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IQ to Percentile Conversion
IQ tests are designed and updated on a regular basis such that they correspond to the populations they measure in a precise way: a score of 100 is the average score of the population and the distribution of IQ scores has a normal shape with a standard deviation of 15. Therefore, the IQ score is convenient to interpret and work with if you are a statistician, but if you are not into statistics the number itself will likely mean little to you. This is where our IQ percentile calculator can assist you in computing both the percentile of the population you are in and, correspondingly, the rarity of your score.
The Basics of IQ Score Interpretation
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 Percentage and Rarity Chart
| 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 |
| IQ SD15 | IQ SD16 | IQ SD24 | Percentile | Rarity 1/X |
Emma Watson
132 IQ
Scarlett Johansson
117 IQ
Nikola Tesla
189 IQ
Matt Damon
143 IQ
Carl Sagan
173 IQ
Will Smith
157 IQ
Marilyn vos Savant
186 IQ
Bill Gates
160 IQ
J. Robert Oppenheimer
135 IQ
Beyoncé
134 IQ
Arnold Schwarzenegger
135 IQ
Barron Trump
138 IQ
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