Let x 1 , x 2 , ……x n , be n observations. Let y i = ax i + 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 is 55 and standard deviation of is 15, the values of a and b are

Question

Philoid · Accepted 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.

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 is 55 and standard deviation of is 15, the values of a and b are

Let x₁, x₂, ……x_n, be n observations. Let y_i = ax_i + 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 is 55 and standard deviation of is 15, the values of a and b are