Critical Thinking Each of the following data sets has a mean of x 510.

(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.

(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.

AppendixLO1