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Graph showing exponential growth of populations24681010002000300040005000tPExponential growth of a population, `P(t)=100e^(0.4t)`. However, populations do not continue to grow forever, because food, water and other resources get used up over time.
The logistic equation (developed in the mid-19th century) allows for a growth term AND an inhibition term. Graph showing S-shaped logistic curve of population growth10203040501000020000300004000050000tPS-shaped logistic growth of a population at time `t`. So we conclude that half of the population will be infected after about 27 weeks (marked on the graph above).
There is a strong bias towards men acquiring AIDS, with around 95% of the cases being male. The growth of population is measured as increase in its size over a period of time and populations show characteristic patterns of growth with time.
In J-shaped population growth form, the population grows exponentially and after attaining the peak value, the population will crash abruptly. In S - shaped or sigmoid growth the population show an initial gradual increase in population size, followed by an exponential increase and then a gradual decline to near constant level. Since the average IQ is said to be 100, hence anything above 100 is considered as above average and below 100 as below average. Hence, the normal or average IQ score is 100, which means that the mental and chronological ages coincide.
It is true that modern intelligence tests now apply statistical methods to produce a score reflecting one's performance compared to the average performance of his peers. When we plot a sample of the population's IQ scores on an IQ against percentage chart, it is observed that the population distribution on the IQ scale forms a symmetrical bell-shaped curve. From this chart, it can be thus concluded that a normal IQ score is generally considered to be around the 100 mark. Since the first IQ test was developed by Alfred Binet and Theophile Simon and their IQ was classified on Simon-Binet scale which was later revised by Lewis Terman into Stanford-Binet scale, this is the most popularly used scale till date and all other modern scales also revolves around it.


Besides, these two scales which use a standard deviation of 15, another scale in popular use is the Cattell's scale which uses a standard deviation of 24. Simply speaking, IQ (intelligence quotient) is an assessment of your ability to think and reason.
Intelligence testing of very young children can sometimes be problematic because young people develop so rapidly.
However, there are many benefits for psychological assessment and often the more information and the early the information is gathered, the more tailored the intervention programs can be. Assessment is a way of gaining some understanding of a child in order to make informed and appropriate decisions.
To assess for learning disorders (such as reading, mathematics or writing disorders, including dyslexia). To assess gifted children in order to provide appropriate and stimulating learning environments. To identify developmental delays and provide appropriate interventions for psycho educational disorders or problems as early in a child’s life as possible. Test Reliability refers to the degree to which a test is consistent and stable in measuring what it is intended to measure.
Test validity refers to the degree to which the test actually measures what it claims to measure. The Wechsler tests are the most common individually administered IQ or intelligence tests, especially for children. When reviewing a child’s scores, remember that no test is perfectly accurate.  Any child might score slightly higher or lower if tested again on a different day.
The orange section is where most children will score on each subtest (this is the average range).
The growth of AIDS is an example that follows the curve of the logistic equation, derived from solving a differential equation.
Differential equations are used to predict populations of people, animals, bacteria and viruses that are being affected by external events.


The virus was brought to the town by 100 people and it was found that 1000 people were infected after 10 weeks.
The decrease in growth from the late 1990s is largely due to suppressant drugs and education. Hence two people have an IQ of 120 on different scales might not necessarily have the same intelligence level. A person scoring zero would be literally brain dead, while a score of 200 would mean that the person is probably the smartest person alive on the earth.
However, if you want a fuller definition, you have to try and understand the concept of IQ first with utmost patience as it is not a straightforward one. Jaeggi and Martin Buschkuehl has revealed that at least one aspect of the IQ - a person's fluid intelligence, which was usually considered to be fixed at birth, can actually be improved. The Wechsler tests (which include both the WISC-IV and the WPPSI-III have strong reliability and validity). These tests are expensive to purchase and requires a fully qualified psychologist to conduct the assessment.
Gifted children fall within the yellow right hand section and those with disabilities will fall within the yellow left hand section of the graph.
It reveals that on an IQ scale of 60 to 100, the number of people with those IQ scores increases and maximum people touch the 100 mark. These are common questions, particularly after someone finds out their score from an IQ test. Then, as the IQ scale increases from 100, the percentage of people with those scores starts decreasing in proportion to the start of the curve.



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