Formula of IQ is :

Question

Formula of IQ is :

Accepted Answer

The formula for calculating IQ (Intelligence Quotient) is given by:

$$ \text{IQ} = \frac{\text{MA}}{\text{CA}} \times 100 $$

where:
- MA stands for Mental Age, which is a measure of an individual's mental ability as determined by standardized tests.
- CA stands for Chronological Age, which is the actual age of the individual in years.

**Explanation for Option 1:**

Option 1 correctly represents the formula for IQ. The concept of IQ was developed to assess an individual's cognitive abilities relative to their age group. By dividing the Mental Age (MA) by the Chronological Age (CA) and multiplying by 100, the formula provides a standardized score that indicates how an individual's mental performance compares to the average performance of individuals in the same age group. An IQ score of 100 is considered average, meaning the individual's mental age is equivalent to their chronological age.

**Explanation for why other options are incorrect:**

- **Option 2: $\frac{\text{CA}}{\text{MA}} \times 100$**

This option incorrectly reverses the roles of MA and CA. If the chronological age were divided by the mental age, it would not accurately reflect the individual's cognitive abilities relative to their age group. This would result in a misleading score that does not align with the established understanding of IQ.

- **Option 3: $\frac{\text{CA} \times 100}{\text{MA}}$**

This option rearranges the formula in a way that does not make logical sense for calculating IQ. Multiplying the chronological age by 100 and then dividing by the mental age would not provide a meaningful measure of intelligence. The standard IQ formula is designed to compare mental age to chronological age, not the other way around.

- **Option 4: $\frac{\text{MA}}{\text{BA}} \times 100$**

This option introduces a term "BA" which is not relevant to the standard IQ calculation. BA could stand for Biological Age, but it is not used in the context of IQ measurement. The correct formula involves comparing mental age to chronological age, not any other type of age.

In conclusion, Option 1 is the correct formula for calculating IQ, as it accurately reflects the relationship between mental age and chronological age, providing a standardized measure of cognitive ability.