# Question: Explain why the percentage of all possible observations of a

Explain why the percentage of all possible observations of a normally distributed variable that lie within two standard deviations to either side of the mean equals the area under the standard normal curve between −2 and 2.

## Relevant Questions

What does the empirical rule say? A variable is normally distributed with mean 6 and standard deviation 2. a. Determine and interpret the quartiles of the variable. b. Obtain and interpret the 85th percentile. c. Find the value that 65% of all possible ...As reported in Runner’s World magazine, the times of the finishers in the New York City 10-km run are normally distributed with mean 61 minutes and standard deviation 9 minutes. a. Determine the percentage of finishers ...Explain how to use Table II to determine the z-score that has a specified area to its a. Left under the standard normal curve. b. Right under the standard normal curve. The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. According to the document Interpreting Your GRE Scores, a publication of the Educational Testing ...Post your question