(An expanded
discussion of IQ may be found here.)
What Is "IQ" ?
"IQ" stands for
" Intelligence
Quotient" .
Calculating
IQs:
The IQ is equal to 100 times the Mental Age (MA) divided by the Chronological Age (CA).
IQ = 100 X Mental Age/Age in Years
The mental-age concept was invented to aid
in the grade placement of children.
more...
Measuring IQs
IQs are measured with IQ tests. There are a
number of IQ tests available.
Types of IQ Tests:
1. Untimed,
individually administered tests
(a) Stanford Binet
The Stanford-Binet IQ test was the first US-developed IQ test,
and was introduced by Dr. Lewis M. Terman in 1916. By now, there
have been six editions of the Stanford-Binet.
Ratio IQs versus Deviation (Percentile) "IQs"
The 1916, 1937, 1960, and 1972 editions of the Stanford-Binet utilized the concept of mental age, while the fifth edition (fourth revision) employs percentile rankings. These percentile rankings are then converted to an equivalent IQ score, called a "deviation IQ", by converting percentiles to IQs using a Gaussian distribution.
Examples of questions similar to those on the Stanford-Binet IQ test.
(b) Wechsler Tests
The
Wechsler tests are considered today to be the standard by which
other IQ tests are judged.
There
has been a series of Wechsler Adult Intelligence Scales, beginning
with the
The Wechsler tests consist of 10 or 11 (at the discretion of the
test administrator) subtests, each of which has a ceiling that
is 2.75 standard deviations above the mean. (The most recent edition
of the Wechsler Adult Intelligence Scale, the WAIS-III, utilizes
13/14 subtests. Six of these tests are "verbal", meaning
that these questions and their answers are transmitted verbally.
The six verbal subtests are:
The other five tests (eight
subtests on the WAIS-III) are "performance" (non-verbal)
subtests in which the test-taker has to perform certain tasks
as fast as possible.
The five performance subtests are:
and the three additional subtests that have been added to the WAIS-III are,
The Wechsler tests measure
deviation IQs, with a standard deviation of 15 points
of IQ. The Wechsler tests attempt to compensate for age-related cognitive
decline by
Measuring 11 different facets of intelligence as
they do, the Wechsler IQ tests are influenced by breadth
of capability in various cognitive areas, as opposed to depth.
They were designed as clinical evaluation instruments, and can
detect various kinds of neurological problems. Dr. Wechsler
warned that his tests should not be used above an IQ of 130, but
they are commonly used to measure IQs considerably higher than
that. One word of caution about IQ tests: they are subject
to "ceiling effects" as an examinee approaches the ceilings
of a test. For example, with the Wechsler tests, someone might
make a perfect or almost-perfect score on several of the verbal
subtests, but fail to make a perfect score on several others.
Consequently, the individual in question wouldn't have bee adequately
tested on those subtests for which she "hit the ceiling".
As mentioned above, Wechsler-derived IQs are adjusted
for age to offset the cognitive decline that attends aging. The
graph below shows how Wechsler IQs vary with age:

Slossen Tests
The Slossen tests are similar to the Stanford-Binet
and correlate closely with them. The Slossen tests have a ceiling
of 27 years of mental age.
Untimed tests are often called "power"
tests. Other tests are timed, proctored group tests, such as the
Raven Advanced Progressive Matrices, the California Test of Mental
Maturity (CTMM) and the Cattell Culture-Fair Test, which are easier
to administer but are narrower in scope. (Included in this group
would be the Scholastic Aptitude Test, the Graduate Record Exam,
and the Miller Analogies.) Still a third class of test is the
unproctored power test, such as the Mega Test, the Titan Test,
and the Test for Genius. These are untimed tests in which the
test-taker lays protracted siege to difficult problems that emulate
the kinds of problems encountered in actual research. These tests
are not universally recognized as true IQ tests because it is
felt that they are susceptible to cheating, and that their scores
depend upon collateral factors such as persistence and library
skills as well as sheer intelligence.
IQ's were originally measured using the MA/CA
concept: IQ = MA/CA. If you were 10 years old and earned Mental
Age scores on IQ tests equal to those of 16-year-olds, your IQ
would be 16/10 X100, or 160. This seemed to work well enough for
children, but it encountered
IQ tests have been under attack since their
inception. It is, perhaps, counter-intuitive and unpopular that
a test requiring an hour or two can establish the upper bounds
of one's intellect for a lifetime. However, although they're not
infallible, for adults, they do a remarkably good job of generating
a score that will remain more or less constant throughout life.
Can Intelligence
Be Measured With a Single Number?
Yes and no. One of the most serious criticisms
of using a single number to assess intelligence is that people
may be stronger in certain areas such as verbal skills, logical
aptitude or spatial visualization than in others. Drs. Richard
Feynman and Albert Einstein would be examples of geniuses who
were reputed to be extremely strong mathematically while being
relatively weak verbally. More commonly, though, purely intellectual
abilities tend to be uniformly high or uniformly low in a given
individual, consistent with the concept of an underlying "g"
or "general intelligence" that powers all the specialized
intellectual aptitudes. In addition, there are several sub-factors
such as verbal, spatial, Still, this doesn't happen with everyone,
and the exceptions, like Richard Feynman and Albert Einstein,
are very important. Tests like the Wechsler Adult Intelligence
Scale (WAIS) consist of a number of subtests that are scored separately
and can measure the profile for an individual. (Dr. Howard Gardner
has defined seven types of intelligence, while Dr. Robert Sternberg
has identified three.)
It's also easier to make an IQ score that's
lower than your true IQ than it is to make a score that's higher.
Taking a test on a bad day, or spending too much time on a few
difficult items could artificially lower one's score. The best
results are obtained when more than one test is administered.
What Does Adult
IQ Mean?
Generally, one's mental age stops rising rapidly
when one reaches the latter teens--e. g., 16. Consequently, on
some IQ tests, "16" was taken as the chronological-age
divisor in an IQ calculation for adults. The Wechsler Adult Intelligence
Scale is calibrated for all ages up to 70, with chronological-age
divisors appropriate to every age 70 or below.
The average IQ is, by definition, 100. To get
an idea what this means, someone with an IQ of 80 or below is
considered to be marginally able to cope with the adult world.
People with IQ's of 80 or below typically work as unskilled laborers
such as lawn maintenance and trash pickup. They generally need
help from friends or family to manage life's complications. About
10% of the population has an IQ of 80 or below.
People with IQ's of 80-90 are a little on the
slow side but may be found in fast-food restaurants, day-care
centers, etc. They may also be found in unskilled jobs. About
16% of the population has IQ's in this range.
People with IQ's of 90-110 generally occupy
semi-skilled positions, including typists, receptionists, assembly
line workers, and checkout clerks. They are able to keep up with
the world, and comprise about 46% of the public.
People with IQ's in the 110 to 120 range fill
the skilled trades and include some tool and die makers, teachers,
and Ph. D.'s among their ranks. They also make up 16% of the population.
People with IQ's of 120 and above tend to staff
the professions as doctors, dentists, lawyers, teachers, and college
professors. They fall in the upper 10% of the population.
Ratio IQ's
Versus Deviation-IQ's
Before going any higher in the IQ scale, it's
necessary to talk about ratio-IQ's versus deviation-IQ's. As mentioned
above, IQ's were defined as the ratio of Mental Age to chronological
age.
The average IQ of all
college professors is 130, which lies within the upper 3% of the
general public.