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Let x be the mean of x₁, x₂, x₃, , x_n . If x_i=a+cy_i for some constants a and c , then what will be the mean of y ₁, y ₂, y ₃, ., y _ n ?

Options

  1. Aa+c x
  2. Ba- 1 c x
  3. C1 c x - a
  4. Dx -a c

Correct answer

D. x -a c

Step-by-step solution

aligned & Given, Mean of x _ i = x & Also, Given x _ i = a + cy y _ i & Mean of a + cy _ i = x & Mean of cy _ i = x - a & Mean of y _ i = x - a c aligned

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