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%

Question

Mathematics

Monserrat

20 April, 10:58

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%

+2

Answers (2)

Know the Answer?

Judith Hess · Answer 1

c.) 68%

Step-by-step explanation:

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Jaliyah Hopkins · Answer 2

c) 68%

Step-by-step 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.

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%

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%