1.

Let x1, x2, ……xn, be n observations. Let yi = axi + b for I = 1, 2, ….., n, where a and b are constant. If the mean of is 48 and their standard deviation is 12, the mean of y'si is 55 and standard deviation of  y'si  is 15, the values of a and b are A. a = 1.25, b = -5  B. a = -1.25, b = 5C. a = 2.5, b = -5 D. a = 2.5, b = 5

Answer»

Mean(y) = a.mean(x) + b 

Therefore, 

55 = a.48 + b 

We can see that only first option satisfies this equation. Therefore, a is the correct answer.



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