JEE Exam > JEE Questions > Coefficients of variation of two distribution...
Start Learning for Free
Coefficients of variation of two distributions are 50 and 60 and their arithmetic mean are 30 and 25 respectively. Difference of their standard deviation is
- a)0
- b)1
- c)1.5
- d)2.5
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Coefficients of variation of two distributions are50and60and their ari...
Calculation of Difference in Standard Deviation
Given:
- Coefficient of variation of Distribution 1 = 50
- Coefficient of variation of Distribution 2 = 60
- Arithmetic mean of Distribution 1 = 30
- Arithmetic mean of Distribution 2 = 25
Formula for Coefficient of Variation:
Coefficient of Variation = (Standard Deviation / Mean) x 100
Calculation:
1. For Distribution 1:
Coefficient of Variation = 50
Standard Deviation / 30 = 50 / 100
Standard Deviation = 15
2. For Distribution 2:
Coefficient of Variation = 60
Standard Deviation / 25 = 60 / 100
Standard Deviation = 15
Conclusion:
The standard deviation for both distributions is 15. Therefore, the difference in standard deviation between the two distributions is 0. Thus, the correct answer is option 'A'.
Given:
- Coefficient of variation of Distribution 1 = 50
- Coefficient of variation of Distribution 2 = 60
- Arithmetic mean of Distribution 1 = 30
- Arithmetic mean of Distribution 2 = 25
Formula for Coefficient of Variation:
Coefficient of Variation = (Standard Deviation / Mean) x 100
Calculation:
1. For Distribution 1:
Coefficient of Variation = 50
Standard Deviation / 30 = 50 / 100
Standard Deviation = 15
2. For Distribution 2:
Coefficient of Variation = 60
Standard Deviation / 25 = 60 / 100
Standard Deviation = 15
Conclusion:
The standard deviation for both distributions is 15. Therefore, the difference in standard deviation between the two distributions is 0. Thus, the correct answer is option 'A'.
Free Test
FREE
| Start Free Test |
Community Answer
Coefficients of variation of two distributions are50and60and their ari...
Here μ1 =30, μ2 = 25
and CV1 = 50, CV2 = 60
⇒ μ1σ1 × 100 = 50, μ2σ2 × 100 = 60
⇒ σ1=15,σ2 = 15 ∴ σ1−σ2=0
and CV1 = 50, CV2 = 60
⇒ μ1σ1 × 100 = 50, μ2σ2 × 100 = 60
⇒ σ1=15,σ2 = 15 ∴ σ1−σ2=0
Attention JEE Students!
To make sure you are not studying endlessly, EduRev has designed JEE study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in JEE.
|
Explore Courses for JEE exam
|
|
Similar JEE Doubts
Top Courses for JEEView all
Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer?
Question Description
Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer?.
Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer?.
Solutions for Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE.
Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Coefficients of variation of two distributions are50and60and their arithmetic mean are30and25respectively. Difference of their standard deviation isa)0b)1c)1.5d)2.5Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
|
|
Explore Courses for JEE 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
|
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