Choose all that correctly define the point on the directed line segment between the two given points that partitions the segment in the given ratio

Line segment AB has endpoints A(5, 4) and B(2,7). The coordinates (4,5) divides the line segment directed
from A to B in the ratio of 1:2

Line segment AB has endpoints A(6,5) and B(3,8). The coordinates (5,6) divides the line segment directed
from A to B in the ratio of 1:2.

Line segment AB has endpoints A(5,7) and B(8,4). The coordinates (6,5) divides the line segment directed
from A to B in the ratio of 1:2.

Line segment AB has endpoints A(7, 2) and B(4,8). The coordinates (5, 4) divides the line segment directed
from A to B in the ratio of 1:2.

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above