Answer :
Jacob's average IQ is 133.
To calculate an average IQ, we use the formula for IQ which is:
[tex]\text{IQ} = \frac{\text{mental age}}{\text{chronological age}} \times 100[/tex]
Jacob is 9 years old (chronological age) and prefers academically at a 12-year-old level (mental age).
Plugging in these values:
[tex]\text{IQ} = \frac{12}{9} \times 100[/tex]
First, we divide 12 by 9:
[tex]\frac{12}{9} = 1.33[/tex]
Then, multiply by 100 to get the IQ:
[tex]1.33 \times 100 = 133[/tex]
So, this IQ score of 133 is considered to be in the superior range.
Final answer:
Jacob's IQ can be determined by using the formula IQ = (mental age ÷ chronological age) × 100. Since his mental age is assessed at 12 and his chronological age is 9, his IQ would be 133.
Explanation:
the calculation of an individual's IQ, which involves using a formula that compares mental age to chronological age. According to the provided formula, IQ is calculated as the mental age divided by the chronological age, multiplied by 100. In this specific scenario, Jacob is 9 years old but performs academically at the level of a 12-year-old, suggesting he has a mental age of 12 years. Therefore, Jacob's IQ would be calculated as follows:
IQ = (mental age ÷ chronological age) × 100
IQ = (12 ÷ 9) × 100
IQ = 1.33 × 100
IQ = 133
These calculations suggest that Jacob's IQ would be approximately 133, which indicates he is performing well above his chronological age level.
