4BST2_041140597_TMA1.docx - BBM 203/05 BUSINESS STATISTICS TMA 1 Date of submission Name IC no Student ID H/P no Tutorial Tutor On date Late KHOR HAO

4BST2_041140597_TMA1.docx - BBM 203/05 BUSINESS STATISTICS...

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BBM 203/05 BUSINESS STATISTICS TMA 1 Date of submission [ ] On date [ ] Late Name KHOR HAO YUN IC no. 941222-07-5556 Student ID 041140597 H/P no. 017-4488422 Tutorial 4 BST 2 Tutor MR. BARATH MUNIANDY
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Question 1 a) The data is continuous quantitative data due to the variable is obtained through measurement. Besides, the values are real number which consists of decimal values. b) Mean (Investment A) = x n x = (30.00 – 2.13 + 4.30 + 25.00 + 12.89 – 20.24 + 1.20 – 2.59 + 33.00 + 14.26 – 15.83 +0.63 + 38.00 + 6.93 – 13.24 – 18.95 + 9.43 + 1.21 + 31.76 + 11.07 + 8.47 + 36.08 -21.95 + 10.33 + 12.68 + 13.09 + 13.77 + 22.42 + 34.40 + 49.87 + 22.92 + 20.95 + 43.71 -12.83 + 0.52 + 61.00 – 11.96 + 1.94 + 28.45 – 8.55 – 5.29 – 7.04 – 12.11 + 12.89 + 63.00 – 19.27 – 9.22 – 17.00 + 17.30 + 52.00) = 547.27 n = 50 x n = 547.27 50 = 10.95 Mean (Investment A) = 10.95 Mean (Investment B) = x n x = 30.33 - 32.17 - 30.37 + 30.31 - 5.61 + 6.06 + 29.00 + 14.73 - 26.01 + 36.13 + 0.46 + 1.53 + 2.07 + 17.61 + 29.44 + 1.20 + 11.00 + 9.94 - 25.93 - 33.39 + 8.29 + 58.67 + 61.00 + 0.25 - 20.44 + 5.23 - 34.75 + 66.00 + 54.19 + 24.30 + 44.00 - 10.01 - 20.23 + 35.24 + 4.16 + 40.70 + 10.03 + 22.18 + 10.51 + 3.24 + 39.04 + 25.10 + 24.76 - 24.24 + 15.28 - 38.47 + 34.21 + 13.44 + 52.00 + 68.00
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= 638.01 n = 50 x n = 638.01 50 = 12.76 Mean (Investment B) = 12.76 Mean (Investment C) = x n x = (6.80 - 26.90 + 64.26 + 35.58 - 18.74 - 27.96 + 24.37 + 12.71 - 15.46 - 1.81 - 16.25 + 6.11 - 17.33 + 6.04 + 7.60 + 40.45 + 57.41 - 30.72 + 65.97 – 36.68 - 26.24 + 27.93 + 57.01 - 28.17 + 61.24 - 34.75 + 58.28 + 9.66 – 28.54 + 63.37 + 19.84 - 4.15 + 13.73 + 23.46 + 8.80 - 11.53 + 62.64 + 3.19 + 28.23 + 24.34 + 7.05 + 22.87 - 28.51 + 45.21 + 64.88 - 18.09 + 47.27 – 9.59 + 22.70 - 26.10) = 591.48 n = 50 x n = 591.48 50 = 11.83 Mean (Investment C) = 11.83 Median (Investment A) = -21.95, -20.24, -19.27, -18.95, -17.00, -15.83, -13.24, -12.83, -12.11, -11.96, -9.22, -8.55, -7.04, -5.29, -2.59, -2.13, 0.52, 0.63, 1.20, 1.21, 1.94, 4.30, 6.93, 8.47, 9.43, 10.33, 11.07, 12.68, 12.89, 12.89, 13.09, 13.77, 14.26, 17.30, 20.95, 22.42, 22.92, 25.00, 28.45, 30.00, 31.76, 33.00, 34.40, 36.08, 38.00, 43.71, 49.87, 52.00, 61.00, 63.00
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There are two middle data, 9.43 and 10.33. The average of these middle data is 9.88, so the median is 9.88 . Median (Investment B) = -38.47, -34.75, -33.39, -32.17, -30.37, -26.01, -25.93, -24.24, -20.44, -20.23, -10.01, -5.61, 0.25, 0.46, 1.20, 1.53, 2.07, 3.24, 4.16, 5.23, 6.06, 8.29, 9.94, 10.03, 10.51, 11.00, 13.44, 14.73, 15.28, 17.61, 22.18, 24.30, 24.76, 25.10, 29.00, 29.44, 30.31, 30.33, 34.21, 35.24, 36.13, 39.04, 40.70, 44.00, 52.00, 54.19, 58.67, 61.00, 66.00, 68.00 There are two middle data, 10.51 and 11.00. The average of these middle data is 10.76, so the median is 10.76 . Median (Investment C) = -36.68, -34.75, -30.72, -28.54, -28.51, -28.17, -27.96 ,-26.90, -26.24, -26.10, -18.74, -18.09, -17.33, -16.25, -15.46, -11.53, -9.59, -4.15, -1.81, 3.19, 6.04, 6.11, 6.80, 7.05, 7.60, 8.80, 9.66, 12.71, 13.73, 19.84, 22.70, 22.87, 23.46, 24.34, 24.37, 27.93, 28.23, 35.58, 40.45, 45.21, 47.27, 57.01, 57.41, 58.28, 61.24, 62.64, 63.37, 64.26, 64.88, 65.97 There are two middle data, 7.60 and 8.80. The average of these middle data is 8.20, so the median is 8.20 . x x - ´ x ( x −´ x ) 2 -21.95 -21.95-10.95=-32.90 1,082.41 -20.24 -20.24-10.95=-31.19 972.82 -19.27 -19.27-10.95=-30.22 913.25 -18.95 -18.95-10.95=-29.90 894.01 -17.00 -17.00-10.95=-27.95 781.20 -15.83 -15.83-10.95=-26.78 717.17 -13.24 -13.24-10.95=-24.19 585.16 -12.83 -12.83-10.95=-23.78 565.49 -12.11 -12.11-10.95=-23.06 531.76 -11.96 -11.96-10.95=-22.91 524.87 -9.22 -9.22-10.95=-20.17 406.83 -8.55 -8.55-10.95=-19.50 380.25 -7.04 -7.04-10.95=-17.99 323.64 -5.29 -5.29-10.95=-16.24 263.74 -2.59 -2.59-10.95=-13.54 183.33 -2.13 -2.13-10.95=-13.08 171.09 0.52 0.52-10.95=-10.43 108.78 0.63 0.63-10.95=-10.32 106.50
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1.20 1.20-10.95=-9.75 95.06 1.21 1.21-10.95=-9.74 94.87 1.94 1.94-10.95=-9.01 81.18 4.30 4.30-10.95=-6.65 44.22 6.93 6.93-10.95=-4.02 16.16 8.47 8.47-10.95=-2.48 6.15 9.43 9.43-10.95=-1.52 2.31 10.33 10.33-10.95=-0.62 0.38 11.07 11.07-10.95=0.12 0.01 12.68 12.68-10.95=1.73 2.99 12.89 12.89-10.95=1.94 3.76 12.89 12.89-10.95=1.94 3.76 13.09 13.09-10.95=2.14 4.58 13.77 13.77-10.95=2.82 7.95 14.26 14.26-10.95=3.31 10.96 17.30 17.30-10.95=6.35 40.32 20.95 20.95-10.95=10.00 100.00 22.42 22.42-10.95=11.47 131.56 22.92 22.92-10.95=11.97 143.28 25.00
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