UPSC Exam > UPSC Questions > If x Andy are related by y= 2x+5and sd and am...
Start Learning for Free
If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is?
Most Upvoted Answer
If x Andy are related by y= 2x+5and sd and am of x are known to be 5 a...
Calculation of Coefficient of Variation
- Step 1: Calculate the mean and standard deviation of y
Given y = 2x + 5, we can substitute x = mean of x to find the mean of y:
Mean of y = 2*(mean of x) + 5 = 2*5 + 5 = 15
Next, to find the standard deviation of y, we can use the formula:
sd(y) = 2 * sd(x) = 2 * 5 = 10
- Step 2: Calculate the coefficient of variation
Coefficient of variation (CV) is calculated as the ratio of standard deviation to the mean, multiplied by 100:
CV = (sd(y) / mean of y) * 100
= (10 / 15) * 100
= 66.67%
Therefore, the coefficient of variation for the relationship between x and y is 66.67%. This value indicates the relative variability of y compared to its mean, giving us insight into the dispersion of data points around the mean.
- Step 1: Calculate the mean and standard deviation of y
Given y = 2x + 5, we can substitute x = mean of x to find the mean of y:
Mean of y = 2*(mean of x) + 5 = 2*5 + 5 = 15
Next, to find the standard deviation of y, we can use the formula:
sd(y) = 2 * sd(x) = 2 * 5 = 10
- Step 2: Calculate the coefficient of variation
Coefficient of variation (CV) is calculated as the ratio of standard deviation to the mean, multiplied by 100:
CV = (sd(y) / mean of y) * 100
= (10 / 15) * 100
= 66.67%
Therefore, the coefficient of variation for the relationship between x and y is 66.67%. This value indicates the relative variability of y compared to its mean, giving us insight into the dispersion of data points around the mean.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is?
Question Description
If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is?.
If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is?.
Solutions for If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? defined & explained in the simplest way possible. Besides giving the explanation of
If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is?, a detailed solution for If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? has been provided alongside types of If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? theory, EduRev gives you an
ample number of questions to practice If x Andy are related by y= 2x+5and sd and am of x are known to be 5 and 10 respectively then the coefficient of variation is? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
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