College

Jack is 10 years old, but he scored a mental age of 8 years old on his IQ test. Using the Terman formula, what would Jack's IQ score be?

A. 50
B. 20
C. 80
D. 100

Answer :

To find Jack's IQ score using the Terman formula, we can follow these steps:

1. Identify Jack’s Chronological Age: This is his actual age, which is given as 10 years old.

2. Identify Jack’s Mental Age: This is the age at which Jack performs mentally, and it is given as 8 years old.

3. Apply the Terman formula for IQ:
[tex]\[
\text{IQ} = \left(\frac{\text{Mental Age}}{\text{Chronological Age}}\right) \times 100
\][/tex]

4. Plug in the Known Values:
- Mental Age = 8
- Chronological Age = 10
[tex]\[
\text{IQ} = \left(\frac{8}{10}\right) \times 100
\][/tex]

5. Calculate the Result:
- First, divide 8 by 10 to get 0.8.
- Then, multiply 0.8 by 100 to find Jack's IQ score.

6. Compute the Final Score:
[tex]\[
\text{IQ} = 0.8 \times 100 = 80
\][/tex]

Therefore, Jack's IQ score, according to the Terman formula, is 80.