IQ to Percentile Conversion
The table below provides IQ to percentile conversion formula . There are three different standard deviations used to IQ measurement: standard deviation of 15 (e.g. Wechsler scale), SD16 (e.g. Stanford-Binet scale) and less frequently used SD24 (e.g. Catell scale).
Please note that IQ of 196 with SD15 represents one person out of 12 billion. This translates to an IQ of 202 on SD16 and IQ of 253 on SD24. So if an online IQ tests claims your IQ to be more than 200, it is probably not accurate.
IQ sd15 | IQ sd16 | IQ sd24 | Percentile | Rarity 1/X |
---|---|---|---|---|
196 | 202.4 | 253.6 | 99.999999992 | 12812462045 |
195 | 201.3 | 252.0 | 99.999999988 | 8299133761 |
194 | 200.3 | 250.4 | 99.999999981 | 5399067340 |
193 | 199.2 | 248.8 | 99.999999972 | 3527693270 |
192 | 198.1 | 247.2 | 99.999999957 | 2314980850 |
191 | 197.1 | 245.6 | 99.999999934 | 1525765721 |
190 | 196.0 | 244.0 | 99.999999901 | 1009976678 |
189 | 194.9 | 242.4 | 99.999999851 | 671455130 |
188 | 193.9 | 240.8 | 99.999999777 | 448336263 |
187 | 192.8 | 239.2 | 99.999999667 | 300656786 |
186 | 191.7 | 237.6 | 99.999999506 | 202496482 |
185 | 190.7 | 236.0 | 99.999999270 | 136975305 |
184 | 189.6 | 234.4 | 99.999998925 | 93056001 |
183 | 188.5 | 232.8 | 99.999998425 | 63492547 |
182 | 187.5 | 231.2 | 99.999997702 | 43508721 |
181 | 186.4 | 229.6 | 99.999996660 | 29943596 |
180 | 185.3 | 228.0 | 99.999995168 | 20696863 |
179 | 184.3 | 226.4 | 99.999993040 | 14367357 |
178 | 183.2 | 224.8 | 99.999990017 | 10016587 |
177 | 182.1 | 223.2 | 99.999985742 | 7013455 |
176 | 181.1 | 221.6 | 99.999979724 | 4931877 |
175 | 180.0 | 220.0 | 99.999971290 | 3483046 |
174 | 178.9 | 218.4 | 99.999959521 | 2470424 |
173 | 177.9 | 216.8 | 99.999943173 | 1759737 |
172 | 176.8 | 215.2 | 99.999920565 | 1258887 |
171 | 175.7 | 213.6 | 99.999889436 | 904454 |
170 | 174.7 | 212.0 | 99.999846766 | 652598 |
169 | 173.6 | 210.4 | 99.999788536 | 472893 |
168 | 172.5 | 208.8 | 99.999709421 | 344141 |
167 | 171.5 | 207.2 | 99.999602410 | 251515 |
166 | 170.4 | 205.6 | 99.999458305 | 184606 |
165 | 169.3 | 204.0 | 99.999265108 | 136074 |
164 | 168.3 | 202.4 | 99.999007244 | 100730 |
163 | 167.2 | 200.8 | 99.998664590 | 74883 |
162 | 166.1 | 199.2 | 99.998211284 | 55906 |
161 | 165.1 | 197.6 | 99.997614249 | 41916 |
160 | 164.0 | 196.0 | 99.996831397 | 31560 |
159 | 162.9 | 194.4 | 99.995809441 | 23863 |
158 | 161.9 | 192.8 | 99.994481264 | 18120 |
157 | 160.8 | 191.2 | 99.992762757 | 13817 |
156 | 159.7 | 189.6 | 99.990549055 | 10581 |
155 | 158.7 | 188.0 | 99.987710103 | 8137 |
154 | 157.6 | 186.4 | 99.984085429 | 6284 |
153 | 156.5 | 184.8 | 99.979478076 | 4873 |
152 | 155.5 | 183.2 | 99.973647581 | 3795 |
151 | 154.4 | 181.6 | 99.966301918 | 2968 |
150 | 153.3 | 180.0 | 99.957088347 | 2330 |
149 | 152.3 | 178.4 | 99.945583088 | 1838 |
148 | 151.2 | 176.8 | 99.931279792 | 1455 |
147 | 150.1 | 175.2 | 99.913576780 | 1157 |
146 | 149.1 | 173.6 | 99.891763076 | 924 |
145 | 148.0 | 172.0 | 99.865003278 | 741 |
144 | 146.9 | 170.4 | 99.832321371 | 596 |
143 | 145.9 | 168.8 | 99.792583648 | 482 |
142 | 144.8 | 167.2 | 99.744480936 | 391 |
141 | 143.7 | 165.6 | 99.686510429 | 319 |
140 | 142.7 | 164.0 | 99.616957487 | 261 |
139 | 141.6 | 162.4 | 99.533877822 | 215 |
138 | 140.5 | 160.8 | 99.435080596 | 177 |
137 | 139.5 | 159.2 | 99.318113022 | 147 |
136 | 138.4 | 157.6 | 99.180247113 | 122 |
135 | 137.3 | 156.0 | 99.018469315 | 102 |
134 | 136.3 | 154.4 | 98.829473782 | 85.4 |
133 | 135.2 | 152.8 | 98.609660109 | 71.9 |
132 | 134.1 | 151.2 | 98.355136322 | 60.8 |
131 | 133.1 | 149.6 | 98.061727929 | 51.6 |
130 | 132.0 | 148.0 | 97.724993796 | 44.0 |
129 | 130.9 | 146.4 | 97.340249507 | 37.6 |
128 | 129.9 | 144.8 | 96.902598793 | 32.3 |
127 | 128.8 | 143.2 | 96.406973449 | 27.8 |
126 | 127.7 | 141.6 | 95.848181971 | 24.1 |
125 | 126.7 | 140.0 | 95.220966959 | 20.9 |
124 | 125.6 | 138.4 | 94.520071055 | 18.2 |
123 | 124.5 | 136.8 | 93.740310935 | 16.0 |
122 | 123.5 | 135.2 | 92.876658598 | 14.0 |
121 | 122.4 | 133.6 | 91.924328874 | 12.4 |
120 | 121.3 | 132.0 | 90.878871803 | 11.0 |
119 | 120.3 | 130.4 | 89.736268244 | 9.7 |
118 | 119.2 | 128.8 | 88.493026828 | 8.69 |
117 | 118.1 | 127.2 | 87.146280129 | 7.78 |
116 | 117.1 | 125.6 | 85.693877763 | 6.99 |
115 | 116.0 | 124.0 | 84.134474024 | 6.30 |
114 | 114.9 | 122.4 | 82.467607585 | 5.70 |
113 | 113.9 | 120.8 | 80.693770846 | 5.18 |
112 | 112.8 | 119.2 | 78.814466606 | 4.72 |
111 | 111.7 | 117.6 | 76.832249920 | 4.32 |
110 | 110.7 | 116.0 | 74.750753266 | 3.96 |
109 | 109.6 | 114.4 | 72.574693506 | 3.65 |
108 | 108.5 | 112.8 | 70.309859498 | 3.37 |
107 | 107.5 | 111.2 | 67.963079707 | 3.12 |
106 | 106.4 | 109.6 | 65.542169659 | 2.90 |
105 | 105.3 | 108.0 | 63.055859579 | 2.71 |
104 | 104.3 | 106.4 | 60.513703143 | 2.53 |
103 | 103.2 | 104.8 | 57.925968717 | 2.38 |
102 | 102.1 | 103.2 | 55.303515008 | 2.24 |
101 | 101.1 | 101.6 | 52.657653447 | 2.11 |
100 | 100.0 | 100.0 | 50 | 2 |
99 | 98.9 | 98.4 | 47.342346553 | 1.899 |
98 | 97.9 | 96.8 | 44.696484992 | 1.808 |
97 | 96.8 | 95.2 | 42.074031283 | 1.726 |
96 | 95.7 | 93.6 | 39.486296857 | 1.653 |
95 | 94.7 | 92.0 | 36.944140421 | 1.586 |
94 | 93.6 | 90.4 | 34.457830341 | 1.526 |
93 | 92.5 | 88.8 | 32.036920293 | 1.471 |
92 | 91.5 | 87.2 | 29.690140502 | 1.422 |
91 | 90.4 | 85.6 | 27.425306494 | 1.378 |
90 | 89.3 | 84.0 | 25.249246734 | 1.338 |
89 | 88.3 | 82.4 | 23.167750080 | 1.302 |
88 | 87.2 | 80.8 | 21.185533394 | 1.269 |
87 | 86.1 | 79.2 | 19.306229154 | 1.239 |
86 | 85.1 | 77.6 | 17.532392415 | 1.213 |
85 | 84.0 | 76.0 | 15.865525976 | 1.189 |
84 | 82.9 | 74.4 | 14.306122237 | 1.167 |
83 | 81.9 | 72.8 | 12.853719871 | 1.147 |
82 | 80.8 | 71.2 | 11.506973172 | 1.130 |
81 | 79.7 | 69.6 | 10.263731756 | 1.114 |
80 | 78.7 | 68.0 | 9.121128197 | 1.100 |
79 | 77.6 | 66.4 | 8.075671126 | 1.088 |
78 | 76.5 | 64.8 | 7.123341402 | 1.077 |
77 | 75.5 | 63.2 | 6.259689065 | 1.067 |
76 | 74.4 | 61.6 | 5.479928945 | 1.058 |
75 | 73.3 | 60.0 | 4.779033041 | 1.050 |
74 | 72.3 | 58.4 | 4.151818029 | 1.043 |
73 | 71.2 | 56.8 | 3.593026551 | 1.0373 |
72 | 70.1 | 55.2 | 3.097401207 | 1.0320 |
71 | 69.1 | 53.6 | 2.659750493 | 1.0273 |
70 | 68.0 | 52.0 | 2.275006204 | 1.0233 |
69 | 66.9 | 50.4 | 1.938272071 | 1.0198 |
68 | 65.9 | 48.8 | 1.644863678 | 1.0167 |
67 | 64.8 | 47.2 | 1.390339891 | 1.0141 |
66 | 63.7 | 45.6 | 1.170526218 | 1.0118 |
65 | 62.7 | 44.0 | 0.981530685 | 1.0099 |
64 | 61.6 | 42.4 | 0.819752887 | 1.0083 |
63 | 60.5 | 40.8 | 0.681886978 | 1.0069 |
62 | 59.5 | 39.2 | 0.564919404 | 1.0057 |
61 | 58.4 | 37.6 | 0.466122178 | 1.0047 |
60 | 57.3 | 36.0 | 0.383042513 | 1.0038 |
59 | 56.3 | 34.4 | 0.313489571 | 1.0031 |
58 | 55.2 | 32.8 | 0.255519064 | 1.0026 |
57 | 54.1 | 31.2 | 0.207416352 | 1.0021 |
56 | 53.1 | 29.6 | 0.167678629 | 1.0017 |
55 | 52.0 | 28.0 | 0.134996722 | 1.0014 |
54 | 50.9 | 26.4 | 0.108236924 | 1.0011 |
53 | 49.9 | 24.8 | 0.086423220 | 1.00086 |
52 | 48.8 | 23.2 | 0.068720208 | 1.00069 |
51 | 47.7 | 21.6 | 0.054416912 | 1.00054 |
50 | 46.7 | 20.0 | 0.042911653 | 1.00043 |
49 | 45.6 | 18.4 | 0.033698082 | 1.00034 |
48 | 44.5 | 16.8 | 0.026352419 | 1.00026 |
47 | 43.5 | 15.2 | 0.020521924 | 1.00021 |
46 | 42.4 | 13.6 | 0.015914571 | 1.00016 |
45 | 41.3 | 12.0 | 0.012289897 | 1.00012 |
44 | 40.3 | 10.4 | 0.009450945 | 1.00009451838 |
43 | 39.2 | 8.8 | 0.007237243 | 1.00007237767 |
42 | 38.1 | 7.2 | 0.005518736 | 1.00005519040 |
41 | 37.1 | 5.6 | 0.004190559 | 1.00004190735 |
40 | 36.0 | 4.0 | 0.003168603 | 1.00003168704 |
39 | 34.9 | 2.4 | 0.002385751 | 1.00002385808 |
38 | 33.9 | 0.8 | 0.001788716 | 1.00001788748 |
37 | 32.8 | NA | 0.001335410 | 1.00001335428 |
36 | 31.7 | NA | 0.000992756 | 1.00000992766 |
35 | 30.7 | NA | 0.000734892 | 1.00000734897 |
34 | 29.6 | NA | 0.000541695 | 1.00000541698 |
33 | 28.5 | NA | 0.000397590 | 1.00000397592 |
32 | 27.5 | NA | 0.000290579 | 1.00000290580 |
31 | 26.4 | NA | 0.000211464 | 1.00000211465 |
30 | 25.3 | NA | 0.000153234 | 1.00000153234 |
29 | 24.3 | NA | 0.000110564 | 1.00000110564 |
28 | 23.2 | NA | 0.000079435 | 1.00000079435 |
27 | 22.1 | NA | 0.000056827 | 1.00000056827 |
26 | 21.1 | NA | 0.000040479 | 1.00000040479 |
25 | 20.0 | NA | 0.000028710 | 1.00000028711 |
24 | 18.9 | NA | 0.000020276 | 1.00000020276 |
23 | 17.9 | NA | 0.000014258 | 1.00000014258 |
22 | 16.8 | NA | 0.000009983 | 1.00000009983 |
21 | 15.7 | NA | 0.000006960 | 1.00000006960 |
20 | 14.7 | NA | 0.000004832 | 1.00000004832 |
19 | 13.6 | NA | 0.000003340 | 1.00000003340 |
18 | 12.5 | NA | 0.000002298 | 1.00000002298 |
17 | 11.5 | NA | 0.000001575 | 1.00000001575 |
16 | 10.4 | NA | 0.000001075 | 1.00000001075 |
15 | 9.3 | NA | 0.000000730 | 1.00000000730 |
14 | 8.3 | NA | 0.000000494 | 1.00000000494 |
13 | 7.2 | NA | 0.000000333 | 1.00000000333 |
12 | 6.1 | NA | 0.000000223 | 1.00000000223 |
11 | 5.1 | NA | 0.000000149 | 1.00000000149 |
10 | 4.0 | NA | 0.000000099 | 1.00000000099 |
9 | 2.9 | NA | 0.000000066 | 1.00000000066 |
8 | 1.9 | NA | 0.000000043 | 1.00000000043 |
7 | 0.8 | NA | 0.000000028 | 1.00000000028 |
6 | NA | NA | 0.000000019 | 1.00000000019 |
5 | NA | NA | 0.000000012 | 1.00000000012 |
4 | NA | NA | 0.000000008 | 1.000000000078 |
3 | NA | NA | 0.000000005 | 1.000000000050 |
2 | NA | NA | 0.000000003 | 1.000000000032 |
1 | NA | NA | 0.000000002 | 1.000000000021 |