Question

The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation. According to the Empirical Rule, what percentage of the fish will have lengths within 1 standard deviation of the mean?

a) 34%
b) 47.5%
c) 68%
d) 99.7%

Answer 1

c) 68%

Explanation:

The empirical rule states that most of the data will be within three standard deviations in a normal distribution. The 68% of the data will be within one standard deviation, the 95% will be within two standard deviations, and 99.7% of the data will be within three standard deviations.

A normal distribution is a continuous distribution in which values around the mean are the most frequents. It can also be called a bell-shaped distribution.