The scale of scores for an IQ test are approximately normal with mean 100 and standard deviation 15. The organization MENSA, whi

Question

3 years ago

8

The scale of scores for an IQ test are approximately normal with mean 100 and standard deviation 15. The organization MENSA, whi

ch calls itself the “high IQ society”, requires a score of 130 or higher. What percent of adults are between IQ of 100 and 130 ?
A)68%
B)47.5%
C)95%
D)81.5%

Mathematics

1 answer:

Zina [86] · Answer 1 · 2022-07-23T21:26:36+03:00

Answer:

B) 47.5%

Step-by-step explanation:

Refer to the normal distribution chart attached. If 130 is 2 standard deviations higher than the mean (ignore the numbers beneath the percentages), then by the empirical rule, this means that 34%+13.5%=47.5% of adults are between IQs of 100 and 130. Therefore, option B is correct.