Assessment, Statistics, and Research

Averages Can Be Deceiving What You Need to Know About Averages Most people assume that a simple statistic like a mean or a median tells the whole story. It doesn’t. Averages can clarify—but they can also mislead—depending on which one you use and how your data are distributed. Understanding the mean, median, and mode helps you interpret test scores, salaries, evaluations, and research findings with greater accuracy. CALCULATOR : I have included a basic calculator at the bottom of this page. The Mean, Median, and Mode Mean The mean is the arithmetic average of a set of numbers. You calculate it by adding all the values and dividing by the number of values. Example: For the data 1, 2, 3, 4, 5, the sum is 15 and the mean is 3. The mean uses every value in the dataset, which makes it useful but also sensitive to extreme scores. Median The median is the middle value when numbers are arranged from lowest to highest. Half the values fall above it and half fall below it. Example: In the set 1,...