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Answer :
If a 10-year-old performs at the level of a 12-year-old, their mental age is 12 and their IQ is 120, so the correct answer is a) Mental age: 12, IQ: 120.
William Stern introduced the concept of IQ (Intelligence Quotient) as a way to measure intelligence. The IQ formula is given by:
[tex]\[ \text{IQ} = \left( \frac{\text{Mental Age}}{\text{Chronological Age}} \right) \times 100 \][/tex]
Here, the child's chronological age is 10 years, and their performance level corresponds to a mental age of 12 years. Plugging these values into the formula:
[tex]\[ \text{IQ} = \left( \frac{12}{10} \right) \times 100 = 1.2 \times 100 = 120 \][/tex]
Thus, the mental age of the child is 12 years, and their IQ is 120. This indicates that the child is performing better than the average 10-year-old by the equivalent level of a 12-year-old.
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Final answer:
If a 10-year-old child performs at the level of a 12-year-old, their mental age is 12. The IQ is calculated using William Stern's method, which would be (12/10)*100, resulting in an IQ of 120. So, the correct option is a) Mental age: 12, IQ: 120.
Explanation:
According to William Stern, a prominent psychologist known for his work in the field of intelligence, your mental age would be considered as the age that behaves similarly on the intelligence test. So in this case, if a 10-year-old performs at the level of a 12-year-old, their mental age would be 12. To calculate the Intelligence Quotient (IQ), Stern proposed a method where the mental age is divided by the chronological age and then multiplied by 100. Therefore, if a 10-year-old performs at the level of a 12-year-old, their IQ would be (12/10)*100, that equals to 120. So, the correct option is a) Mental age: 12, IQ: 120.
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