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If a 10-year-old can perform the same tasks as the average 15-year-old, then the child's ____ is 15 and ____ is 150.

a. developmental quotient; mental age
b. developmental quotient; IQ score
c. mental age; developmental quotient
d. mental age; IQ score
e. IQ score; mental age

Answer :

Answer:

The correct answer is option D

D. Mental health; IQ score

Explanation:

If a 10-year-old can perform the same tasks as the average 15-year-old, then the child's __mental health__ is 15 and _IQ score___ is 150.

Mental healths has to do with the acceptable intelligence for a particular age while IQ (intelligence quotient deals with whether or not he/she has the average intelligence or exceeded the average intelligence of that age.

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Rewritten by : Barada

The correct option is d. If a 10-year-old can perform the same tasks as the average 15-year-old, then the child's mental age; is 15 and IQ score is 150..

To understand why option d is correct, let's define the terms involved and apply them to the given scenario:

- Mental Age (MA): This is the age level at which a person is performing mentally. It is determined by comparing the individual's performance on mental tasks with the average performance of individuals at different age levels.

- Chronological Age (CA): This is the actual age of an individual, calculated from their date of birth to the present.

- Intelligence Quotient (IQ): This is a score derived from a standardized test designed to assess intelligence. The traditional method of calculating IQ is by dividing the individual's mental age by their chronological age and then multiplying by 100. The formula is:

[tex]\[ IQ = \left( \frac{MA}{CA} \right) \times 100 \][/tex]

Given that the child in question is 10 years old (chronological age) but can perform tasks at the level of an average 15-year-old (mental age), we can calculate the child's IQ as follows:

[tex]\[ IQ = \left( \frac{15}{10} \right) \times 100 = 1.5 \times 100 = 150 \][/tex]

So, the child's mental age is 15, and the IQ score is 150. This matches option d, which states ""mental age; IQ score.""

The other options can be eliminated as follows:

- Option a (developmental quotient; mental age) and option c (mental age; developmental quotient) are incorrect because the term ""developmental quotient"" is not defined by the given IQ formula.

- Option b (developmental quotient; IQ score) is incorrect for the same reason as above; it incorrectly uses ""developmental quotient"" instead of ""mental age.""

- Option e (IQ score; mental age) is incorrect because it reverses the order of the terms. The correct order, as derived from the formula, is mental age first, followed by the IQ score."