n=100 uniformly distributed 1-100 1 2 3 4 5 6 6 8 10 11 13 14 14 15 15 15 16 16 16 16 17 18 18 20 22 23 24 24 24 25 28 29 29 30 30 30 31 32 32 32 33 33 40 40 41 41 42 44 52 53 54 54 54 55 55 56 56 56 57 60 60 63 63 64 66 67 68 68 75 75 76 76 77 80 80 81 82 82 82 83 84 84 86 88 89 89 90 90 91 91 91 93 95 95 96 96 97 97 98 100 n=100 normally distributed, u=50, s=5 40 40 42 42 42 42 42 43 43 43 44 44 44 44 44 44 45 45 45 45 46 46 46 46 46 46 47 47 47 47 47 47 47 47 47 48 48 48 48 48 48 48 48 49 49 49 49 49 49 49 49 49 49 50 50 50 50 50 50 50 50 51 51 51 51 51 52 52 52 53 53 53 53 53 53 53 54 54 54 54 54 54 55 55 55 55 55 55 56 56 57 57 57 58 58 60 61 62 62 63 right-skewed 0-99 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 2 2 3 3 3 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 8 8 8 8 9 9 9 9 9 11 11 11 12 12 12 14 14 14 14 14 15 15 15 15 16 16 17 17 17 17 18 18 19 20 22 23 26 26 27 28 28 29 30 31 36 36 36 37 39 40 40 41 44 46 47 52 66 69 76 76 78 80 87 96 n=200 right-skewed 0-100 0.017 0.11 0.145 0.49 0.512 0.575 0.618 0.641 0.657 0.704 0.732 0.852 0.927 0.955 1.03 1.368 1.617 1.914 2.023 2.114 2.114 2.205 2.398 2.649 2.802 2.885 3.022 3.12 3.189 3.242 3.342 3.433 3.459 3.627 3.698 3.915 4.25 4.292 4.3 4.548 4.554 4.962 5.669 5.736 5.774 5.957 5.963 6.136 6.162 6.24 6.319 6.44 6.933 7.173 7.253 7.356 7.481 7.509 7.585 7.784 7.921 7.925 8.18 8.235 8.728 8.954 9.268 9.352 9.389 9.596 9.721 9.894 9.921 10.003 10.066 10.257 10.692 10.841 10.93 11.044 11.102 11.227 11.343 11.426 11.457 11.684 11.746 12.056 12.256 12.553 12.667 13.119 13.833 14.014 14.033 14.278 14.363 15.313 15.365 16.101 16.363 16.389 16.398 16.434 16.68 17.019 17.186 17.268 17.363 17.607 17.848 17.913 18.321 18.599 18.744 18.823 18.881 19.116 19.219 19.401 20.385 20.598 20.775 20.887 21.084 21.086 21.159 21.223 21.653 21.721 21.796 22.78 22.792 23.191 23.643 24.202 24.401 24.495 25.264 25.270 25.653 25.767 25.909 27.344 28.009 28.375 28.445 28.957 29.258 29.976 30.679 31.502 31.765 32.024 32.117 33.238 33.422 34.814 35.527 36.094 36.106 36.457 37.33 37.945 37.956 39.046 39.317 39.736 39.863 39.921 40.128 40.357 40.736 42.025 42.062 42.236 42.352 44.141 45.792 47.154 48.066 48.118 49.552 49.626 51.542 52.077 53.017 54.348 56.943 57.123 60.225 60.708 61.797 66.162 74.241 77.339 86.806 92.267 96.799 99.753 left-skewed 1-100 1 13 20 22 24 24 31 34 48 53 54 56 59 60 60 61 63 64 64 64 69 70 71 72 72 73 74 74 77 78 80 81 82 82 83 83 83 83 84 84 85 85 85 85 86 86 86 86 86 88 88 88 89 89 89 91 91 91 91 91 92 92 92 92 93 93 93 94 94 94 94 95 95 95 95 96 96 96 97 97 97 97 98 98 98 98 98 99 99 99 99 99 100 100 100 100 100 100 100 100 bimodal: 2 norms 70 7 100 10 @200 ea. 57 64 72 80 71 64 64 68 77 76 83 72 74 67 70 65 67 77 83 76 69 64 77 82 68 67 68 75 67 72 88 74 62 75 84 71 70 57 53 80 72 72 59 70 61 63 91 70 84 63 74 51 61 68 60 61 49 72 66 62 76 74 72 80 75 76 69 60 45 68 82 70 64 78 79 64 63 59 76 65 74 58 70 65 65 79 70 59 63 70 61 66 72 63 69 73 64 65 64 71 82 63 68 66 60 67 71 67 60 73 80 76 80 70 65 69 70 58 64 63 66 76 61 69 63 56 71 75 78 78 75 61 62 81 53 71 84 75 59 69 79 70 72 66 66 77 68 65 69 65 66 67 70 68 75 76 70 67 68 67 59 87 68 68 82 70 80 77 65 78 86 71 68 83 82 71 69 74 65 61 76 64 79 57 72 70 63 59 68 71 73 62 79 73 79 65 81 75 65 70 106 116 110 94 101 91 122 111 112 86 104 93 99 99 109 94 101 108 106 98 95 100 110 93 99 86 99 101 101 93 101 85 103 114 87 92 115 103 109 102 100 95 106 103 87 82 94 107 88 124 111 118 111 101 110 113 93 82 92 91 90 95 78 97 97 106 106 95 114 100 87 102 118 81 105 83 98 94 97 98 92 105 110 98 87 100 96 100 91 108 95 100 119 103 105 103 92 106 102 108 92 96 91 110 91 109 95 104 76 102 93 111 101 107 94 103 117 90 98 89 106 113 97 86 97 111 117 107 130 111 101 103 108 85 86 112 78 100 109 100 86 84 101 103 94 89 83 87 91 92 100 111 95 121 120 94 96 101 99 117 91 116 92 106 96 109 99 107 115 101 99 95 92 96 91 102 87 107 119 110 93 103 102 95 95 88 95 105 95 87 94 109 92 88 94 110 90 89 104 102 right-skewed chi-sqr k=2 0.0017 0.0110 0.0145 0.0490 0.0512 0.0575 0.0618 0.0641 0.0657 0.0704 0.0732 0.0852 0.0927 0.0955 0.1030 0.1368 0.1617 0.1914 0.2023 0.2114 0.2114 0.2205 0.2398 0.2649 0.2802 0.2885 0.3022 0.3120 0.3188 0.3242 0.3342 0.3433 0.3459 0.3627 0.3698 0.3915 0.4250 0.4292 0.4300 0.4548 0.4554 0.4962 0.5669 0.5736 0.5774 0.5957 0.5963 0.6136 0.6162 0.6240 0.6319 0.6440 0.6933 0.7173 0.7253 0.7356 0.7481 0.7509 0.7585 0.7784 0.7921 0.7925 0.8180 0.8235 0.8728 0.8954 0.9268 0.9352 0.9389 0.9596 0.9721 0.9894 0.9921 1.0003 1.0066 1.0257 1.0692 1.0841 1.0930 1.1044 1.1102 1.1227 1.1343 1.1426 1.1457 1.1684 1.1746 1.2056 1.2256 1.2553 1.2667 1.3119 1.3833 1.4014 1.4033 1.4278 1.4363 1.5313 1.5365 1.6101 1.6363 1.6389 1.6398 1.6434 1.6680 1.7019 1.7186 1.7268 1.7363 1.7607 1.7848 1.7913 1.8321 1.8599 1.8744 1.8823 1.8881 1.9116 1.9219 1.9401 2.0385 2.0598 2.0775 2.0887 2.1084 2.1086 2.1159 2.1223 2.1653 2.1721 2.1796 2.2780 2.2792 2.3191 2.3643 2.4202 2.4401 2.4495 2.5264 2.5270 2.5653 2.5767 2.5909 2.7344 2.8009 2.8375 2.8446 2.8957 2.9258 2.9976 3.0679 3.1502 3.1765 3.2117 3.3238 3.3422 3.4814 3.5527 3.6094 3.6106 3.6457 3.7330 3.7945 3.7956 3.9046 3.9317 3.9736 3.9863 3.9921 4.0128 4.0357 4.0736 4.2025 4.2062 4.2236 4.2353 4.4141 4.5792 4.7154 4.8066 4.8118 4.9552 4.9626 5.1542 5.2078 5.3017 5.4348 5.6943 6.0225 6.0708 6.1797 6.6162 7.4241 7.7339 8.6806 9.2267 9.6799 9.9753 left-skewed 0.024699999999999278 0.32010000000000005 0.7733000000000008 1.3194 2.2661 2.5759 3.3838 3.8202999999999996 3.9292 3.9775 4.3057 4.5652 4.6983 4.7922 4.8458 5.0374 5.0448 5.1882 5.1934 5.2846 5.4208 5.5859 5.7647 5.7764 5.7938 5.7975 5.9264 5.9643 5.9872 6.007899999999999 6.0137 6.026400000000001 6.0683 6.0954 6.2044 6.2055 6.2669999999999995 6.3543 6.3894 6.3906 6.4473 6.5186 6.6578 6.6762 6.7883 6.8235 6.8498 6.9321 7.0024 7.074199999999999 7.1043 7.1554 7.1625 7.1991 7.2656 7.4091000000000005 7.423299999999999 7.434699999999999 7.473 7.473599999999999 7.5504999999999995 7.5599 7.5798000000000005 7.6357 7.680899999999999 7.7208000000000006 7.7219999999999995 7.820399999999999 7.8279 7.8347 7.8777 7.8841 7.8914 7.8916 7.911300000000001 7.922499999999999 7.9402 7.9615 8.0599 8.0781 8.0884 8.1119 8.1177 8.1256 8.1401 8.1679 8.2087 8.2152 8.2393 8.2637 8.2732 8.2814 8.2981 8.332 8.3566 8.3602 8.3611 8.3637 8.3899 8.4635 8.4687 8.5637 8.5722 8.5967 8.5986 8.6167 8.6881 8.7333 8.7447 8.7744 8.7944 8.8254 8.8316 8.8543 8.8574 8.8657 8.8773 8.8898 8.8956 8.907 8.9159 8.9308 8.9743 8.9934 8.9997 9.0079 9.0106 9.0279 9.0404 9.0611 9.0648 9.0732 9.1046 9.1272 9.1765 9.182 9.2075 9.2079 9.2216 9.2415 9.2491 9.2519 9.2644 9.2747 9.2827 9.3067 9.356 9.3681 9.376 9.3838 9.3864 9.4037 9.4043 9.4226 9.4264 9.4331 9.5038 9.544599999999999 9.5452 9.57 9.5708 9.575 9.6085 9.6302 9.6373 9.6541 9.6567 9.6658 9.6758 9.6812 9.688 9.6978 9.711500000000001 9.7198 9.7351 9.7602 9.7795 9.7886 9.7886 9.7977 9.8086 9.8383 9.8632 9.897 9.9045 9.9073 9.9148 9.9268 9.9296 9.9343 9.9359 9.9382 9.9425 9.9488 9.951 9.9855 9.989 9.9983 "abnormal" 124 75 85 130 77 118 73 120 74 119 71 116 119 76 80 75 127 119 117 81 109 76 119 71 75 85 123 118 83 78 127 123 125 109 127 124 130 128 75 73 118 87 121 118 116 89 123 89 116 125 72 81 120 130 130 126 83 77 74 126 115 121 74 120 105 80 80 76 126 73 123 121 130 91 79 123 114 127 122 126 105 78 83 72 124 127 89 114 91 128 120 124 129 75 124 87 126 126 112 72 101 74 119 126 71 78 115 129 128 71 122 118 123 77 116 128 73 124 90 74 77 84 122 76 127 97 75 78 115 128 74 127 130 73 109 119 84 71 75 109 79 74 75 128 93 113 128 107 125 82 72 78 126 128 130 110 124 82 73 130 124 128 77 121 73 71 110 78 123 107 125 120 80 125 129 82 76 77 122 77 72 129 78 78 126 130 76 72 130 127 123 74 90 73 77 116 81 129 80 71 128 124 118 130 79 116 76 78 114 89 84 80 87 75 80 72 78 80 130 81 124 128 122 81 72 81 77 127 74 113 115 83 78 125 74 71 111 126 111 130 87 77 77 73 124 126 80 117 128 128 74 84 74 116 76 73 91 118 130 71 124 81 122 79 80 129 80 77 121 77 78 71 117 123 84 123 72 115 82 77 127 77 117 74 72 79 78 128 124 77 126 119 77 127 118 128 122 83 123 80 126 78 129 120 77 83 77 120 71 71 113 125 123 114 76 76 126 125 71 73 124 123 124 82 85 78 127 119 72 71 121 119 120 122 127 73 84 115 125 128 125 103 71 118 124 79 119 76 79 77 119 79 121 123 115 73 71 92 71 84 116 77 78 115 71 71 78 127 123 115 74 109 110 118 94 127 130 84 78 119 76 127 119 125 82 85 74 117 76 74 126 111 126 71 121 115 123 86 121 126 71 78 116 125 122 74 130 104 77 87 74 76 75 125 124 75 114 87 72 96 81 82 71 71 109 78 130 109 75 130 76 79 128 130 72 76 75 127 119 71 116 78 82 79 71 128 127 126 127 130 75 127 72 126 118 73 118 75 76 129 71 79 75 72 87 108 119 125 124 81 73 128 120 80 78 130 130 75 126 126 72 130 124 128 85 128 75 82 130 128 120 98 75 85 124 82 113 123 72 90 121 82 121 125 123 118 82 74 123 123 83 119 73 114 120 77 72 122 127 118 92 74 128 84 78 112 72 96 129 81 124 128 126 88 76 75 123 127 122 76 130 117 119 76 126 77 81 111 129 78 71 81 78 71 74 125 85 121 128 72 73 74 126 77 72 129 124 72 83 113 129 92 72 121 128 75 126 121 127 86 71 80 120 75 128 127 108 123 115 129 76 123 77 130 116 76 78 121 76 119 123 71 122 125 74 128 130 75 79 127 130 128 128 125 120 80 79 78 75 93 119 114 74 75 92 127 79 126 124 79 110 122 121 73 72 118 73 71 90 125 122 119 125 88 126 81 76 86 107 73 123 75 116 74 119 76 125 113 128 81 128 72 121 71 75 119 121 77 80 80 128 80 84 121 120 124 80 126 130 129 122 72 114 88 81 72 80 130 72 124 72 125 74 121 109 73 129 88 74 120 74 76 72 130 84 129 73 78 127 79 128 94 87 123 77 123 125 79 112 88 73 127 81 124 71 71 82 112 74 73 76 84 111 125 73 71 126 79 78 113 126 80 128 118 128 74 115 121 128 72 72 129 119 73 78 84 83 130 129 78 90 81 119 76 77 118 122 78 71 73 74 125 129 125 113 71 127 73 129 75 120 126 86 91 121 77 78 112 82 76 119 114 72 118 107 123 114 82 87 127 121 130 122 129 71 77 72 124 129 73 130 73 76 130 72 71 73 78 117 117 76 121 127 130 125 94 76 126 92 112 122 124 74 79 77 126 78 76 129 124 82 129 82 72 72 77 72 121 129 87 130 72 76 86 75 120 128 78 76 71 128 71 130 81 121 73 127 78 78 71 124 74 71 119 80 89 79 76 114 71 76 130 83 87 130 82 129 77 127 87 126 80 121 97 120 122 130 73 78 128 96 122 72 115 78 87 76 73 115 73 100 129 74 80 124 130 123 79 78 73 124 118 74 73 84 93 78 75 71 84 81 126 79 130 128 130 121 125 120 74 114 80 95 117 119 120 86 84 130 118 93 72 110 71 77 126 127 71 82 115 130 75 76 77 117 74 119 125 71 117 81 129 71 71 81 130 125 130 79 128 74 78 82 127 77 89 73 73 121 74 84 124 72 72 84 79 72 120 120 113 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 50 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 0 0 0 0 0 0 0 0 0 0 50 50 50 50 50 50 50 50 50 50 100 100 100 100 100 100 100 100 100 100 0 0 0 0 0 0 0 0 0 0 10 10 10 10 10 10 10 10 10 20 20 20 20 20 20 20 20 30 30 30 30 30 30 30 40 40 40 40 40 40 50 50 50 50 50 60 60 60 60 60 60 70 70 70 70 70 70 70 80 80 80 80 80 80 80 80 90 90 90 90 90 90 90 90 90 100 100 100 100 100 100 100 100 100 100 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 5 5 5 10 10 10 10 10 10 10 10 15 15 15 15 15 15 15 20 20 20 20 20 20 25 25 25 25 25 30 30 30 30 35 35 35 40 40 45 0 0 0 0 0 0 0 0 0 0 5 5 5 5 5 5 5 5 5 10 10 10 10 10 10 10 10 15 15 15 15 15 15 15 20 20 20 20 20 20 25 25 25 25 25 30 30 30 30 35 35 35 40 40 45 50 55 60 60 65 65 65 70 70 70 70 75 75 75 75 75 80 80 80 80 80 80 85 85 85 85 85 85 85 90 90 90 90 90 90 90 90 95 95 95 95 95 95 95 95 95 100 100 100 100 100 100 100 100 100 100