Answer to Question #161710 in Statistics and Probability for EBADUR RAHMAQNM BARBHUIYA

Question

biologists gather data on a sample of fishes in a large lake. they capture, measure the length of, and release 1,000 fishes. they find that the standard deviation is 5 centimeters, and the mean is 25 centimeters. they also notice that the shape of the distribution (according to a histogram) is normal. approximately what percentage of fish in the lake is likely to have a length within three standard deviations of the mean?

Answer 1

Solution:

The Empirical rule (https://www.investopedia.com/terms/e/empirical-rule.asp#:~:text=The%20Empirical%20Rule%20states%20that,standard%20deviations%20from%20the%20mean.) or three-sigma rule states that approximately 99.7% of data following the normal distribution lies within 3 standard deviations of the mean. So, this is our answer.

Answer:

99.7%