Question

Find out the IQ of a 14-year-old child with a mental age of 16.

Hint:

If the Mental Age (MA) is greater than the Chronological Age (CA), the IQ will always be greater than 100, indicating above-average intelligence.

Answer 1

The Intelligence Quotient (IQ) is a measure of a person's intellectual abilities in relation to others. It is calculated using the formula:
\[ IQ = \left(\frac{\text{Mental Age}}{\text{Chronological Age}}\right) \times 100 \] Where:
- Mental Age (MA) refers to the age at which the child is performing intellectually.
- Chronological Age (CA) refers to the actual age of the child.
In this case:
- Mental Age = 16 years
- Chronological Age = 14 years
Substituting the given values into the formula, we get:
\[ IQ = \left(\frac{16}{14}\right) \times 100 \] First, calculate the fraction: \[ \frac{16}{14} = 1.1429 \] Now multiply by 100 to find the IQ: \[ IQ = 1.1429 \times 100 = 114.29 \] Therefore, the IQ of the 14-year-old child with a mental age of 16 is approximately 114. This IQ score indicates that the child is performing above average in comparison to their actual age group, as the average IQ is typically set at 100. A score of 114 suggests that the child has a higher intellectual capacity than most individuals in the same age group. It's important to note that IQ scores can vary based on a variety of factors, and they are only one way to measure intellectual ability.