Question

The IQ of person is given by the formula, IQ=(m/c)×100, where m is the mental age and c is the Chromological age. If 80≤IQ≤140 for a group of 12-year children, find the range of their mental age?

Answer 1

The range of the mental age for a group of 12-year-old children with IQ scores between 80 and 140 is 0.8c to 1.4c, where c is the chronological age.

Step-by-step explanation:

To find the range of the mental age for a group of 12-year-old children with IQ scores between 80 and 140, we can rearrange the equation: IQ = (m/c) * 100. Let's assume the minimum IQ score is 80 and the maximum is 140. Substituting these values into the equation, we get:

80 = (m/c) * 100 and 140 = (m/c) * 100.

Now, we can solve for m/c by dividing both sides of each equation by 100:

80/100 = m/c and 140/100 = m/c. Simplifying, we have:

0.8 = m/c and 1.4 = m/c.

To find the range of the mental age, we need to find the range of m. Multiplying both sides of each equation by c, we get:

0.8c = m and 1.4c = m.

So, the range of the mental age is 0.8c to 1.4c, where c is the chronological age, which in this case is 12 years.