Question

Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4

Answer 1

Applying the formula, it is found that the SP for both numbers is of 7.

The first step is finding the mean for both sets, hence:

$M_x = \frac{4 + 0 + 1 + 3}{4} = 2$

$M_y = \frac{5 + 2 + 1 + 4}{4} = 3$

Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:

$SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7$

The SP for both numbers is of 7.

A similar problem is given at brainly.com/question/20640860