statistics - Calculating standard deviation interval in java -

statistics - Calculating standard deviation interval in java -

i have int array represents bell shaped distribution if plot info using indexes x axis , values y values obtain graph this:

index value 0 46 1 659 2 541 3 519 4 431 5 480 6 441 7 448 8 530 9 557 10 625 11 670 12 818 13 994 14 953 15 1139 16 1221 17 1226 18 1394 19 1772 20 2006 21 2351 22 2590 23 2785 24 3164 25 3639 26 4304 27 4860 28 5539 29 6340 30 7799 31 9364 32 10912 33 13017 34 15571 35 18633 36 22181 37 26567 38 31027 39 36643 40 42486 41 49997 42 57444 43 65501 44 74261 45 83820 46 93841 47 104361 48 114911 49 125867 50 136503 51 148606 52 158489 53 168585 54 177544 55 185554 56 192791 57 200219 58 203626 59 206432 60 208801 61 207941 62 207363 63 205734 64 201727 65 197152 66 190431 67 182139 68 174938 69 165990 70 155895 71 146229 72 136247 73 126603 74 116665 75 106734 76 97147 77 87350 78 78454 79 70097 80 62644 81 55134 82 48509 83 42327 84 36758 85 32089 86 27850 87 23787 88 20226 89 17071 90 14624 91 12542 92 10511 93 8669 94 7150 95 6054 96 5069 97 4178 98 3390 99 2894 100 2291 101 1963 102 1711 103 1394 104 1191 105 969 106 924 107 802 108 711 109 604 110 562 111 608 112 613 113 633 114 639 115 591 116 662 117 594 118 580 119 626 120 610 121 633 122 605 123 617 124 608 125 558 126 564 127 573 128 521 129 474 130 487 131 475 132 477 133 459 134 439 135 428 136 391 137 355 138 345 139 342 140 353 141 347 142 304 143 302 144 291 145 247 146 234 147 217 148 219 149 187 150 178 151 166 152 147 153 115 154 139 155 118 156 125 157 131 158 108 159 103 160 86 161 99 162 85 163 77 164 68 165 66 166 70 167 57 168 35 169 42 170 45 171 41 172 37 173 37 174 32 175 46 176 37 177 34 178 23 179 40 180 27 181 30 182 33 183 39 184 41 185 51 186 50 187 36 188 31 189 32 190 31 191 24 192 33 193 24 194 30 195 34 196 35 197 32 198 39 199 46 200 6821

in image above greenish line shows index max value , greenish blocks represent standard deviation (sd) max (i'm not sure if sd proper name, i've heard people calling sigma value). want write java function takes int array , outputs lowest , highest boundaries given desired sd , max value. have far not much:

public static void getintervalminmax(int [] input){ int max = 0; for(int i=0; i<input.length; i++){ if(input[i]>max){ max = input[i]; } } int deviation = ??; system.out.println("min: "+(max-deviation)); system.out.println("max: "+(max+deviation)); }

i have checked post have not beingness able find function in library distribution sd. can please help me figure out how calculate deviation? thanks

standard deviation represented greek letter sigma sigma value same same thing. standard deviation square root of variance (also called sigma squared). variance defined average of distribution:

variance = sum( info | x ^ 2 ) / n - average( info ) ^ 2

i'd create class called distribution so:

public class distribution { private double[] data; private double max = double.nan; private double min = double.nan; private double variance = double.nan; private double average = double.nan; public getmax() { if( max == double.nan ) { calculatestats(); } homecoming max; } // each method getmin, getaverage, getvariance, etc written same way getmax(). private void calculatestats() { min = double.max_value; max = double.min_value; average = 0; variance = 0; for( int = 0; < data.length; i++ ) { double sample = data[i]; if( sample > max ) max = sample; if( sample < min ) min = sample; average += sample; variance += sample * sample; } average = average / data.length; variance = variance / data.length - average * average; } public double getstandarddeviation() { if( variance == double.nan ) { calculatestats(); } homecoming math.sqrt( variance ); } }

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