# MATH 10041 Study Guide - Midterm Guide: Standard Score, Unimodality, Standard Deviation

## Document Summary

Use and interpret the mean and standard deviation for a set of numerical data; Understand the standard deviation as a typical distance from the mean of a symmetric, unimodal distribution. Know that the empirical rule provides a quick estimate of the spread of data in a unimodal, symmetric distribution given the mean and standard deviation; Recognize when the empirical rule does not apply; Be able to use and interpret the empirical rule in context. Given a distribution, be able to determine which measure of center and spread is appropriate; Know and be able to use the measures of center and spread that are appropriate for skewed distributions. Understand the effect of outliers on measures of center. Find the mean of a small data set by hand; Find the standard deviation of a small data set by hand; Use technology to find the mean and standard deviation of larger data sets; Interpret the mean of a distribution in context;