Curva Normal
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- Words: 786
- Pages: 24
0.40000 0.35000 0.30000 0.25000 0.20000 0.15000 0.10000 0.05000
-2.75
-2.50
-2.25
-2.00
-1.75
-1.50
-1.25
-1.00
-0.75
-0.50
-2.50
-2.25
-2.00
-1.75
-1.50
-1.25
-1.00
-0.75
-0.50
0.00000
-2.75
Aux Acumulado 0.00443 0.00135 0.00909 0.00298 0.01753 0.00621 0.03174 0.01222 0.05399 0.02275 0.08628 0.04006 0.12952 0.06681 0.18265 0.10565 0.24197 0.15866 0.30114 0.22663 0.35207 0.30854 0.38667 0.40129 0.39894 0.50000 0.38667 0.59871 0.35207 0.69146 0.30114 0.77337 0.24197 0.84134 0.18265 0.89435 0.12952 0.93319 0.08628 0.95994 0.05399 0.97725 0.03174 0.98778 0.01753 0.99379 0.00909 0.99702 0.00443 0.99865
0.45000
-3.00
Datos -3.00 -2.75 -2.50 -2.25 -2.00 -1.75 -1.50 -1.25 -1.00 -0.75 -0.50 -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00
1 0
-3.00
Desvío Estándar Media
0.45000 0.40000 0.35000 0.30000 0.25000 0.20000 0.15000 0.10000 0.05000 0.00000
-2.00 -1.75 -1.50 -1.25 -1.00 -0.75 -0.50 -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00
-2.00 -1.75 -1.50 -1.25 -1.00 -0.75 -0.50 -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00
1
100 90 80 70 60 50 40 30 20 10
-160
-200
-240
0
-280
Frecuencia Dist Norm 0 0.0000 1 0.0000 1 0.0000 0 0.0001 2 0.0002 5 0.0005 13 0.0010 28 0.0018 40 0.0028 68 0.0037 84 0.0041 88 0.0038 63 0.0030 49 0.0020 31 0.0012 10 0.0006 10 0.0002 5 0.0001 1 0.0000 0 0.0000 0 0.0000
-320
Grupos -400 -360 -320 -280 -240 -200 -160 -120 -80 -40 0 40 80 120 160 200 240 280 320 360 400
4.49 98.36
-360
Promedio Desvío Standard
-400
Datos -59 22 38 34 -73 -157 -34 28 -38 -57 70 72 -78 55 -23 -104 79 35 -37 -70 -38 -10 -135 -147 103 125 -9 26 -71 125 9 -32 -50 -14 110 55 28 93 -53 -9 104 13 85 50 10 34 -44
-109 -126 -60 -56 206 -48 64 31 52 -51 -8 -168 -1 121 -97 -9 -88 19 159 -136 157 190 -65 -48 74 106 59 121 -73 78 1 -48 -88 -23 -16 -81 -167 -32 2 -24 -24 -374 110 13 -1 27 -163 -137
-45 47 11 -84 153 68 -46 82 44 -88 18 151 119 59 -75 134 168 293 -7 -43 -150 129 110 -28 26 181 -69 60 28 32 -131 -231 -84 31 -4 65 -44 -56 -66 -67 99 -139 40 5 -100 -165 225 83
28 21 2 7 50 -87 -86 46 -74 34 15 189 115 -132 -114 -239 70 88 76 129 83 92 22 -33 -5 -95 -47 118 29 -37 -66 93 115 -61 -13 -51 27 -15 -99 8 69 100 10 -38 -37 -161 -66 -278
-6 -149 -75 8 -189 0 -121 252 -45 0 47 128 96 -106 76 252 227 22 236 105 8 68 55 -36 -92 99 51 21 -104 -11 111 -145 -34 29 -21 -108 72 -31 142 -121 37 4 36 -115 -19 91 21 -9
60 -11 26 -322 -82 -155 65 -183 -59 -48 -175 -27 -96 35 -10 181 -144 54 122 72 -20 -30 117 -71 -141 118 70 -174 51 236 12 -28 -81 10 -71 -21 -4 60 -23 -30 -78 -5 67 -71 164 4 12 -40
-2 -72 24 93 -3 -108 25 -17 -13 111 40 -36 222 22 58 93 21 98 57 185 38 -1 -72 93 -117 -178 -25 122 -7 63 125 -122 -52 153 62 73 -35 -116 63 -134 -54 101 -44 -139 93 -68 26 -27
61 -50 -72 53 -42 -17 -60 -4 109 33 -43 15 -47 89 -84 -27 -37 3 -17 -13 57 11 134 26 49 100 170 168 -72 -112 219 269 -87 12 -66 -2 -87 57 -219 57 43 11 3 191 11 -44 109 131
-12 -4 71 -107 123 125 -122 42 -37 65 -98 44 85 -151 149 156 121 -69 67 3 137 28 -33 -37 50 -191 92 -239 -53 56 29 -197 -44 31 -114 155 31 -23 -12 126 -219 -67 -13 21 -102 16 -49 36
133 122 -12 -30 220 134 44 -139 -18 -98 15 -58 43 11 -59 -146 206 -145 65 -90 -107 -265 138 -148 -48 99 114 -56 209 -127 23 66 -27 39 -109 79 -26 97 49 -158 -82 101 27 241 -94 -172 -9 91
-57 34 92 -9 114 -48 83 254 90 30 -40 -6 3 -4 70 11 11 11 11 11 11
400
360
320
280
240
200
160
120
80
40
0
-40
-80
-120
-160
-200
-240
-280
-320
-360
0.01
0
0
0
0
0
0
-2.75
-2.50
-2.25
-2.00
-1.75
-1.50
-1.25
-1.00
-0.75
-0.50
-2.50
-2.25
-2.00
-1.75
-1.50
-1.25
-1.00
-0.75
-0.50
0.00000
-2.75
Aux Acumulado 0.00443 0.00135 0.00909 0.00298 0.01753 0.00621 0.03174 0.01222 0.05399 0.02275 0.08628 0.04006 0.12952 0.06681 0.18265 0.10565 0.24197 0.15866 0.30114 0.22663 0.35207 0.30854 0.38667 0.40129 0.39894 0.50000 0.38667 0.59871 0.35207 0.69146 0.30114 0.77337 0.24197 0.84134 0.18265 0.89435 0.12952 0.93319 0.08628 0.95994 0.05399 0.97725 0.03174 0.98778 0.01753 0.99379 0.00909 0.99702 0.00443 0.99865
0.45000
-3.00
Datos -3.00 -2.75 -2.50 -2.25 -2.00 -1.75 -1.50 -1.25 -1.00 -0.75 -0.50 -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00
1 0
-3.00
Desvío Estándar Media
0.45000 0.40000 0.35000 0.30000 0.25000 0.20000 0.15000 0.10000 0.05000 0.00000
-2.00 -1.75 -1.50 -1.25 -1.00 -0.75 -0.50 -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00
-2.00 -1.75 -1.50 -1.25 -1.00 -0.75 -0.50 -0.25 0.00 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.00 2.25 2.50 2.75 3.00
1
100 90 80 70 60 50 40 30 20 10
-160
-200
-240
0
-280
Frecuencia Dist Norm 0 0.0000 1 0.0000 1 0.0000 0 0.0001 2 0.0002 5 0.0005 13 0.0010 28 0.0018 40 0.0028 68 0.0037 84 0.0041 88 0.0038 63 0.0030 49 0.0020 31 0.0012 10 0.0006 10 0.0002 5 0.0001 1 0.0000 0 0.0000 0 0.0000
-320
Grupos -400 -360 -320 -280 -240 -200 -160 -120 -80 -40 0 40 80 120 160 200 240 280 320 360 400
4.49 98.36
-360
Promedio Desvío Standard
-400
Datos -59 22 38 34 -73 -157 -34 28 -38 -57 70 72 -78 55 -23 -104 79 35 -37 -70 -38 -10 -135 -147 103 125 -9 26 -71 125 9 -32 -50 -14 110 55 28 93 -53 -9 104 13 85 50 10 34 -44
-109 -126 -60 -56 206 -48 64 31 52 -51 -8 -168 -1 121 -97 -9 -88 19 159 -136 157 190 -65 -48 74 106 59 121 -73 78 1 -48 -88 -23 -16 -81 -167 -32 2 -24 -24 -374 110 13 -1 27 -163 -137
-45 47 11 -84 153 68 -46 82 44 -88 18 151 119 59 -75 134 168 293 -7 -43 -150 129 110 -28 26 181 -69 60 28 32 -131 -231 -84 31 -4 65 -44 -56 -66 -67 99 -139 40 5 -100 -165 225 83
28 21 2 7 50 -87 -86 46 -74 34 15 189 115 -132 -114 -239 70 88 76 129 83 92 22 -33 -5 -95 -47 118 29 -37 -66 93 115 -61 -13 -51 27 -15 -99 8 69 100 10 -38 -37 -161 -66 -278
-6 -149 -75 8 -189 0 -121 252 -45 0 47 128 96 -106 76 252 227 22 236 105 8 68 55 -36 -92 99 51 21 -104 -11 111 -145 -34 29 -21 -108 72 -31 142 -121 37 4 36 -115 -19 91 21 -9
60 -11 26 -322 -82 -155 65 -183 -59 -48 -175 -27 -96 35 -10 181 -144 54 122 72 -20 -30 117 -71 -141 118 70 -174 51 236 12 -28 -81 10 -71 -21 -4 60 -23 -30 -78 -5 67 -71 164 4 12 -40
-2 -72 24 93 -3 -108 25 -17 -13 111 40 -36 222 22 58 93 21 98 57 185 38 -1 -72 93 -117 -178 -25 122 -7 63 125 -122 -52 153 62 73 -35 -116 63 -134 -54 101 -44 -139 93 -68 26 -27
61 -50 -72 53 -42 -17 -60 -4 109 33 -43 15 -47 89 -84 -27 -37 3 -17 -13 57 11 134 26 49 100 170 168 -72 -112 219 269 -87 12 -66 -2 -87 57 -219 57 43 11 3 191 11 -44 109 131
-12 -4 71 -107 123 125 -122 42 -37 65 -98 44 85 -151 149 156 121 -69 67 3 137 28 -33 -37 50 -191 92 -239 -53 56 29 -197 -44 31 -114 155 31 -23 -12 126 -219 -67 -13 21 -102 16 -49 36
133 122 -12 -30 220 134 44 -139 -18 -98 15 -58 43 11 -59 -146 206 -145 65 -90 -107 -265 138 -148 -48 99 114 -56 209 -127 23 66 -27 39 -109 79 -26 97 49 -158 -82 101 27 241 -94 -172 -9 91
-57 34 92 -9 114 -48 83 254 90 30 -40 -6 3 -4 70 11 11 11 11 11 11
400
360
320
280
240
200
160
120
80
40
0
-40
-80
-120
-160
-200
-240
-280
-320
-360
0.01
0
0
0
0
0
0
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