PHY303K Experiment 1 - 300Marbles 0.140 0.120 0.100 P(x&G(X...

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-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 300 Marbles Column H Column G Bin Number P(x) & G(X)
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300 Marble Data x n(x) x n(x) x-xavg (x-xavg)^2 n(x) (x-xavg)^2 G(x) -10 6 -60 -8.79 77.32 463.94 0.009 -9 9 -81 -7.79 60.74 546.62 0.016 -8 7 -56 -6.79 46.15 323.05 0.024 -7 11 -77 -5.79 33.56 369.19 0.036 -6 9 -54 -4.79 22.98 206.78 0.049 -5 19 -95 -3.79 14.39 273.40 0.064 -4 21 -84 -2.79 7.80 163.86 0.077 -3 28 -84 -1.79 3.22 90.05 0.089 -2 27 -54 -0.79 0.63 16.99 0.096 -1 35 -35 0.21 0.04 1.49 0.098 0 32 0 1.21 1.46 46.59 0.094 1 27 27 2.21 4.87 131.47 0.085 2 18 36 3.21 10.28 185.09 0.072 3 12 36 4.21 17.70 212.35 0.057 4 11 44 5.21 27.11 298.20 0.043 5 13 65 6.21 38.52 500.80 0.031 6 6 36 7.21 51.94 311.62 0.020 7 2 14 8.21 67.35 134.70 0.013 8 5 40 9.21 84.76 423.81 0.008 9 0 0 10.21 104.18 0.00 0.004 10 2 20 11.21 125.59 251.18 0.002 Totals: 300 -362 800.58 4951.19 0.9873 x average = -1.21 = σ 4.069
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P(x) 0.020 0.030 0.023 0.037 0.030 0.063 0.070 0.093 0.090 0.117 0.107 0.090 0.060 0.040 0.037 0.043 0.020 0.007 0.017 0.000 0.007 1.000
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-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 0.000 0.020 0.040 0.060 0.080 0.100 0.120 0.140 0.160 First 50 Marble Rolls Column H Column G Bin Number P(x)
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First 50 Marble Rolls x n(x) x n(x) x-xavg (x-xavg)^2 n(x) (x-xavg)^2 G(x) P(x) -10 2 -20 -9.36 87.610 175.219 0.009 0.04 -9 2 -18 -8.36 69.890 139.779 0.015 0.04 -8 0 0 -7.36 54.170 0.000 0.022 0.00 -7 1 -7 -6.36 40.450 40.450 0.032 0.02 -6 3 -18 -5.36 28.730 86.189 0.043 0.06 -5 0 0 -4.36 19.010 0.000 0.056 0.00 -4 3 -12 -3.36 11.290 33.869 0.068 0.06 -3 5 -15 -2.36 5.570 27.848 0.079 0.10 -2 3 -6 -1.36 1.850 5.549 0.087 0.06 -1 7 -7 -0.36 0.130 0.907 0.090 0.14 0 3 0 0.64 0.410 1.229 0.090 0.06 1 6 6 1.64 2.690 16.138 0.085 0.12 2 3 6 2.64 6.970 20.909 0.076 0.06 3 3 9 3.64 13.250 39.749 0.064 0.06 4 2 8 4.64 21.530 43.059 0.052 0.04 5 3 15 5.64 31.810 95.429 0.040 0.06 6 2 12 6.64 44.090 88.179 0.029 0.04 7 1 7 7.64 58.370
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