Answer :
Approximately 32% of people have IQs below 68, and approximately 2.5% of people have IQs above 148 based on the 68-95-99.7 Rule and the given mean and standard deviation.
Percentage of people with IQs below 68:
According to the 68-95-99.7 Rule, approximately 68% of the data falls within one standard deviation of the mean in a normal distribution. Since the mean IQ is 100 and the standard deviation is 16, we can infer that approximately 34% of people have IQs below 100.
To find the percentage of people with IQs below 68, which is two standard deviations below the mean, we can subtract the percentage within one standard deviation from 50% (100% - 68% = 32%). Therefore, the percentage of people with IQs below 68 is approximately 32%.
Percentage of people with IQs above 148:
Using the same reasoning, we can determine that approximately 95% of the data falls within two standard deviations of the mean in a normal distribution.
This means that approximately 2.5% of the data falls above two standard deviations. To find the percentage of people with IQs above 148, we can subtract this value from 50% (100% - 2.5% = 97.5%). Therefore, the percentage of people with IQs above 148 is approximately 2.5%.
Learn more about standard deviation:
https://brainly.com/question/13498201
#SPJ11
