Something fun to do in your free time if you ever feel like finding out, if you take this test, be sure to post your results down below
In 1911, the concept of "mental age" (as distinguished from "chronological age")
was introduced. The 6-year-old who performed as well as the average 8-year-old was assigned a mental age of 8, while the 6-year-old who performed only as well as a 4-year-old was assigned a mental age of 4.
It was also observed that the gaps between children's mental ages and their chronological ages widened as the children got older. The 6-year-old with the mental age of 8 had a mental age of 12 by the time he was 9 and a mental age of 16 by the time he was12. Similarly, the 6-year-old with a mental age of 4 had a mental age of 6 when he was 9 and a mental age of 8 when he was 12. In 1912, the German psychologist, William Stern, noticed that even though the gap between mental age and chronological age widens as a child matures, the ratio of mental age to chronological age remains constant (and, as we will see, remains essentially constant throughout life). This constant ratio of mental age divided by chronological age was given the name "Intelligence Quotient". Actually, the intelligence quotient is defined as 100 times the Mental Age (MA) divided by the Chronological Age (CA).
IQ = 100 MA/CA.
In other words, IQ is a ratio.
IQ in the General Population
A plot of the frequencies of occurrence of various IQ's in the general population form a bell-shaped curve (Figure 1, below). As the curve in Figure 1 suggests, most people have IQ's that are fairly close to the average IQ of 100.
As Figure 1 shows, about 68% of all IQ's lie within 15 IQ points on either side of the average IQ of 100. This means that 32% of the public have IQ's outside the range 85 to 115. About 16%, or about 1 in 6, possess IQ's above 115, and about 16%, or about one in six have IQ's below 85.
The distribution curve for intelligence is a bell-shaped curve but it is not a Gaussian distribution.
The lower half of the IQ curve doesn't closely fit any distribution known to me. Presumably, this is because natural genetic endowments are are mixed with special conditions such as Down's Syndrome and phenylketonuria, and with environmental insults, so that the influences shaping the lower half of the curve are more complex than those influencing the upper half of the IQ distribution.
For the upper half of the curve, the natural logarithms (ln) of the ratios of mental ages to chronological ages form a Gaussian distribution. Close to the average IQ of 100, the differences are minor between the IQ bell-shaped curve and the (Gaussian) bell curve for the natural logarithms of IQs, but they become quite substantial on the wings of this curves. For example, the predicted frequency of occurrence for someone with an IQ at or equal to 200 is about 1 in 78,000,000,000. The observed frequency of occurrence is about 1 in 500,000, or about 39,000 times greater than a Gaussian distribution would predict.
One Standard Deviation Above the Average (IQ = 116)
Approximately 84% of the public has an IQ of 115 or below. Only 16% of the population, or about 1 in every 6 has an IQ of 116 or above.
Two Standard Deviations Above the Average (IQ = 135)
Approximately 98% of the public has an IQ of 134 or below. Only 2% of the population, or about 1 in every 50 (the entry level for Mensa), has an IQ of 135 or above.
Three Standard Deviations Above the Average (IQ = 157)
Approximately 99.87% of the public, has an IQ of 156 or below. Only about 0.13% or about 1 in 750, own IQ's at, or above 157. (There would be about 360,000 such individuals in the United States, or about 400,000 in the United States and Canada.)
Four Standard Deviations Above the Average (IQ = 182)
Approximately 99.997% of our population has an IQ of 181 or below. Only 0.003% or about 1 in 30,000 possesses an IQ of 182 or above. (There would be about 9,000 such individuals in the United States, or about 10,000 in the United States and Canada.)
Five Standard Deviations Above the Average (IQ = 212)
Approximately 99.9997% of our population has an IQ of 211 or below. Only 0.0000287% or about 1 in 3,500,000 can boast an IQ of 212 or above. (There would be about 77 such individuals in the United States, or about 15 in the United States and Canada.)
Six Standard Deviations Above the Average (IQ = 246)
Approximately 99.99999990% of the world's population lies below an IQ of 246. Only about 1 in 1,000,000,000 , or about six people on Earth can claim an IQ this high. (We might expect to find 1 such person in Europe, North America, and Australia, New Zealand, and South Africa, with the rest residing in the rest of the world.)
30 to 49
50 to 59
60 to 73
74 to 88
89 to 100
100 to 111
112 to 120
121 to 125
126 to 131
132 to 137
138 to 150
151 to 160
160 to 176
177 to 200
1st-Grade to 3rd-Grade
3rd-Grade to 6th-grade
6th-Grade to 8th-Grade
Assembler, food service, nurse's aide
Clerk, teller, Walmart
Police officer, machinist, sales
Manager, teacher, accountant
Manager, professor, accountant
Attorney, editor, executive.
College professor, editor
Leading math, physics professor
Lincoln, Copernicus, Jefferson
Descartes, Einstein, Spinoza
Shakespeare, Goethe, Newton
Dear God, Dear God, Tinkle Tinkle Hoy
My IQ is 132
Dear God, Dear God, Tinkle Tinkle Hoy