Question

Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is 10, and the mean of the y-coordinates of the points is -8, the line must pass through which of these points.

A. (-8,10)
B. (10,-8)
C.(8,-10)
D. (-10,8)

Answer 1

c. (8, -10)

Explanation:

Answer 2

Answer with explanation:

Mean of the x coordinate of points =10

Mean of the y coordinate of point = -8

The answer can be proved by ,taking few points in the coordinate plane.

Let the points be, (1,2),(3,6),(5,10).

Mean of Abscissa and Ordinate

`=((1+3+5)/(3),(2+6+10)/(3))\\\\=(3,6)`

→→So, If the mean of the x-coordinates of the points is 10, and the mean of the y-coordinates of the points is -8, the line will pass through = (10, -8)

Option B : (10 , -8)