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Educational Psychology / Unit 8   EDP 0705 worked example, 60 to 90 seconds

Ratio and Deviation IQ

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The idea

The original intelligence quotient was a ratio: mental age divided by chronological age, multiplied by one hundred. A child whose mental age matches her age scores exactly one hundred; a child ahead of her age scores higher, and a child behind scores lower. The modern deviation IQ works differently. It places a score by its position among same-age peers, on a scale set so the average is one hundred and the standard deviation fifteen.

In practice

Worked example: an eight-year-old with a mental age of ten has a ratio IQ of ten divided by eight, times one hundred, or 125. On a deviation scale, the question becomes how far above the average of other eight-year-olds the child scored: a score of 115 means one standard deviation above the mean.

Where people slip

Both kinds of IQ center on one hundred, but they are computed differently: the ratio compares ages, while the deviation compares a person with peers of the same age. Modern tests report deviation scores.

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