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If x and y are related by y = 2x+ 5 and the SD and AM of x are known to be 5 and 10 respectively, then the coefficient of variation is
  • a)
    25
  • b)
    30
  • c)
    40
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If x and y are related by y = 2x+ 5 and the SD and AM of x are known t...
Given: y = 2x + 5, SD of x = 5, AM of x = 10

Coefficient of Variation (CV) = (SD of x / AM of x) * 100

Calculating the CV,
CV = (5 / 10) * 100
CV = 50

Now, we need to find the SD of y.
y = 2x + 5

SD of y = SD of (2x + 5)
SD of y = 2 * SD of x
SD of y = 2 * 5
SD of y = 10

Now, we can calculate the CV of y.
CV of y = (SD of y / AM of y) * 100

AM of y = AM of (2x + 5)
AM of y = 2 * AM of x + 5
AM of y = 2 * 10 + 5
AM of y = 25

CV of y = (10 / 25) * 100
CV of y = 40

Therefore, the coefficient of variation is 40. Hence, option C is the correct answer.
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If x and y are related by y = 2x+ 5 and the SD and AM of x are known to be 5 and 10 respectively, then the coefficient of variation isa)25b)30c)40d)20Correct answer is option 'C'. Can you explain this answer?
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