# Question: Use the empirical rule to explain why the standard deviation

Use the empirical rule to explain why the standard deviation of a bell-shaped distribution for a large data set is often roughly related to the range by evaluating Range ≈ 6s. (For small data sets, one may not get any extremely large or small observations, and the range may be smaller, for instance about 4 standard deviations.)

## Answer to relevant Questions

We’ve seen that measures such as the mean, the range, and the standard deviation can be highly influenced by outliers. Explain why the range is worst in this sense. A teacher shows her class the scores on the midterm exam in the stem-and-leaf plot shown: 6 588 a. Identify the number of students and their minimum and maximum scores. b. Sketch how the data could be displayed in a dot ...For each of the following variables, indicate whether you would expect its histogram to be symmetric, skewed to the right, or skewed to the left. Explain why. a. Assessed value of houses in a large city b. Number of times ...The mean and median describe the center. a. Why is the median sometimes preferred? Give an example. b. Why is the mean sometimes preferred? Give an example. The Statistical Abstract of the United States reported that in 2004 for those with a college education, the median net worth was $226,100 and the mean net worth was $851,300. For those with a high school diploma only, the ...Post your question