IQ of a person is given by the formula $$IQ= \dfrac{MA}{CA}\times 100$$ 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.

Asked by Pragya Singh | 1 year ago |  131

Solution :-

According to the question,

Chronological age = CA = 12 years

IQ for age group of 12 is 80 ≤ IQ ≤ 140.

We get that,

80 ≤ IQ ≤ 140

Substituting

$$IQ= \dfrac{MA}{CA}\times 100$$

$$80 ≤\dfrac{MA}{CA}\times 100≤ 140$$

$$80 ≤\dfrac{MA}{12}\times 100≤ 140$$

$$80 ≤\dfrac{12}{100}≤ \dfrac{MA}{12}\times 100≤ 140\times \dfrac{12}{100}$$

9.6 ≤ MA ≤ 16.8

Range of mental age of the group of 12 years old children is 9.6 ≤ MA ≤ 16.8

Answered by Abhisek | 1 year ago

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