JEE Exam > JEE Questions > If coefficient of variation of a distribution...
Start Learning for Free
If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean is
Correct answer is '30'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
If coefficient of variation of a distribution is 60% and its standard ...
Calculation of Arithmetic Mean given Coefficient of Variation and Standard Deviation
Given:
Coefficient of Variation (CV) = 60%
Standard Deviation (σ) = 18
The coefficient of variation (CV) is a measure of relative variability, which is calculated as the ratio of the standard deviation to the mean. It is often expressed as a percentage.
Formula:
CV = (σ / mean) * 100
To find the arithmetic mean, we need to rearrange the formula:
mean = σ / (CV/100)
Substituting the given values:
mean = 18 / (60/100)
mean = 18 / 0.6
mean = 30
Therefore, the arithmetic mean of the distribution is 30.
Explanation:
The coefficient of variation (CV) is a measure of relative variability and is used to compare the dispersion of data sets with different units of measurement or scales. In this case, the CV is given as 60%.
The standard deviation (σ) measures the dispersion or variability of the data set. It is given as 18.
To find the arithmetic mean, we rearrange the formula for CV and solve for the mean:
CV = (σ / mean) * 100
mean = σ / (CV/100)
Substituting the given values, we have:
mean = 18 / (60/100)
mean = 18 / 0.6
mean = 30
Hence, the arithmetic mean of the distribution is calculated to be 30. This means that on average, the values in the distribution are centered around 30.
Conclusion:
The arithmetic mean of the distribution is 30, given a coefficient of variation of 60% and a standard deviation of 18.
Given:
Coefficient of Variation (CV) = 60%
Standard Deviation (σ) = 18
The coefficient of variation (CV) is a measure of relative variability, which is calculated as the ratio of the standard deviation to the mean. It is often expressed as a percentage.
Formula:
CV = (σ / mean) * 100
To find the arithmetic mean, we need to rearrange the formula:
mean = σ / (CV/100)
Substituting the given values:
mean = 18 / (60/100)
mean = 18 / 0.6
mean = 30
Therefore, the arithmetic mean of the distribution is 30.
Explanation:
The coefficient of variation (CV) is a measure of relative variability and is used to compare the dispersion of data sets with different units of measurement or scales. In this case, the CV is given as 60%.
The standard deviation (σ) measures the dispersion or variability of the data set. It is given as 18.
To find the arithmetic mean, we rearrange the formula for CV and solve for the mean:
CV = (σ / mean) * 100
mean = σ / (CV/100)
Substituting the given values, we have:
mean = 18 / (60/100)
mean = 18 / 0.6
mean = 30
Hence, the arithmetic mean of the distribution is calculated to be 30. This means that on average, the values in the distribution are centered around 30.
Conclusion:
The arithmetic mean of the distribution is 30, given a coefficient of variation of 60% and a standard deviation of 18.
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
If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer?
Question Description
If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. 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 If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer?.
If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. 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 If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer?.
Solutions for If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. 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 If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer?, a detailed solution for If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer? has been provided alongside types of If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice If coefficient of variation of a distribution is 60% and its standard deviation is 18, then its arithmetic mean isCorrect answer is '30'. 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