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IQ Percentile and Rarity Chart

These are IQs, their percentiles, and rarity on a 15 SD (e.g. Wechsler) and 16 SD (e.g. Stanford-Binet) scale.  They were calculated using the NORMDIST function in Excel.  The number of decimal places for the rarity was varied in the hope it might be useful.  You can see why presently nobody should be able to get a deviation IQ higher than 195 (or 201 on the 16 SD scale).  There are not enough people in the world to 'beat'. Note that rarities given are of people that have a certain IQ or higher. Some people might find it more useful to know the rarity of people that have a certain IQ or lower. In that case use this example as a guide: If you want to know how many people have IQs of 84 or lower, look at the rarity of people that have an IQ of 116 or higher.  (100 - 84 = 16.  100 + 16 = 116).

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

202
99.9999999995%

190,057,377,928

99.9999999908%

10,881,440,294

201
99.9999999992%

119,937,672,336

99.9999999862%

7,252,401,045

200
99.9999999987%

76,017,176,740

99.9999999794%

4,852,159,346

199
99.9999999979%

48,390,420,202

99.9999999693%

3,258,706,819

198
99.9999999968%

30,938,221,975

99.9999999545%

2,196,908,409

197
99.9999999950%

19,866,426,228

99.9999999327%

1,486,736,899

196
99.9999999922%

12,812,462,045

99.9999999010%

1,009,976,678

195
99.9999999880%

8,299,126,114

99.9999998548%

688,720,101

194
99.9999999815%

5,399,067,340

99.9999997879%

471,441,334

193
99.9999999717%

3,527,693,270

99.9999996913%

323,940,499

192
99.9999999568%

2,314,980,850

99.9999995524%

223,436,817

191
99.9999999345%

1,525,765,721

99.9999993536%

154,701,783

190
99.9999999010%

1,009,976,678

99.9999990699%

107,519,234

189
99.9999998511%

671,455,130

99.9999986669%

75,011,253

188
99.9999997770%

448,336,263

99.9999980964%

52,530,944

187
99.9999996674%

300,656,786

99.9999972920%

36,927,646

186
99.9999995062%

202,496,482

99.9999961624%

26,057,620

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

185
99.9999992699%

136,975,305

99.9999945820%

18,457,107

184
99.9999989254%

93,056,001

99.9999923799%

13,123,126

183
99.9999984250%

63,492,548

99.9999893231%

9,366,012

182
99.9999977016%

43,508,721

99.9999850966%

6,709,882

181
99.9999966604%

29,943,596

99.9999792755%

4,825,216

180
99.9999951684%

20,696,863

99.9999712895%

3,483,046

179
99.9999930398%

14,367,357

99.9999603760%

2,523,720

178
99.9999900166%

10,016,587

99.9999455198%

1,835,530

177
99.9999857417%

7,013,455

99.9999253755%

1,340,043

176
99.9999797237%

4,931,877

99.9998981672%

982,001

175
99.9999712895%

3,483,046

99.9998615605%

722,337

174
99.9999595211%

2,470,424

99.9998125011%

533,337

173
99.9999431733%

1,759,737

99.9997470088%

395,271

172
99.9999205647%

1,258,887

99.9996599197%

294,048

171
99.9998894360%

904,454

99.9995445629%

219,569

170
99.9998467663%

652,598

99.9993923584%

164,571

169
99.9997885357%

472,893

99.9991923180%

123,811

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

168
99.9997094213%

344,141

99.9989304314%

93,496

167
99.9996024097%

251,515

99.9985889129%

70,867

166
99.9994583047%

184,606

99.9981452833%

53,917

165
99.9992651083%

136,074

99.9975712563%

41,174

164
99.9990072440%

100,730

99.9968313965%

31,560

163
99.9986645903%

74,883

99.9958815099%

24,281

162
99.9982112841%

55,906

99.9946667250%

18,750

161
99.9976142490%

41,916

99.9931192192%

14,533

160
99.9968313965%

31,560

99.9911555410%

11,307

159
99.9958094411%

23,863

99.9886734737%

8,829

158
99.9944812644%

18,120

99.9855483883%

6,920

157
99.9927627566%

13,817

99.9816290270%

5,443

156
99.9905490555%

10,581

99.9767326626%

4,298

155
99.9877101029%

8,137

99.9706395788%

3,406

154
99.9840854286%

6,284

99.9630868216%

2,709

153
99.9794780761%

4,873

99.9537611786%

2,163

152
99.9736475807%

3,795

99.9422913506%

1,733

151
99.9663019177%

2,968

99.9282392963%

1,394

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

150
99.9570883466%

2,330

99.9110907427%

1,125

149
99.9455830880%

1,838

99.8902448799%

911

148
99.9312797919%

1,455

99.8650032777%

741

147
99.9135767802%

1,157

99.8345580959%

604

146
99.8917630764%

924

99.7979796890%

495

145
99.8650032777%

741

99.7542037453%

407

144
99.8323213712%

596

99.7020181412%

336

143
99.7925836483%

482

99.6400497338%

278

142
99.7444809358%

391

99.5667513617%

231

141
99.6865104294%

319

99.4803893690%

192

140
99.6169574875%

261

99.3790320141%

161

139
99.5338778217%

215

99.2605391688%

135

138
99.4350805958%

177

99.1225537500%

114

137
99.3181130218%

147

98.9624953632%

96

136
99.1802471131%

122

98.7775566587%

82

135
99.0184693146%

102

98.5647029151%

70

134
98.8294737819%

85

98.3206753694%

60

133
98.6096601092%

72

98.0419987942%

51

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

132
98.3551363216%

61

97.7249937964%

44

131
98.0617279292%

52

97.3657942589%

38

130
97.7249937964%

44

96.9603702812%

33

129
97.3402495072%

38

96.5045568849%

29

128
96.9025987934%

32

95.9940886433%

25

127
96.4069734486%

28

95.4246402670%

22

126
95.8481819706%

24

94.7918730337%

19

125
95.2209669590%

21

94.0914867949%

17

124
94.5200710546%

18

93.3192771207%

15

123
93.7403109348%

16

92.4711969715%

13

122
92.8766585983%

14

91.5434221090%

12

121
91.9243288744%

12

90.5324192858%

11

120
90.8788718026%

11

89.4350160914%

9

119
89.7362682436%

10

88.2484711894%

9

118
88.4930268282%

9

86.9705435536%

8

117
87.1462801289%

8

85.5995592220%

7

116
85.6938777630%

7

84.1344740241%

6

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

115
84.1344740241%

6.30297414356

82.5749307167%

5.7388581000

114
82.4676075848%

5.70372814115

80.9213089868%

5.2414497373

113
80.6937708458%

5.17967538878

79.1747668425%

4.8018670064

112
78.8144666062%

4.72020213705

77.3372720270%

4.4125314534

111
76.8322499196%

4.31634490415

75.4116222443%

4.0669620824

110
74.7507532660%

3.96051419092

73.4014531849%

3.7596038872

109
72.5746935061%

3.64626736341

71.3112335745%

3.4856849025

108
70.3098594977%

3.36812148102

69.1462467364%

3.2410967685

107
67.9630797074%

3.12139865776

66.9125584538%

3.0222947235

106
65.5421696587%

2.90209798497

64.6169712244%

2.8262136810

105
63.0558595794%

2.70678919205

62.2669653200%

2.6501976543

104
60.5137031432%

2.53252414027

59.8706273779%

2.4919402788

103
57.9259687167%

2.37676298063

57.4365675495%

2.3494345790

102
55.3035150084%

2.23731239758

54.9738265155%

2.2209304558

101
52.6576534466%

2.11227383685

52.4917739192%

2.1048986302

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

100
49.9999999782%

1.99999999913

49.9999999782%

1.9999999991

99
47.3423465534%

1.89905917668

47.5082260808%

1.9050604034

98
44.6964849916%

1.80820333002

45.0261734845%

1.8190474693

97
42.0740312833%

1.72634143572

42.5634324505%

1.7410511155

96
39.4862968568%

1.65251826951

40.1293726221%

1.6702681161

95
36.9441404206%

1.58589543727

37.7330346800%

1.6059880144

94
34.4578303413%

1.52573527121

35.3830287756%

1.5475810473

93
32.0369202926%

1.47138711828

33.0874415462%

1.4944877660

92
29.6901405023%

1.42227563409

30.8537532636%

1.4462100941

91
27.4253064939%

1.37789076562

28.6887664255%

1.4023036061

90
25.2492467340%

1.33777916116

26.5985468151%

1.3623708477

89
23.1677500804%

1.30153679093

24.5883777557%

1.3260555472

88
21.1855333938%

1.26880259813

22.6627279730%

1.2930375921

87
19.3062291542%

1.23925302972

20.8252331575%

1.2630286642

86
17.5323924152%

1.21259732068

19.0786910132%

1.2357684429

85
15.8655259759%

1.18857342558

17.4250692833%

1.2110213007

84
14.3061222370%

1.16694450771

15.8655259759%

1.1885734256

83
12.8537198711%

1.14749590978

14.4004407780%

1.1682303146

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

82
11.5069731718%

1.13003254137

13.0294564464%

1.1498145914

81
10.2637317564%

1.11437662784

11.7515288106%

1.1331641064

80
9.1211281974%

1.10036577278

10.5649839086%

1.1181302847

79
8.0756711256%

1.08785129274

9.4675807142%

1.1045766896

78
7.1233414017%

1.07669678808

8.4565778910%

1.0923777776

77
6.2596890652%

1.06677691809

7.5288030285%

1.0814178174

76
5.4799289454%

1.05797635237

6.6807228793%

1.0715899553

75
4.7790330410%

1.05018887325

5.9085132051%

1.0627954070

74
4.1518180294%

1.04331660699

5.2081269663%

1.0549427583

73
3.5930265514%

1.03726936365

4.5753597330%

1.0479473616

72
3.0974012066%

1.03196406748

4.0059113567%

1.0417308129

71
2.6597504928%

1.02732426212

3.4954431151%

1.0362204981

70
2.2750062036%

1.02327967611

3.0396297188%

1.0313491967

69
1.9382720708%

1.01976583639

2.6342057411%

1.0270547348

68
1.6448636784%

1.01672371917

2.2750062036%

1.0232796761

67
1.3903398908%

1.01409942889

1.9580012058%

1.0199710454

66
1.1705262181%

1.01184389811

1.6793246306%

1.0170800762

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

65
0.9815306854%

1.00991260208

1.4352970849%

1.0145619785

64
0.8197528869%

1.00826528377

1.2224433413%

1.0123757196

63
0.6818869782%

1.006865686

1.0375046368%

1.0104838164

62
0.5649194042%

1.00568128874

0.8774462500%

1.0088521352

61
0.4661221783%

1.00468305052

0.7394608312%

1.0074496959

60
0.3830425125%

1.0038451537

0.6209679859%

1.0062484809

59
0.3134895706%

1.00314475418

0.5196106310%

1.0052232469

58
0.2555190642%

1.00256173637

0.4332486383%

1.0043513385

57
0.2074163517%

1.00207847461

0.3599502662%

1.0036125059

56
0.1676786288%

1.00167960262

0.2979818588%

1.0029887244

55
0.1349967223%

1.0013517921

0.2457962547%

1.0024640190

54
0.1082369236%

1.00108354203

0.2020203110%

1.0020242926

53
0.0864232198%

1.00086497974

0.1654419041%

1.0016571607

52
0.0687202081%

1.00068767465

0.1349967223%

1.0013517921

51
0.0544169120%

1.0005444654

0.1097551201%

1.0010987571

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

50
0.0429116534%

1.00042930075

0.0889092573%

1.0008898838

49
0.0336980823%

1.00033709442

0.0717607037%

1.0007181224

48
0.0263524193%

1.00026359366

0.0577086494%

1.0005774197

47
0.0205219239%

1.00020526136

0.0462388214%

1.0004626021

46
0.0159145714%

1.00015917105

0.0369131784%

1.0003692681

45
0.0122898971%

1.00012291408

0.0293604212%

1.0002936904

44
0.0094509445%

1.00009451838

0.0232673374%

1.0002327275

43
0.0072372434%

1.00007237767

0.0183709730%

1.0001837435

42
0.0055187356%

1.0000551904

0.0144516117%

1.0001445370

41
0.0041905589%

1.00004190735

0.0113265263%

1.0001132781

40
0.0031686035%

1.00003168704

0.0088444590%

1.0000884524

39
0.0023857510%

1.00002385808

0.0068807808%

1.0000688125

38
0.0017887159%

1.00001788748

0.0053332750%

1.0000533356

37
0.0013354097%

1.00001335428

0.0041184901%

1.0000411866

36
0.0009927560%

1.00000992766

0.0031686035%

1.0000316870

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

35
0.0007348917%

1.00000734897

0.0024287437%

1.0000242880

34
0.0005416953%

1.00000541698

0.0018547167%

1.0000185475

33
0.0003975903%

1.00000397592

0.0014110871%

1.0000141111

32
0.0002905787%

1.0000029058

0.0010695686%

1.0000106958

31
0.0002114643%

1.00000211465

0.0008076820%

1.0000080769

30
0.0001532337%

1.00000153234

0.0006076416%

1.0000060765

29
0.0001105640%

1.00000110564

0.0004554371%

1.0000045544

28
0.0000794353%

1.00000079435

0.0003400803%

1.0000034008

27
0.0000568267%

1.00000056827

0.0002529912%

1.0000025299

26
0.0000404789%

1.00000040479

0.0001874989%

1.0000018750

25
0.0000287105%

1.00000028711

0.0001384395%

1.0000013844

24
0.0000202763%

1.00000020276

0.0001018328%

1.0000010183

23
0.0000142583%

1.00000014258

0.0000746245%

1.0000007462

22
0.0000099834%

1.00000009983

0.0000544802%

1.0000005448

21
0.0000069602%

1.0000000696

0.0000396240%

1.0000003962

20
0.0000048317%

1.00000004832

0.0000287105%

1.0000002871

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

19
0.0000033396%

1.0000000334

0.0000207245%

1.0000002072

18
0.0000022984%

1.00000002298

0.0000149034%

1.0000001490

17
0.0000015750%

1.00000001575

0.0000106769%

1.0000001068

16
0.0000010746%

1.00000001075

0.0000076201%

1.0000000762

15
0.0000007301%

1.0000000073

0.0000054180%

1.0000000542

14
0.0000004938%

1.00000000494

0.0000038376%

1.0000000384

13
0.0000003326%

1.00000000333

0.0000027080%

1.0000000271

12
0.0000002230%

1.00000000223

0.0000019036%

1.0000000190

11
0.0000001489%

1.00000000149

0.0000013331%

1.0000000133

10
0.0000000990%

1.00000000099

0.0000009301%

1.0000000093

9
0.0000000655%

1.00000000066

0.0000006464%

1.0000000065

8
0.0000000432%

1.00000000043

0.0000004476%

1.0000000045

7
0.0000000283%

1.00000000028

0.0000003087%

1.0000000031

6
0.0000000185%

1.00000000019

0.0000002121%

1.0000000021

IQ
15 SD Percentile

Rarity: 1/X

16 SD Percentile

Rarity: 1/X

5
0.0000000120%

1.00000000012

0.0000001452%

1.0000000015

4
0.0000000078%

1.00000000008

0.0000000990%

1.0000000010

3
0.0000000050%

1.00000000005

0.0000000673%

1.0000000007

2
0.0000000032%

1.00000000003

0.0000000455%

1.0000000005

1
0.0000000021%

1.00000000002

0.0000000307%

1.0000000003


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