High School

Five-year-old Benjy has an IQ of 120 on the original version of the Stanford-Binet. What is his mental age?

Answer :

The correct answer is; 6. His mental age is six.

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Final answer:

Five-year-old Benjy has an IQ of 120 on the Stanford-Binet test, indicating that his mental age is 6 years old.

Explanation:

The Stanford-Binet test is a traditional method of intelligence testing that measures cognitive abilities like judgment, comprehension, and reasoning, and provides an IQ score. To calculate the mental age of a child based on their IQ score, we use the formula: IQ = mental age ÷ chronological age × 100. Therefore, if five-year-old Benjy has an IQ of 120, we can reverse the formula to find his mental age:

  • IQ = mental age ÷ chronological age × 100
  • 120 = mental age ÷ 5 × 100
  • Mental age = (IQ × chronological age) ÷ 100
  • Mental age = (120 × 5) ÷ 100
  • Mental age = 600 ÷ 100
  • Mental age = 6

Therefore, Benjy's mental age, as measured by the original version of the Stanford-Binet test, is 6 years old.