Chapter 2 Practice Problems 11, 12, 13, 16, 21
11. 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5 (numbers in order)
(a) 2 (b) 2 (c) 56 (d) 2.666 or 2.7 rounded o nearest tenth (e) 1.632 or 1.6 to the nearest tenth
12. 1,112 1,245 1,361 1,372 1,472
(a) 1,312.4 (b) 1,361 (c) 76,089.2 (d) 15,217.84 or 15,217.8 to the nearest tenth (e) 123.361 or 123.4 to the nearest tenth
13. 2.6, 3.0, 3.2, 3.3, 3.4, 3.5 (numbers in order) (a) 3.166 (b) 3.25 (c) .5333 (rounded) (d) .0889 (rounded) (e) .2981 ( rounded)
16. Governors – 36, 40, 44, 52 CEO’s – 32, 36, 48, 60
(a) Governors mean = 43, Governors SD = 5.916 CEO’s mean = 44,
CEO’s SD = 10.954
(b) In order to find the mean, there are four different numbers (scores), you add up all the scores to get the sum and then you divide that sum by four because there are four different scores. In order to get the standard deviation, you first find the mean and then you subtract that mean by each individual score. After you figure out the differences, you then take each individual one and square it (or multiply it by itself). After you have found the product of each one you then add them all together, then you take that sum and divide it by the amount of scores again which is four. After you have figured that out, you then find the square root and that gives you the standard deviation number.
(c) The means and the standard deviations differ because they are completely different formulas and in order to find the standard deviation, you use the mean. It seems the difference between the governors and the CEO’s is not off by too much and fairly even. These are both important people with their own companies. It seems the CEO’s had a larger company and can provide just a bit bigger office space for their people. There are also usually more governors with the government than there are CEO’s of one