Answer :
Final answer:
According to the 68-95-99.7 rule, 5% of the population is more than 2 standard deviations away from the mean.
Explanation:
The 68-95-99.7 rule, also known as the Empirical Rule, states that for data with a bell-shaped and symmetric distribution, approximately 68 percent of the data falls within one standard deviation of the mean, about 95 percent falls within two standard deviations, and more than 99 percent falls within three standard deviations. Since we are looking for the percentage of the population that is more than 2 standard deviations away from the mean, we can subtract the percentage within two standard deviations (95 percent) from 100 percent to find the answer:
100% - 95% = 5%
Therefore, option a) - 5 is the correct answer.
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