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Question
IQ of a person is given by the formula
IQ = `(MA)/(CA) xx100`
Where MA is mental age and CA is chronological age. If 80 ≤ IQ ≤ 140 for a group of 12 years old children, find the range of their mental age.
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Solution
It is given that for a group of 12 years old children, 80 ≤ IQ ≤ 140 …(i)
For a group of 12 years old children, CA = 12 years
IQ = `("MA")/12 xx 100`
Putting this value of IQ in (i), we obtain
`80 < ("MA")/12 xx 100 ≤ 140`
⇒ `80 xx 12/100 ≤ "MA" ≤ 140 xx 12/100`
⇒ 9.6 ≤ MA ≤ 16.8
Thus, the range of mental age of the group of 12 years old children is 9.6 ≤ MA ≤ 16.8.
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