At a railway yard, locomotives are used to haul containers carrying oil. A locomotive is chosen according to the volume of oil it can haul, as shown in the table. Locomotive

Capacity

A450 0−750 cubic feet
CG35 750−1,500 cubic feet
BR73 1,500−2,500 cubic feet
YH61 2,500−3,500 cubic feet

The four cylindrical containers listed in the table need to be hauled.

Cylinder

Length (ft.)

Diameter (ft.)

Fill Level

A 40 12 half
B 24 8 full
C 16 16 full
D 6 12 full

Match each container to the locomotive needed to haul it.

Tiles

A450

cylinder A

CG35

cylinder B

BR73

cylinder C

YH61

cylinder D

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