The Wechsler Adult Intelligence Scale (WAIS) is the most common IQ test. The distribution of scores for adults taking the WAIS i
s approximately Normal with a mean of 100 and a standard deviation of 15. Use the 68–95–99.7 rule to answer the questions about WAIS scores. What percentage of adults score above 100? 32% 84% 50% 2.5% 0.3% 68% What percentage of adults score above 145? 0.15% 0.3% 84% 99.85% 16% 99.7% What percentage of adults score below 85? 99.7% 84% 8% 16% 0.3% 68% Calling itself "the high IQ society," MENSA requires an IQ score of 130 or higher for membership. What percentage of adults taking the WAIS test qualify for membership? (Enter your answer rounded to the nearest tenth of a percent.) percentage:
1 answer:
Answer:
1. 50% 2. 0.15% 3. 16% 4. 2.5%
Step-by-step explanation:
The 68-95-99.7 rule for a mean of 100 and a standard deviation of 15 is shown below.
1. The percentage of adults that score above 100 is 50% because the normal density function is symmetric around its mean, and in this case 100 is the mean, therefore, there are 50% below the mean and 50% above the mean.
2. The percentage of adults that score above 145 is 0.15%, it is easy to verify this using the empirical rule shown below.
3. The percentage of adults scoring below 85 is 16%, i.e., 0.15% + 2.35% + 13.5%
4. The percentage of adults taking the WAIS test that qualify for membership is 2.5%, i.e., 2.35% + 0.15%
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