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IQ Example Problem:

If a child who is 10 years old takes the test and scores a mental age of 15, what would be the IQ?

Answer :

Final answer:

To find IQ, we divide the mental age by the physical age and multiply the result by 100. So for a child who is 10 but has a mental age of 15, the IQ would be calculated as (15/10) * 100 = 150. However, modern definitions of IQ use statistical measures based on rankings within age groupings, rather than direct age ratios.

Explanation:

The intelligence quotient or IQ is a numerical measure of a person's mental agility or intelligence. It is calculated using the formula:IQ = (Mental Age/Physical Age) * 100. In the given problem, a child who is physically 10 years old has a mental age of 15. Therefore, his IQ would be calculated as follows: (15/10) * 100 = 150.


It's important to note, however, that while this traditional definition of IQ (mental age divided by physical age) has served as a useful guideline for many years, contemporary definitions of IQ often emphasize the ranking of individual scores against those of an age-matched sample, giving a statistical measure instead of an age-ratio one.

This is because as people grow older, a straight age-ratio measure becomes less and less meaningful - a fifty-year-old who can do tasks typical of a fifty-five-year-old is hardly five times as intelligent as a ten-year-old who can do tasks typical of an eleven-year-old! Yet an age-ratio formula would assign both the same IQ score of 110.

Learn more about IQ calculation here:

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