f x and y are related by y = 2x+ 5 and the SD and AM of x are known to be 5 and 10 respectively, thenthe coefficient of variation is(a) 25(b) 30(c) 40(d) 20
Question
f x and y are related by y = 2x+ 5 and the SD and AM of x are known to be 5 and 10 respectively, thenthe coefficient of variation is(a) 25(b) 30(c) 40(d) 20
Solution
To find the coefficient of variation, we need to calculate the standard deviation (SD) and the average or mean (AM) of the variable x.
Given that the SD of x is 5 and the AM of x is 10, we can use these values to calculate the coefficient of variation.
The coefficient of variation (CV) is calculated by dividing the SD by the AM and then multiplying by 100 to express it as a percentage.
CV = (SD / AM) * 100
Plugging in the given values, we have:
CV = (5 / 10) * 100 = 0.5 * 100 = 50
Therefore, the coefficient of variation is 50.
However, none of the given options (a, b, c, d) match the calculated coefficient of variation. Therefore, none of the options provided are correct.
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