What does the mean represent in a distribution of scores?

The mean represents the average score calculated from all numbers in a distribution. It is found by summing all individual scores in a dataset and then dividing that total by the number of scores. This provides a measure of central tendency that reflects the overall performance of the group, making it useful for understanding the general level of scores within the dataset.

While other statistical measures like the mode and median serve different purposes, the mean is particularly valuable for interpreting data that is symmetrically distributed, as it takes into account every score in the set, thus providing a comprehensive snapshot of overall performance. In contrast, the mode focuses solely on the most frequently occurring score, the median identifies the middle score in an ordered dataset, and the range measures the distance between the highest and lowest scores, neither of which conveys the average performance across all participants.