Question:
Find out the IQ of a 14-year-old child with a mental age of 16.
Find out the IQ of a 14-year-old child with a mental age of 16.
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If the Mental Age (MA) is greater than the Chronological Age (CA), the IQ will always be greater than 100, indicating above-average intelligence.
Updated On: Mar 10, 2026
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Solution and Explanation
Step 1: Understanding the Concept:
The Intelligence Quotient (IQ) is a measure of intellectual maturity and is calculated using the ratio of Mental Age (MA) to Chronological Age (CA).
Step 2: Key Formula or Approach:
The standard formula for calculating IQ as given by William Stern and later refined by Terman is:
\[ IQ = \frac{MA}{CA} \times 100 \]
Where:
\( MA = \) Mental Age
\( CA = \) Chronological Age
Step 3: Detailed Explanation:
Given in the question:
Chronological Age (\( CA \)) = 14 years
Mental Age (\( MA \)) = 16 years
Substituting the values into the formula:
\[ IQ = \frac{16}{14} \times 100 \]
\[ IQ = 1.142857 \times 100 \]
\[ IQ = 114.2857... \]
Rounding to two decimal places, we get 114.29 or 114.28.
Step 4: Final Answer:
The IQ of the 14-year-old child is 114.28.
The Intelligence Quotient (IQ) is a measure of intellectual maturity and is calculated using the ratio of Mental Age (MA) to Chronological Age (CA).
Step 2: Key Formula or Approach:
The standard formula for calculating IQ as given by William Stern and later refined by Terman is:
\[ IQ = \frac{MA}{CA} \times 100 \]
Where:
\( MA = \) Mental Age
\( CA = \) Chronological Age
Step 3: Detailed Explanation:
Given in the question:
Chronological Age (\( CA \)) = 14 years
Mental Age (\( MA \)) = 16 years
Substituting the values into the formula:
\[ IQ = \frac{16}{14} \times 100 \]
\[ IQ = 1.142857 \times 100 \]
\[ IQ = 114.2857... \]
Rounding to two decimal places, we get 114.29 or 114.28.
Step 4: Final Answer:
The IQ of the 14-year-old child is 114.28.
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