A random sample of teenagers were surveyed and asked about their favorite sport. The pie chart below displays their responses. A pie chart titled favorite sports. Basketball, 8 percent; football, 30 percent; Lacrosse, 8 percent; soccer, 40 percent; volleyball, 14 percent.

Which of the following statements is not correct?

Fewer students in the sample listed volleyball as their favorite sport than football.
More students in the sample listed lacrosse as their favorite sport than basketball.
More students in the sample listed basketball as their favorite sport than volleyball.
The highest percentage of teenagers in the sample listed soccer as their favorite sport

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