Statistics Worksheet

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Chapter Two 11. For the scores (2, 2, 0, 5, 1, 4, 1, 3, 0, 0, 1, 4, 4, 0, 1, 4, 3, 4, 2, 1, 0): N = 21; Sum = 42; Mean = (2+2+0+5+1+4+1+3+0+0+1+4+4+0+1+4+3+4+2+1+0)/21 = 2.0; Median = (0,0,0,0,0,1,1,1,1,1,2,2,2,3,3,4,4,4,4,4,5) = 2.0; Sum of Squared Deviations (SS) = (2-2)2+(2-2)2+(0-2)2+(5-2)2+(1-2)2+(4-2)2+ … (0-2)2 = 56.0; SD2 = SS/N = 56/21 = 2.67; SD = 2.67 = 1.63. 12. For the scores (1,112; 1,245; 1,361; 1,372; 1,472): N = 5; Sum = 6,562; Mean = Sum/N = 1312.4; Median = 1, 361; Sum of Squared Deviations (SS) = (1112-1312.4)2+(1245-1312.4)2+(1361-1312.4)2+(1372-1312.4)2+(1472-1312.4)2 = 76,089.2; SD2 = SS/N = 76,089.2/5 = 15,217.84; SD = 15,217.84 = 123.36. 13. For the scores (3.0, 3.4, 2.6, 3.3, 3.5, 3.2): N = 6; Sum = 19; Mean = Sum/N = 19/6 = 3.17; Median = (2.6+3.3)/2 = 2.95; Sum of Squared Deviations = (3-3.17)2+(3.4-3.17)2+(2.6-3.17)2+(3.3-3.17)2+(3.5-3.17)2+(3.2-3.17)2 = 0.533; SD2 = SS/N = 0.533/6 = 0.089; SD = 0.089 = 0.298. 16. (a) Gov CEOs 44 32 36 60 52 48 40 36 The Gov. mean is (44+36+52+40)/4 = 43.0; The CEO mean is (32+60+48+36)/4 = 44.0; The Gov. SD is (SS/N) = (140/4) = 5.92; The CEO SD is (480/4) = 10.95. (b) The mean is the arithmetic mean or average of scores for each category (Governors and CEOs). For example, to calculate the mean desk size for governors, I would sum 44, 36, 52, and 40, then divide by the total number of desks measured, thus giving 43. This is the average desk size of governors. The standard deviation represents a

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