Drag each label to the correct location on the image. Dave, Frida, Natalie, and Robbie have four adjacent seats at a baseball park. They randomly chose an order to sit in. Make a list of all the possible ways in which they can sit
in the four seats. Then match the events to their correct probabilities.
the probability of Dave and
Natalie sitting together
the probability of sitting
boy, girl, boy, girl or
girl, boy, girl, boy
the probability of the two
boys sitting in the middle
the probability of Frida
and Natalie sitting
together
the probability of Robbie
sitting between the girls
the probability of Natalie
sitting between Dave
and Robbie
1
2
1
3
1
6

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