Commerce Exam > Commerce Questions > Calculate standard deviation and coefficient ...
Start Learning for Free
Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80?
Most Upvoted Answer
Calculate standard deviation and coefficient of variation from the fol...
Community Answer
Calculate standard deviation and coefficient of variation from the fol...
Calculating Standard Deviation and Coefficient of Variation
- Step 1: Find the class marks
- Step 2: Find the mean
- Step 3: Find the deviations
- Step 4: Find the squared deviations
- Step 5: Find the variance
- Step 6: Find the standard deviation
- Step 7: Find the coefficient of variation
Class marks refer to the mid-point of the range of each class. For example, for the first class, the range is 0-20. The mid-point of this range is 10. So, we can say that the class mark for the first class is 10.
The mean is the average of the class marks. To find the mean, we add up all the class marks and divide by the total number of students:
(8*10 + 20*30 + 50*50 + 70*90 + 80*90) / 298 = 64.43
The deviation is the difference between each class mark and the mean. To find the deviation, we subtract the mean from each class mark:
8: (10 - 64.43) = -54.43
20: (30.43) = -34.43
50: (85.57) = -14.43
70: (25.57) = 5.57
80: (25.57) = 15.57
We square each deviation to remove negative signs:
8: (-54.43)^2 = 2961.70
20: (-34.43)^2 = 1183.22
50: (-14.43)^2 = 208.36
70: (5.57)^2 = 31.02
80: (15.57)^2 = 242.29
The variance is the sum of the squared deviations divided by the total number of students minus one:
(2961.70 + 1183.22 + 208.36 + 31.02 + 242.29) / (298 - 1) = 1969.69
The standard deviation is the square root of the variance:
sqrt(1969.69) = 44.38
The coefficient of variation is the ratio of the standard deviation to the mean, expressed as a percentage:
(44.38 / 64.43) x 100% = 68.83%
Attention Commerce Students!
To make sure you are not studying endlessly, EduRev has designed Commerce study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Commerce.
|
Explore Courses for Commerce exam
|
|
Similar Commerce Doubts
Top Courses for CommerceView all
Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80?
Question Description
Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80?.
Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80?.
Solutions for Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? in English & in Hindi are available as part of our courses for Commerce.
Download more important topics, notes, lectures and mock test series for Commerce Exam by signing up for free.
Here you can find the meaning of Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? defined & explained in the simplest way possible. Besides giving the explanation of
Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80?, a detailed solution for Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? has been provided alongside types of Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? theory, EduRev gives you an
ample number of questions to practice Calculate standard deviation and coefficient of variation from the following data Marks. Number of students Below 20 8 Below 40. 20 Below 60. 50 Below 80. 70 Below 100. 80? tests, examples and also practice Commerce tests.
|
|
Explore Courses for Commerce exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup