1
QuizMultiple Choice

Introduction to Normal Distributions — Quiz

Question 1 • Mathematics III

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

Answer
A
68 percent
B
99 point 7 percent
C
47 point 5 percent
D
34 percent

Explanation

The Empirical Rule says that for an approximately normal distribution, about 68% of the values fall within 1 standard deviation of the mean. Therefore, about 68 percent of the fish lengths are in that range; 34% is only about half of the area within 1 standard deviation.

AI-written and checked against the verified answer.

Next