Marcus is going to the grocery store to buy bananas and apples. The inequality below describes the relationship between a, the number of
pounds of apples Marcus needs to buy, and b, the number of pounds of
bananas he needs.

2a less than or equal to b

Which of these best explains the relationship?
a. Marcus needs to buy at most twice as many pounds of bananas as pounds of apples
b. Marcus needs to buy exactly as many pounds of apples as pounds of bananas
c. Marcus needs to buy at least twice as many pounds of bananas as pounds of apples
d. Marcus needs to buy at least twice as many pounds of apples as pounds of bananas

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