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According to the original formula for an intelligence quotient (IQ), what is the IQ of a 10-year-old child with a mental age of 8 years?

A. 75
B. 80
C. 100
D. 125

Answer :

To calculate the IQ using the original formula, you need to follow these steps:

1. Identify the actual age: For this problem, the child's actual age is 10 years.

2. Identify the mental age: The child's mental age is given as 8 years.

3. Use the IQ formula: The original formula for calculating IQ is:

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

4. Plug in the values:
- Mental Age = 8
- Actual Age = 10

Substitute these values into the formula:

[tex]\[
\text{IQ} = \left(\frac{8}{10}\right) \times 100
\][/tex]

5. Calculate the result:
- First, calculate [tex]\( \frac{8}{10} = 0.8 \)[/tex].
- Next, multiply 0.8 by 100 to get the IQ: [tex]\( 0.8 \times 100 = 80 \)[/tex].

Therefore, the IQ of the 10-year-old child with a mental age of 8 years is 80.

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