hw1_sol.pdf - MGT 201 Quantitative Analysis Fall 2018 Homework 1 Due Thursday October 4 2018 1 Mean x ¯= Pn i=1 xi n = P30 i=1 xi 30 = 44 39 38 30 =

hw1_sol.pdf - MGT 201 Quantitative Analysis Fall 2018...

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MGT 201 - Quantitative Analysis Fall 2018 Homework 1 Due Thursday, October 4, 2018 1. Mean ¯ x = n i =1 x i n = 30 i =1 x i 30 = 44+39+ ... +38 30 = 40 . 9 . Median = 39.5 because there are 15 data points below or at 39, and 15 data points above or at 40. Mode = 38 because it appears 4 times, which is the highest number of apprearances for a value. Variance: σ 2 = n i =1 ( x i - ¯ x ) 2 n = 30 i =1 ( x i - 40 . 9) 2 30 = (44 - 40 . 9) 2 + (39 - 40 . 9) 2 + . . . + (38 - 40 . 9) 2 30 = 41 . 1 . Standard deviation σ = σ 2 = 41 . 1 = 6 . 4 . Coefficient of variation = σ/ ¯ x = 0.16 = 16%. Range = max - min = 55 - 27 = 28 . First quartile: value that splits the first half of the (ordered) data into two equal size sets. There are 30 data points. The median is the average of the 15th and 16th ranked values. The first quartile splits the lowest 15 data points into two sets, so it is the 8th data point. Q 1 = 36. Third quartile: value that splits the second half of the (ordered) data into two equal size sets. The third quartile splits the highest 15 data points into two sets, so it is the 23rd data point.
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