What is the overlap of data set 1 and data set 2? high moderate low none two line plots aligned vertically so that their labels match. the first line plot is from 20 to 60, is labeled data set 1, and shows the following values that appear as x marks above the line. one x mark above 20. three x marks above 25. three x marks above 30. two x marks above 35. one x mark above 40. the second line plot is also from 20 to 60, is labeled data set 2, and shows the following values that appear as x marks above the line. one x mark above 35. two x marks above 40. three x marks above 45. two x marks above 50. one x mark above 55. one x mark above 60. image: do not include the blue squiggly lines under the xs.

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