Statistic

This math topic focuses on understanding changes in the mean of a set of numbers after adding a new value. It explores scenarios in which a single value is added to a group of existing numbers, resulting in a specified increase or decrease in the average (mean). Each problem provides a list of three initial numbers and a target mean change, requiring the solver to determine the additional number that, when added, achieves this new mean. The problems are set within a broader educational context of advanced probability and statistics, specifically focusing on calculating mean, median, and mode.