17. In order to find the density of a rock, Michael needs to find the volume of the rock. Michael has a container in the shape of a rectangular prism. The base of the container is 20 centimeters
long and 10 centimeters wide. The height of the container is 12 centimeters. Michael puts water in the
prism until the height of the water is 6 centimeters. He then puts the rock in the water so that it is
completely submerged. The water rises to a height of 8 centimeters.
What is the volume, in cubic centimeters, of the rock?

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