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.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Complete this topic with 80% correct, working as fast as you can! Results are immediate.
What number can be added for these numbers to have the given change in their mean
10, 9, 8
mean decreases by 1