Statistics Deviation

11. For the following scores, find the (a) mean, (b) median, (c) sum of squared
deviations, (d) variance, and (e) standard deviation:
2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0

12. For the following scores, find the (a) mean, (b) median, (c) sum of squared
deviations, (d) variance, and (e) standard deviation:
1,112; 1,245; 1,361; 1,372; 1,472

13. For the following scores, find the (a) mean, (b) median, (c) sum of squared
deviations, (d) variance, and (e) standard deviation:
3.0, 3.4, 2.6, 3.3, 3.5, 3.2

16. A psychologist interested in political behavior measured the square footage of the
desks in the official office of four U.S. governors and of four chief executive officers
(CEOs) of major U.S. corporations. The figures for the governors were 44, 36,
52, and 40 square feet. The figures for the CEOs were 32, 60, 48, and 36 square
feet. (a) Figure the means and standard deviations for the governors and for the
CEOs. (b) Explain, to a person who has never had a course in statistics, what you
have done. (c) Note the ways in which the means and standard deviations differ,
and speculate on the possible meaning of these differences, presuming that they
are representative of U.S. governors and large corporations’ CEOs in general.

21. Payne (2001) gave participants a computerized task in which they first see a
face and then a picture of either a gun or a tool. The task was to press one button
if it was a tool and a different one if it was a gun. Unknown to the participants
while they were doing the study, the faces served as a “prime” (something that
starts you thinking a particular way); half the time they were of a black person
and half the time of a white person. Table 2–9 shows the means and standard deviations
for reaction times (the time to decide if the picture is of a gun or a tool)
after either a black or white prime. (In Experiment 2, participants were told to