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# IQ Tests and the Normal Distribution – IQ tests are a type of assessment that measures cognitive abilities. They

IQ Tests and the Normal Distribution – IQ tests are a type of assessment that measures cognitive abilities. They provide a score that is intended to serve as a measure of an individual’s intellectual abilities and potential. IQ scores follow a normal distribution, i.e. bell curve.
Begin by reviewing the normal distribution and how to calculate probabilities associated with it:
• This video will review the important features of the normal distribution, https://www.youtube.com/watch?v=mtbJbDwqWLE
• This video shows how to calculate probabilities using the normal distribution in Statcrunch, https://www.youtube.com/watch?v=H_O2GcFCDCw
Next, review the websites below that discuss various IQ tests and how their scores are distributed:
• This website reviews the types of IQ tests (Weschler IQ Test and Stanford-Binet) and how they compare on the normal curve, http://www.assessmentpsychology.com/bellcurve.htm
• This website provides IQ classifications (Very Superior, Superior, High Average, Average, Low Average, Borderline, Extremely Low), and the IQ scores that are associated with those classifications for the Wechsler Adult Intelligence Test, http://www.assessmentpsychology.com/iqclassifications.htm
In your main post, do the following:
1. Select a particular IQ test, such as the Weschler or Stanford-Binet.
a. Describe how the IQ test measures intelligence.
b. Proide the mean and standard deviation of the test.
c. Discuss what score values fall within 1, 2 and 3 standard deviations of the mean and what the Empirical Rule tells us about this.
2. Select a random IQ score.
a. Calculate the probability of a person scoring at least this high. In other words, the probability of a person achieving this score or a higher score. You may use technology to find this value.
b. How is this score classified on the IQ test’s scale (i.e. Average, Above Average, etc.)?
c. Based on the information above, do you think this score is appropriately classified? Please explain from a statistical standpoint as well as a personal perspective.