20 POINTS Describe a sequence of transformations that maps Figure A to Figure B.

Two figures on a coordinate plane. Figure A is in quadrant 1 and looks like the letter K turned on its side facing downward. Figure B is in quadrant 2, is larger than Figure A, and looks like the normal letter K.

A 270° rotation about the origin, and then a dilation of 2 with center (0, 0).

A 270° rotation about the origin, and then an expansion of 2 with center (0, 0).

A 90° rotation about the origin, and then an expansion of 2 with center (0, 0).

A 90° rotation about the origin, and then a dilation of 2 with center (0, 0).

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