare the following table:
Scores (x
i
) Frequency (f
i
) x
i
f
i
1 2 2
2 5 10
3 1 3
4 4 16
5 6 30
6 2 12
Total S f
i
= 20 S f
i
x
i
Mean score = S f
i
x
i
/ S f
i
= 73/20
= 3.65
2. The daily wages (in Rs) of 15 workers in a factory are given below:
200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180
Prepare the frequency table and find the mean wage.
Solution:
Wages (x
i
) 130 150 180 200
Number of workers (f
i
) 2 4 6 3
To compute arithmetic mean we have to prepare the following table:
x
i
f
i
x
i
f
i
130 2 260
150 4 600
180 6 1080
200 3 600
Total S f
i
= N = 15 S f
i
x
i
= 2540
Mean score = S f
i
x
i
/ S f
i
= 2540/15
= 169.33
3. The following table shows the weights (in kg) of 15 workers in a factory:
Weight (in Kg) 60 63 66 72 75
Number of workers 4 5 3 1 2
Calculate the mean weight.
Solution:
Calculation of mean:
x
i
f
i
x
i
f
i
60 4 240
63 5 315
66 3 198
72 1 72
75 2 150
Total S f
i
= N = 15 S f
i
x
i
= 975
Mean score = S f
i
x
i
/ S f
i
= 975/15
= 65 kg
4. The ages (in years) of 50 students of a class in a school are given below:
Age (in years) 14 15 16 17 18
Number of students 15 14 10 8 3
Find the mean age.
Solution:
Calculation of mean:
x
i
f
i
x
i
f
i
14 15 210
15 14 210
16 10 160
17 8 136
18 3 54
Total S f
i
= N = 50 S f
i
x
i
= 770
Mean score = S f
i
x
i
/ S f
i
= 770/50
= 15.4 years
5. Calculate the mean for the following distribution:
x: 5 6 7 8 9
f: 4 8 14 11 3
Solution:
x
i
f
i
x
i
f
i
5 4 20
6 8 48
7 14 98
8 11 88
9 3 27
Total S f
i
= N = 40 S f
i
x
i
= 281
Mean score = S f
i
x
i
/ S f
i
= 281/40
= 7.025
6. Find the mean of the following data:
x: 19 21 23 25 27 29 31
f: 13 15 16 18 16 15 13
Solution:
Page 4
1. A die was thrown 20 times and the following scores were recorded:
5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1
Prepare the frequency table of the scores on the upper face of the die and find the
mean score.
Solution:
The frequency table for the given data is as follows:
x: 1 2 3 4 5 6
f: 2 5 1 4 6 2
To compute arithmetic mean we have to prepare the following table:
Scores (x
i
) Frequency (f
i
) x
i
f
i
1 2 2
2 5 10
3 1 3
4 4 16
5 6 30
6 2 12
Total S f
i
= 20 S f
i
x
i
Mean score = S f
i
x
i
/ S f
i
= 73/20
= 3.65
2. The daily wages (in Rs) of 15 workers in a factory are given below:
200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180
Prepare the frequency table and find the mean wage.
Solution:
Wages (x
i
) 130 150 180 200
Number of workers (f
i
) 2 4 6 3
To compute arithmetic mean we have to prepare the following table:
x
i
f
i
x
i
f
i
130 2 260
150 4 600
180 6 1080
200 3 600
Total S f
i
= N = 15 S f
i
x
i
= 2540
Mean score = S f
i
x
i
/ S f
i
= 2540/15
= 169.33
3. The following table shows the weights (in kg) of 15 workers in a factory:
Weight (in Kg) 60 63 66 72 75
Number of workers 4 5 3 1 2
Calculate the mean weight.
Solution:
Calculation of mean:
x
i
f
i
x
i
f
i
60 4 240
63 5 315
66 3 198
72 1 72
75 2 150
Total S f
i
= N = 15 S f
i
x
i
= 975
Mean score = S f
i
x
i
/ S f
i
= 975/15
= 65 kg
4. The ages (in years) of 50 students of a class in a school are given below:
Age (in years) 14 15 16 17 18
Number of students 15 14 10 8 3
Find the mean age.
Solution:
Calculation of mean:
x
i
f
i
x
i
f
i
14 15 210
15 14 210
16 10 160
17 8 136
18 3 54
Total S f
i
= N = 50 S f
i
x
i
= 770
Mean score = S f
i
x
i
/ S f
i
= 770/50
= 15.4 years
5. Calculate the mean for the following distribution:
x: 5 6 7 8 9
f: 4 8 14 11 3
Solution:
x
i
f
i
x
i
f
i
5 4 20
6 8 48
7 14 98
8 11 88
9 3 27
Total S f
i
= N = 40 S f
i
x
i
= 281
Mean score = S f
i
x
i
/ S f
i
= 281/40
= 7.025
6. Find the mean of the following data:
x: 19 21 23 25 27 29 31
f: 13 15 16 18 16 15 13
Solution:
x
i
f
i
x
i
f
i
19 13 247
21 15 315
23 16 368
25 18 450
27 16 432
29 15 435
31 13 403
Total S f
i
= N = 106 S f
i
x
i
= 2650
Mean score = S f
i
x
i
/ S f
i
= 2650/106
= 25
7. The mean of the following data is 20.6. Find the value of p.
x: 10 15 p 25 3 5
f: 3 10 25 7 5
Solution:
x
i
f
i
x
i
f
i
10 3 30
15 10 150
P 25 25p
25 7 175
3 5 5 175
Total S f
i
= N = 50 S f
i
x
i
= 530 + 25p
Mean score = S f
i
x
i
/ S f
i
20.6 = 530 + 25p/50
530 + 25 p = 20.6 x 50
25 p = 1030 – 530
p = 500/25
p = 20
8. If the mean of the following data is 15, find p.
Page 5
1. A die was thrown 20 times and the following scores were recorded:
5, 2, 1, 3, 4, 4, 5, 6, 2, 2, 4, 5, 5, 6, 2, 2, 4, 5, 5, 1
Prepare the frequency table of the scores on the upper face of the die and find the
mean score.
Solution:
The frequency table for the given data is as follows:
x: 1 2 3 4 5 6
f: 2 5 1 4 6 2
To compute arithmetic mean we have to prepare the following table:
Scores (x
i
) Frequency (f
i
) x
i
f
i
1 2 2
2 5 10
3 1 3
4 4 16
5 6 30
6 2 12
Total S f
i
= 20 S f
i
x
i
Mean score = S f
i
x
i
/ S f
i
= 73/20
= 3.65
2. The daily wages (in Rs) of 15 workers in a factory are given below:
200, 180, 150, 150, 130, 180, 180, 200, 150, 130, 180, 180, 200, 150, 180
Prepare the frequency table and find the mean wage.
Solution:
Wages (x
i
) 130 150 180 200
Number of workers (f
i
) 2 4 6 3
To compute arithmetic mean we have to prepare the following table:
x
i
f
i
x
i
f
i
130 2 260
150 4 600
180 6 1080
200 3 600
Total S f
i
= N = 15 S f
i
x
i
= 2540
Mean score = S f
i
x
i
/ S f
i
= 2540/15
= 169.33
3. The following table shows the weights (in kg) of 15 workers in a factory:
Weight (in Kg) 60 63 66 72 75
Number of workers 4 5 3 1 2
Calculate the mean weight.
Solution:
Calculation of mean:
x
i
f
i
x
i
f
i
60 4 240
63 5 315
66 3 198
72 1 72
75 2 150
Total S f
i
= N = 15 S f
i
x
i
= 975
Mean score = S f
i
x
i
/ S f
i
= 975/15
= 65 kg
4. The ages (in years) of 50 students of a class in a school are given below:
Age (in years) 14 15 16 17 18
Number of students 15 14 10 8 3
Find the mean age.
Solution:
Calculation of mean:
x
i
f
i
x
i
f
i
14 15 210
15 14 210
16 10 160
17 8 136
18 3 54
Total S f
i
= N = 50 S f
i
x
i
= 770
Mean score = S f
i
x
i
/ S f
i
= 770/50
= 15.4 years
5. Calculate the mean for the following distribution:
x: 5 6 7 8 9
f: 4 8 14 11 3
Solution:
x
i
f
i
x
i
f
i
5 4 20
6 8 48
7 14 98
8 11 88
9 3 27
Total S f
i
= N = 40 S f
i
x
i
= 281
Mean score = S f
i
x
i
/ S f
i
= 281/40
= 7.025
6. Find the mean of the following data:
x: 19 21 23 25 27 29 31
f: 13 15 16 18 16 15 13
Solution:
x
i
f
i
x
i
f
i
19 13 247
21 15 315
23 16 368
25 18 450
27 16 432
29 15 435
31 13 403
Total S f
i
= N = 106 S f
i
x
i
= 2650
Mean score = S f
i
x
i
/ S f
i
= 2650/106
= 25
7. The mean of the following data is 20.6. Find the value of p.
x: 10 15 p 25 3 5
f: 3 10 25 7 5
Solution:
x
i
f
i
x
i
f
i
10 3 30
15 10 150
P 25 25p
25 7 175
3 5 5 175
Total S f
i
= N = 50 S f
i
x
i
= 530 + 25p
Mean score = S f
i
x
i
/ S f
i
20.6 = 530 + 25p/50
530 + 25 p = 20.6 x 50
25 p = 1030 – 530
p = 500/25
p = 20
8. If the mean of the following data is 15, find p.
x: 5 10 15 20 25
f: 6 p 6 10 5
Solution:
x
i
f
i
x
i
f
i
5 6 30
10 P 10p
15 6 90
20 10 200
25 5 125
Total S f
i
= 27 + p S f
i
x
i
= 445 + 10p
Mean score = S f
i
x
i
/ S f
i
15 = 445 + 10p/27 + p
445 + 10 p = 405 + 15p
5 p = 445 – 405
p = 40/5
p = 8
9. Find the value of p for the following distribution whose mean is 16.6
x: 8 12 15 p 20 25 30
f: 12 16 20 24 16 8 4
Solution:
x
i
f
i
x
i
f
i
8 12 96
12 16 192
15 20 300
P 24 24p
20 16 320
25 8 200
30 4 120
Total S f
i
= N = 100 S f
i
x
i
= 1228 + 24p
Mean score = S f
i
x
i
/ S f
i
Read More
|
76 videos|345 docs|39 tests
|
Related Exams
About this Document
|
4.82/5 Rating |
|
Oct 25, 2024 Last updated |
Document Description: RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) for Class 7 2024 is part of Mathematics (Maths) Class 7 preparation.
The notes and questions for RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) have been prepared according to the Class 7 exam syllabus. Information about RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) covers topics
like and RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) Example, for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2).
Introduction of RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) in English is available as part of our Mathematics (Maths) Class 7
for Class 7 & RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) in Hindi for Mathematics (Maths) Class 7 course.
Download more important topics related with notes, lectures and mock test series for Class 7
Exam by signing up for free. Class 7: Data Handling – II (Central Values Exercise 23.2) RD Sharma Solutions | Mathematics (Maths) Class 7
Description
Full syllabus notes, lecture & questions for Data Handling – II (Central Values Exercise 23.2) RD Sharma Solutions | Mathematics (Maths) Class 7 - Class 7 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 7 | Best notes, free PDF download
Information about RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2)
In this doc you can find the meaning of RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) defined & explained in the simplest way possible. Besides explaining types of
RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) theory, EduRev gives you an ample number of questions to practice RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) tests, examples and also practice Class 7
tests
|
Explore Courses for Class 7 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
practice quizzes
,Important questions
,past year papers
,study material
,Summary
,Extra Questions
,Objective type Questions
,ppt
,video lectures
,Sample Paper
,Viva Questions
,shortcuts and tricks
,Free
,MCQs
,Data Handling – II (Central Values Exercise 23.2) RD Sharma Solutions | Mathematics (Maths) Class 7
,Data Handling – II (Central Values Exercise 23.2) RD Sharma Solutions | Mathematics (Maths) Class 7
,Data Handling – II (Central Values Exercise 23.2) RD Sharma Solutions | Mathematics (Maths) Class 7
,mock tests for examination
,Exam
,Semester Notes
,Previous Year Questions with Solutions
;
Additional Information about RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) for Class 7 Preparation
RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) Free PDF Download
The RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) is an invaluable resource that delves deep into the core of the Class 7 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) now and kickstart your journey towards success in the Class 7 exam.
Importance of RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2)
The importance of RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) cannot be overstated, especially for Class 7 aspirants.
This document holds the key to success in the Class 7 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) Notes
RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2).
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) Notes on EduRev are your ultimate resource for success.
RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) Class 7 Questions
The "RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) Class 7 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 7 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) on the App
Students of Class 7 can study RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2),
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of RD Sharma Solutions: Data Handling – II (Central Values Exercise 23.2) is prepared as per the latest Class 7 syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup