Which of the following is a list of all the possible outcomes with 2 or 3 heads?

HHTT TTHH
HTHT THHH
HTTH HTHH
THHT HHTT
THTH HHHT
HHTT TTHH
HTHT THHH
HTTH HTHT
THHT HHTH
THTH HHHT
HHTT TTHH
HTHT THHH
HTTH HTHH
THHT HHTH
THTH
HHTT TTHH
HTHT THHH
HTTH HTHH
THHT HHTH
THTH HHHT
W. X. Y. Z.

A.
Z
B.
W
C.
X
D.
Y

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