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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?
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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.
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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?
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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?.
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