Answer :
Matthew's IQ would be 120.
To calculate Matthew's IQ using the Stanford-Binet formula, we divide his mental age (12) by his chronological age (10) and multiply the result by 100.
In this case, the calculation would be (12/10) × 100 = 120.
The Stanford-Binet Intelligence Test is designed to measure a person's cognitive abilities and intellectual potential. It compares an individual's performance on the test to the average performance of individuals in the same age group.
The concept of mental age is used to determine how an individual's intellectual abilities compare to their chronological age. If a person's mental age is higher than their chronological age, it suggests that they are performing at a more advanced level intellectually.
In Matthew's case, with a mental age of twelve at the age of ten, his performance indicates that he is intellectually advanced for his age, resulting in an IQ score of 120.