a) from the table values below produce a histogram of the Market value

b) from the table values below produce Descriptive Statistics for the Market value

c) from the table values below produce a boxplot describing the different Market Values. Show the boxplot horizontally.

d)Using your output from (a) to (c), comment on the shape of the distribution of the Forbes data. In particular, briefly describe: The shape of the distribution (skewed or symmetric); Modality: whether there is one peak, or multiple peaks, in the distribution. Whether there appear to be any outliers.

e)Which measures of central tendency and dispersion would you use to numerically summarise and compare the market value for different companies?

f) from the table values below plot the Normality curve for the market value variable and briefly describe the plot and whether the data follows a Normal Distribution.

marketvalue

255.3 328.54 194.87 277.02 173.54 117.55 177.96 115.4 76.84 243.74 85.07 54.59 163.45 141.14 81.94 171.54 116.64 59.29 90.21 44.25 47.43 111.02 92.49 285.27 97.53 103.97 61.33 64.81 27.47 73 287.02 106.55 82.93 50.23 75.77 52.87 76.13 46.72 56.78 57.52 62.35 77.95 70.2 131.89 72.72 160.96 48.11 39.29 40.61 68.89 41.71 58.38 41.39 40.61 90.49 50.12 44.67 196.87 26.34 82.29 68.66 32.9 108.76 116.43 46.84 72.19 39.69 38.8 26.83 67.3 17.42 30.63 26.63 29.03 26.29 58.41 52.88 95.38 31.82 124.79 50.09 38 104.3 54.08 55.06 36.51 36.28 37.19 166.09 47.19 23.76 33.53 28.73 79.62 48.77 30.19 39.85 23.49 21.64 19.64 37.52 125.37 23.01 86.73 18.84 26.46 35.54 62.98 26.22 55.43 30 67.08 88.46 12.36 21.1 15.84 23.55 56.05 83.03 33.99 69.27 57.43 21.9 24.92 35.71 31.95 35.52 24.6 56.35 18.27 40.08 44.32 16.39 26.63 31.39 20.14 35.27 42.84 18.46 23.08 16.58 18.87 20.07 35.38 28.31 21.63 32.14 21.51 24.44 45.29 22.26 11.84 37.67 14.44 31.33 15.13 17.56 12.16 22.97 23.4 16.34 22.27 62.48 47.18 82.53 35.01 12.84 17.64 18.98 16.91 15.59 10.6 21.44 33.8 20.2 21.65 20.65 21.6 32.74 8.85 83.02 23.73 14.09 21.65 20.8 56.46 27.28 43.52 18.78 17.17 20.44 16.55 29.81 12.6 25.27 14.12 35.33 11.82 12.72 20.15 42.34 29.92 8 30.59 21.09 10.23 16.6 27.86 17.2 12.38 23.55 20.43 39.81 10.39 23.37 29.06 8.45 14.38 12.35 26.88 15.04 11.69 13.68 17.23 12.3 37.96 13.29 12.09 12.16 26.26 20.56 20.66 53.25 14.84 15.75 10.98 17.08 72.09 15.82 16.18 18.99 25.96 12.93 14.05 17.21 10.76 6.83 57.38 10.51 15 7.34 16.81 18.17 25.86 16.87 13.27 17.79 10.74 37.96 14.02 14.05 13.18 10.11 37.49 17.22 14.46 7.45 10.21 11.89 12.03 9.86 16.77 23.26 21.07 13.23 10.93 12.49 51.88 8.33 14.81 8.67 8.78 13.22 13.95 8.48 11.16 11.14 18.21 12.51 8.79 15.84 24.29 13.5 21.36 11.31 18.1 37.48 11.19 11.64 6.64 11.95 16.28 18.4 7.11 24.28 23.96 18.73 12.31 9.82 19.1 12.86 14.65 17.42 7.78 7.15 7.07 7.68 23.85 7.76 22.63 5.77 34.08 15.39 10.42 17.55 21.22 10.61 12.71 13.27 8.09 16.88 18.21 6.7 9.77 14.25 10.16 29.56 8.92 12.92 27.05 14.91 11.82 7.71 11.73 7.5 15.79 20.85 6.73 33.49 48.07 11.43 12.81 15.77 174.61 9.45 19.03 17.07 12.3 8.1 15.89 9.52 6.92 8.12 84.18 13.43 54.1 14.17 10.27 10.3 11.56 6.35 44.13 12.37 64.36 9.93 10.04 7.62 22.04 14.38 9.78 5.95 35.11 15.67 14.42 10.92 11.71 8.3 13.27 16.32 4.93 14.84 7.64 6.17 9.9 11.51 31.87 43.96 49.92 7.91 39.11 8.01 22.96 30.87 8.04 21.83 41.3 12.76 11.38 86.39 11.02 15.42 46.57 16.54 7.59 33.02 10.08 9.33 12.9 5.42 8.23 7.02 8.92 5.46 8.71 24.11 8.01 22.35 6.68 24.02 9.58 14.49 7.65 46.45 6.93 29.12 8.06 6.6 23.44 12.77 6.41 12.82 14.25 8.32 23.71 11.35 6.12 9.08 9.62 8.39 8.52 5.61 8.04 17.09 4.19 18.39 12.64 7.33 13.37 8.99 41.58 12.37 12.12 11.28 11.16 11.12 18.56 10.3 9.86 22.72 12.22 6.31 5.78 9.48 10.03 5.81 8.83 11.35 15.88 9.8 7.12 10.32 18.17 7.96 8.66 8.58 7.6 3 19.41 6.34 9.56 31.06 3.46 5.84 15.47 10.63 7.55 20.96 7.86 7.89 11 11.43 11.49 8.25 8.95 6.61 11.61 11.37 6.02 5.47 11.55 4.61 7.07 17.95 11.62 9.76 8.8 8.07 10.07 7.53 8.78 10.39 4.46 7.7 12.32 9.05 10.34 22.05 7.81 13.3 6.35 14.21 12.8 9.29 11.86 11.98 19.73 6.88 12.22 4.49 10.22 10.78 6.01 6.88 5.71 44.06 4.85 10.99 13.98 5.71 7.38 13.38 6.92 7.35 7.56 5.79 6.76 6.37 15.75 5.78 6.61 20.43 6.31 13.41 10.69 3.69 6.68 11.74 13.21 9.62 0.94 4.41 5.78 16.96 9.27 6.85 14.63 20.64 7.51 8.82 7.34 8.68 7.4 13.57 9.95 16.07 10.28 14.48 7.08 11.1 4.35 7.74 11.99 7.32 9.14 10.23 4.91 19.46 5.73 5 11.02 22.29 3.51 7.7 8.98 5.79 5.11 6.71 5.73 5.25 12.35 5.99 7.79 10.34 6.69 6.68 5.58 34.9 7.69 6 5.91 8.09 23.56 7.37 6.36 3.16 9.66 8.44 6.67 4.64 6.71 2.55 5.04 9.06 7.42 6.54 3.44 4.51 9.35 7.8 6.62 6.53 9.43 5.35 5.22 5.33 9.92 9.98 10.11 3.55 13.86 5.42 11.46 5.2 8.6 11.64 4.49 5.67 6.49 20.61 6.65 15.99 5.67 5.99 5.49 8.36 4.86 10.79 7.9 4.92 9.23 6.36 14.54 4.6 22.51 8.09 7.55 9.54 7.1 4.99 4.82 6.58 5.3 7.89 4.39 5.9 8.68 14.69 3.33 4.68 18.51 20.48 13.52 5.08 6.95 18.36 6.89 8.07 13.07 5.93 4.26 4.42 5.26 3.93 2.26 9.94 10.64 8.23 19.51 8.15 10.75 7.68 5.46 6.35 5.66 3.59 6.48 3.19 5.16 3.66 4.45 8.51 4.87 27.26 4.24 7.06 2.77 6.15 4.65 3.65 44.31 7.75 8.35 8.33 4.29 4.99 5.22 3.92 7.75 8.6 6.16 5.9 7.09 6.84 8.29 5.2 1.86 9.94 8.11 6.24 5.03 2.49 6.2 9.47 8.06 8.46 8.52 6.22 4.36 5.55 10.76 4.43 8.5 13.52 5.32 5.68 9.37 6.67 9.68 5.14 10.17 6.88 6.7 6.45 7.1 8.06 12.12 7.85 10.26 8.04 5.62 13.07 5.72 17.99 4.36 32.69 6.01 6.38 4.77 6.69 2.62 9.18 17.17 6.1 3.03 5.25 5.68 4.98 10.73 3.76 4.28 5.5 3.51 5.53 3.22 7.16 5.39 8.25 8.43 5.33 3.41 9.04 4.75 4.78 5.95 8.75 7.17 36.61 14.54 12.34 4.22 4.69 5.64 27.26 6.76 7.54 7.68 4.98 2.84 4.69 14.66 4.87 5.54 3.4 6.76 2.5 3.92 4.66 4.91 0.96 20.46 4.41 8.42 4.83 3.47 8.85 3.43 7.15 5.48 3.57 6.32 4.25 6.9 6.8 3.17 5.88 3.61 3.74 13.93 13.01 8.86 3.32 5.22 5.67 13.28 2.46 5.63 7.43 5.4 2.98 6.89 12.74 2.7 6.04 18.83 7.43 0.21 6.24 4.95 5.65 5.42 5.74 6.08 4.8 2.63 7.9 4.82 3.29 5.14 7.9 7.79 3.28 3.34 6.07 5.84 6.74 7.48 4.72 3.1 17.8 11.93 6.8 5.24 5.58 13.46 5.24 18.86 3.91 5.15 2.74 3.4 30.5 2.98 6.13 8.48 11.24 3.48 5.5 9.1 3.47 3.16 7.5 4.43 9.74 3.92 6.67 2.3 2.42 6.91 3.28 6.64 4.59 5.73 8.78 5.3 0.88 3.49 3.7 4.05 4.18 6.06 5.46 2.39 5.64 6.61 9.01 5.21 5.81 6.63 7.05 3.65 4.34 2.73 7.24 7.71 2.93 5.26 14.02 6.94 9.34 4.11 6.47 4.19 4.95 3.38 4.05 6.89 8.86 16.67 15.89 3.72 6 5.58 4.3 6.55 3.95 4.53 3.57 5.94 4.35 8.28 5.52 3.45 3.62 6.95 7.04 2.72 8.3 5.43 7.14 4.66 5.04 5.26 3.84 3.69 4.35 3.76 6.49 4.39 6.52 2.48 1.76 3.15 2.36 4.42 3.58 1.98 3.25 12.52 8.67 1.6 4.18 3.61 2.68 8.22 10.51 2.57 3.14 8.27 9.63 3.62 3.61 6.14 0.36 13.17 1.21 6.52 4.66 5.83 7.1 4.03 2.8 3.23 2.94 1.89 2.34 4.13 3.57 3.69 0.18 2.37 3.65 3.77 3.85 4.99 4.74 4.23 3.36 3.43 3.17 3.3 5.62 11.84 17.32 3.69 6.27 6.11 18.74 5.15 3.26 7.43 9.57 8.24 5.72 5.58 3.85 4.02 13.17 9.59 1.74 4.41 1 2.24 3.08 4.72 3.34 3.26 4.32 5.6 3.72 12.77 5.86 4.73 7.31 4.23 2.07 2.32 2.74 3.2 3.32 4.65 5.94 4.12 6.13 1.53 4.04 3.31 7.54 5.07 5.07 3.79 9.26 5.79 1.66 3.37 7.58 3.34 3.54 3.67 2.95 3.85 5.09 3.84 2.42 3.96 0.36 2.05 3.66 1.52 3.57 2.94 4.6 5.48 9.6 2.6 3.95 2.77 9.37 8.08 18.71 2.54 3.48 5.52 3.03 13.63 4.61 1.87 5.6 6.7 1.47 5.31 1.34 9.68 5.81 4.19 9.61 13.19 3.13 2.56 6.37 3.13 2.58 1.92 6.89 4.55 6.46 11.71 1.32 10.22 5.29 2.87 3.58 9.05 5.88 2.71 11.54 1.36 2.07 3.48 4.38 5.19 3.83 8.58 3.46 2.56 3.62 14.31 4.61 3.97 2.32 5.82 2.36 3.3 4.13 4.28 2.88 4.69 3.18 1.84 5.21 6.08 3.04 4.73 7.76 3.28 7.49 4.41 2.67 3.82 4.07 7.08 5.21 3.53 4.5 2.21 5.7 2.51 9.19 2.96 4.77 3.78 6.55 4.31 2.64 5.81 2.55 2.31 5.73 4.44 1.12 4.78 1.57 4.82 2.86 2.15 1.43 4.47 6.7 1.31 2.59 2.13 1.52 5.16 3.93 5.46 6.79 1.77 4.74 4.25 6.79 2.95 8.17 5.21 3.19 2.6 2.45 4.21 1.37 1.76 6.52 5.35 2.52 5.2 7.4 2.53 4.13 10.37 0.97 1.44 4.08 2.75 2.02 8.05 3.27 4.42 3.42 2.32 14.25 0.2 3 2.56 1.32 1.62 1.97 3.49 9.43 4.22 3.46 3.72 5.02 3.25 1.85 3.41 1.42 5.32 3.75 1.63 6.8 2.71 1.04 3.68 5.48 2.2 4.45 3.47 3.04 2.43 2.72 5.22 1.19 7.57 5.44 5.72 3.47 2.26 2.33 6.17 4.43 5.91 3.41 5.05 5.81 1.35 1.7 3.2 3.25 2.38 3.26 4.42 1.01 7.91 2.9 0.14 3.53 2.03 2.48 3.16 3.55 2.38 1.47 1.67 2.84 1.74 2.3 3.59 4.85 2.76 4.7 3.31 6.54 2.51 4.79 3.96 8.38 0.72 2.65 2.26 2.67 2.23 1.14 2.2 1.7 3.94 3.62 7.04 5.82 4.33 1 1.62 2.92 2.99 1.44 2.34 3.81 0.91 2.62 3.78 4.43 2.33 3.42 3.45 2.07 1.19 1.52 3.1 10.67 1.82 0.94 7.86 1.53 3.65 3.51 3.03 2.55 8.46 2.43 1.53 2.71 2.19 0.82 4.21 0.96 5.17 4.31 2.66 1.55 4.63 1.53 3.67 4.51 8.2 2.32 0.95 2.63 3.07 3.55 3.71 1.42 2.39 0.1 3.5 2.3 1.94 2.75 3.95 4.71 1.28 1.73 2.75 6.44 10.79 1.72 2.83 6.07 6.2 0.24 1.54 3.6 3.89 7.03 5.79 5.3 5.15 2.83 5.71 3.16 4.09 1.99 5.22 7.53 4.52 2.78 2.93 2.02 3.94 2.18 2.31 2.61 5 0.99 0.02 4.18 3.25 2.74 2.33 2.65 2.47 1.89 1.26 4.74 2.05 3.25 3.22 2.74 1.66 1.97 1.34 0.62 2.69 3.38 2.79 3.75 3.39 2.23 2.02 4.82 12.41 0.93 3.41 2.16 3.36 3.49 2.72 4.6 0.45 3.8 2.47 2.48 5.19 2.51 6.42 2.36 4.46 5.32 3.05 3.35 5.02 3.29 2.33 1.34 3.84 1.94 4.12 5.35 0.02 2.25 2.41 2.73 2.19 3.15 2.13 2.42 2.21 3.57 2.45 5.01 3.11 7.49 4.12 4.77 0.37 0.97 5.31 3.17 4.92 5.52 4.81 2.8 2.56 3.15 3.59 2.17 4.86 3.36 1.01 2.31 2.48 4.83 2.06 1.8 4.63 2.83 1.39 5.65 1.47 0.89 1.22 2.19 3.56 2.7 3.95 0.87 2.78 3.5 1.86 1.08 4.37 0.46 1.28 2.7 0.55 6.29 2.87 2.06 3.22 2.99 3.4 1.9 4.37 0.71 0.75 3.67 2.2 0.83 4.4 2.58 0.78 4.71 1.19 2.93 2.13 3.22 4.73 4.05 2.1 2.16 0.13 1.71 1.08 2.6 1.73 1.84 2.05 1.08 1.73 3.62 3.12 1.7 1.67 2.12 0.05 0.47 3.09 1.42 1.16 2.21 1.34 2.8 1.34 2.46 0.53 1.32 3.21 3.46 1.57 3.97 2.82 1.5 1.57 0.91 2.09 4.11 0.97 3.8 2.83 2.7 1.14 2.41 3.08 0.2 3.07 2.48 4.24 1.32 1.37 9.44 1.35 1.86 2.56 6.52 2.08 3.44 0.55 2.24 2.91 5.01 2.07 1.06 2.36 3.5 2.6 1.5 1.97 0.4 0.63 2.49 0.93 1.65 1.78 3.77 2.38 0.45 1.04 1.8 3.22 3.31 0.55 4.34 1.21 3.55 1.35 1.51 2.64 3.88 3.05 3.24 1.96 1.33 3.04 3.47 1.76 1.48 3.95 1.8 3.77 2.3 0.3 2.4 3.15 3.85 2.76 6.02 11.81 1.09 3.5 1.17 2.97 11.72 1.4 2.06 3.42 3.55 11.7 3.45 4.31 1.46 2.99 4.57 0.4 3.18 1.51 1.77 2.72 2.51 2.74 5.35 3.99 3.26 2.58 1.65 0.73 1.65 1.42 1.02 0.98 1.53 0.69 1.22 2.94 0.84 4.21 2.54 5.14 0.38 2.39 4.31 1.03 2.36 5.01 0.39 1.44 3.5 0.6 3.91 1.31 10.37 0.76 1.32 3.09 0.18 2.82 2.02 0.44 5.83 2.55 2.54 3.27 4.17 3.68 0.27 0.74 1.77 2.46 3.67 0.68 2.91 0.57 2.09 1.34 2.74 1.43 2.88 5.14 3.09 1.46 0.79 0.61 2.89 5.36 1.55 2.97 1.08 2.63 0.06 0.6 3.36 2.09 0.79 1.7 3.22 0.66 0.52 2.39 2.75 2.73 3.53 1.14 2.1 1.6 0.79 1.24 2.24 1.77 1.55 1.31 1.26 2.4 0.16 0.73 2.86 8.63 0.71 1.13 2.64 1.69 2.41 3.29 3.29 2.12 3.37 3.77 3.68 2.01 1.26 1.75 1.07 0.68 1.61 1.07 3.92 2.54 1.6 1.21 0.78 2.87 0.61 1.94 2.85 2.84 1.18 4.14 0.26 3.39 0.88 2.41 5.25 0.43 0.21 2.49 1.61 0.71 2.9 2.66 4.42 3.19 0.97 0.31 1.98 0.63 3.17 0.44 0.47 1.34 3.49 0.66 1.8 3.64 0.1 7.77 1.22 3.25 0.53 2.46 3.01 3.07 0.12 2.06 1.12 2.03 2.4 1.69 2.31 2.67 1.54 2.93 3.75 2.22 0.4 2.59 0.77 0.92 7.53 0.6 1.79 1.71 1.17 1.92 0.42 2.36 2.77 0.94 1.44 1.98 3.49 4.37 7.42 0.18 1.74 2.67 1.49 0.41 2.84 0.57 2.64 4.94 2.45 1.08 5.04 0.56 2.75 2.73 6.94 1.9 1.47 1.24 6.93 1.86 0.24 0.68 6.9 2.96 0.79 3.02 2.16 2.51 6.56 0.72 1.17 1.26 3 1.03 1.56 0.3 2.43 3.68 1.67 0.76 3.41 3.43 4.14 0.49 3.67 0.03 1.15 0.54 3.37 2.32 4.34 0.9 2.28 1.36 0.62 0.17 0.49 2.24 1.28 0.82 0.67 4.29 2.63 1.49 3.2 1.98 3.16 2.6 2.12 1.98 1.22 0.35 0.81 0.25 4.24 1.67 6.29 0.54 1.51 0.38 1.5 0.71 3.23 2.46 2.15 2.75 6.02 1.42 1.53 1.47 3.29 2.76 0.88 1.17