High School

Based on the way in which IQ was originally calculated, an average 10-year-old would have an IQ of:

a. 100
b. 150
c. 125
d. 75

Answer :

According to the way IQ was originally calculated, an average 10-year-old would have an IQ of option a. 100.

The given statement "Based on the way in which IQ was originally calculated, an average 10-year-old would have an IQ of" indicates that we need to understand the original method of calculating IQ. IQ, or Intelligence Quotient, was originally calculated as mental age divided by chronological age, multiplied by 100. For an average 10-year-old, if their mental age equals their chronological age, their IQ would be 100. Therefore, the correct answer is option a. 100.

Now, let's delve into the mathematical explanation. If the mental age equals the chronological age, then the IQ equation becomes (10/10) * 100 = 100. Since the mental age is the same as the chronological age, the quotient is 1, and when multiplied by 100, the result is 100. Hence, the IQ of an average 10-year-old according to the original calculation method is 100. Therefore, option a. 100 is the correct answer.

In conclusion, the original method of calculating IQ involves dividing the mental age by the chronological age and then multiplying by 100. For an average 10-year-old where the mental age equals the chronological age, the IQ would be 100. Hence, option a. 100 is the correct answer.