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Answer :
To determine the IQ score of a ten-year-old child with a mental age of seven, we use the formula for calculating IQ:
[tex]\[ \text{IQ} = \left( \frac{\text{Mental Age}}{\text{Chronological Age}} \right) \times 100 \][/tex]
Here's how it works step-by-step:
1. Identify the Mental Age: According to the problem, the mental age of the child is seven.
2. Identify the Chronological Age: The chronological age (actual age) of the child is ten.
3. Apply the Formula: Plug the mental age and chronological age into the IQ formula:
[tex]\[ \text{IQ} = \left( \frac{7}{10} \right) \times 100 \][/tex]
4. Perform the Calculation:
- First, divide the mental age by the chronological age: [tex]\( \frac{7}{10} = 0.7 \)[/tex]
- Then, multiply by 100 to get the IQ: [tex]\( 0.7 \times 100 = 70 \)[/tex]
Therefore, the child's IQ score is 70.
[tex]\[ \text{IQ} = \left( \frac{\text{Mental Age}}{\text{Chronological Age}} \right) \times 100 \][/tex]
Here's how it works step-by-step:
1. Identify the Mental Age: According to the problem, the mental age of the child is seven.
2. Identify the Chronological Age: The chronological age (actual age) of the child is ten.
3. Apply the Formula: Plug the mental age and chronological age into the IQ formula:
[tex]\[ \text{IQ} = \left( \frac{7}{10} \right) \times 100 \][/tex]
4. Perform the Calculation:
- First, divide the mental age by the chronological age: [tex]\( \frac{7}{10} = 0.7 \)[/tex]
- Then, multiply by 100 to get the IQ: [tex]\( 0.7 \times 100 = 70 \)[/tex]
Therefore, the child's IQ score is 70.
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