AP PSYCHOLOGY

RESEARCH METHODS THINKING CRITICALLY WITH PSYCHOLOGICAL SCIENCE

THE SCIENTIFIC METHOD AND DESCRIPTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Julia has an IQ of 130. If the mean for IQ is 100 with a standard deviation of 15, what percentage of the population has an IQ greater that Julia’s, assuming the population falls on a normal distribution?
A
0 percent
B
2.5 percent
C
32 percent
D
50 percent
Explanation: 

Detailed explanation-1: -For example, given that the IQ scores have a mean of 100 and a standard deviation of 15, one can conclude that only about 2.3% of the population have an IQ of 130 or higher. Here is how this works. First, let us define the “Standard Normal Distribution."

Detailed explanation-2: -Example: IQ Scores IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. About 68% of individuals have IQ scores in the interval 100 ± 1 ( 15 ) = [ 85, 115 ] .

Detailed explanation-3: –If IQ has a mean of 100 and a standard deviation of 15, what z score corresponds to a 130? (130-100)/15=2.

Detailed explanation-4: -The two-standard-deviations rule implies that about 5 percent of the population have IQ scores more than 30 points away from 100: 2.5 percent above 130 and 2.5 percent below 70.

Detailed explanation-5: -The number actually represents how your results compare to those of other people your age. A score of 116 or more is considered above average. A score of 130 or higher signals a high IQ. Membership in Mensa, the High IQ society, includes people who score in the top 2 percent, which is usually 132 or higher.

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