Homework #4.doc - LaShawn Faulkner Introduction to Statistics Psych 3500 Homework#4 Variability 1 Wall Street executives 36 38 40 42 50 60 70 90 = 426

Homework #4.doc - LaShawn Faulkner Introduction to...

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LaShawn Faulkner Introduction to Statistics Psych 3500 Homework #4 Variability 1. Wall Street executives: 36, 38, 40, 42, 50, 60, 70, 90 = 426 X (X-M) (X-M)² 36 -17.25 297.56 38 -15.25 232.56 40 -13.25 175.56 42 -11.25 126.25 50 -3.25 10.56 60 6.75 45.56 70 16.75 280.56 90 36.75 1350.56 a) Mean – (426/8) M = 53.25 b) Median – ((42+50)/2) = (92/2) = 46 c) Mode – No Mode d) Range – (90-36) = 54 e) sums of squares – 2519.48 f) Variance – (2519.48/8) = 314.94 g) Standard deviation – (√314.94) = 17.75 Members of Congress: 34, 34, 36, 36, 38, 40, 60, 68 = 346 X (X-M) (X-M)² 34 -9.25 85.56 34 -9.25 85.56 36 -7.25 52.56 36 -7.25 52.56 38 -5.25 27.56 40 -3.25 10.56 60 16.75 280.56 68 24.75 612.56
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LaShawn Faulkner Introduction to Statistics Psych 3500 Homework #4 Variability a) Mean – (346/8) M = 43.25 b) Median – ((36+38)/2) = (74/2) = 37 c) Mode – 34, 36 d) Range – (68-34) = 34 e) sums of squares – 1207.48 f) Variance – (1207.48/8) = 150.94 g) Standard deviation – (√150.94) = 12.29 h) explain the ways the means and standard deviations differ, and speculate on the possible meaning of these differences (assuming of course that our sample is representative of both groups ) The mean is used to find the central tendency of a distribution while the standard deviation is used to describe variability of a distribution. The difference is that the mean
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