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Answer :
Final answer:
A 6-year-old who performs at the level of an average 8-year-old would have an IQ of 133, as calculated using the formula IQ = mental age 2d chronological age 2d 100 from the original Stanford-Binet intelligence test. So, the correct option is a. 133.
Explanation:
The question involves calculating an Intelligence Quotient (IQ) using the Stanford-Binet test, which is a crucial part of psychological assessment and understanding of human intelligence. The formula applied for calculating IQ is: IQ = mental age 2d chronological age 2d 100. If a 6-year-old has the proficiency typical of an average 8-year-old, their IQ would be calculated as follows: 8 2d 6 2d 100 = 1.33 2d 100 = 133. Therefore, the correct answer to the student's question is that a 6-year-old who responds to the original Stanford-Binet with the proficiency typical of an average 8-year-old would have an IQ of 133.
This calculation demonstrates that IQ scores are relative measures of intelligence adjusted for the age of the individual, and this principle is followed by most modern intelligence tests. The Stanford-Binet test, an adaptation of the Binet-Simon test, is standardized and its results follow a normal distribution similar to demographic measurements like height.
The understanding of IQ scores becomes important when considering cognitive abilities and assessing potential intellectual disabilities or exceptional intelligence. Therefore, the correct option is a. 133.
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