Using William Stern's now-outdated intelligence quotient formula, what would be the IQ of an 8-year-old child with a mental age of 12?

A. 66
B. 50
C. 100
D. 125
E. 150

Answer :

To find the IQ of an 8-year-old child with a mental age of 12 using William Stern's formula, follow these steps:

1. Identify the Mental Age and Chronological Age:
- Mental Age: 12 years
- Chronological Age: 8 years

2. Use the IQ formula:
IQ is calculated using the formula:

[tex]\[
IQ = \left( \frac{\text{Mental Age}}{\text{Chronological Age}} \right) \times 100
\][/tex]

3. Plug the values into the formula:
- [tex]\(\text{Mental Age} = 12\)[/tex]
- [tex]\(\text{Chronological Age} = 8\)[/tex]

[tex]\[
IQ = \left( \frac{12}{8} \right) \times 100
\][/tex]

4. Perform the division:
- [tex]\(\frac{12}{8} = 1.5\)[/tex]

5. Multiply by 100 to find the IQ:
- [tex]\(1.5 \times 100 = 150\)[/tex]

Therefore, the IQ of the child, according to William Stern's formula, is 150.