Geometry ! celeste is constructing the perpendicular bisector of st⎯⎯⎯⎯⎯ . which set of instructions explains a correct way to begin the construction? a) place the compass point on point s and open the compass so that the pencil point is on the midpoint of the line segment. draw an arc on each side of the segment. b) place the compass point on the midpoint of the line segment and open the compass so that the pencil point is on point s. draw an arc on each side of the segment. c) place the compass point on point s and open the compass so that the pencil point is on the segment, but closer to point t than to point s. draw an arc on each side of the segment. d) place the compass point on point s and open the compass so that the pencil point is on the segment, but closer to point s than to point t. draw an arc on each side of the segment.

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