If the population is bell-shaped, then the interval that is 3 standard deviation away from the center contains what percent of data in the population?
.27 percent
http://www.math.csusb.edu/faculty/stanton/m262/normal_distribution/normal_distribution.html
The mean length of the first 20 space shuttle flights was about 7 days, and
the standard deviation was about 2 days. On the basis of Chebychev’s
Theorem, at least how many of the flights lasted between 3 days and 11
days?
To determine what percent of data in a bell-shaped population lies within an interval that is 3 standard deviations away from the center, we need to refer to the empirical rule, also known as the 68-95-99.7 rule.
According to the empirical rule:
- Approximately 68% of the data falls within 1 standard deviation of the mean.
- Approximately 95% of the data falls within 2 standard deviations of the mean.
- Approximately 99.7% of the data falls within 3 standard deviations of the mean.
Since we are interested in the interval that is 3 standard deviations away from the center (mean), we can conclude that approximately 99.7% of the data in the population lies within this interval.
Therefore, the interval that is 3 standard deviations away from the center contains about 99.7% of the data in the population.