Statistics - Mean Change with Value Removed (Level 4)

This math topic involves solving problems related to the mean change when a certain value is removed from a set of numbers. Practitioners are expected to identify which number should be removed from a given list to achieve a specified change in the mean. The problems are structured with a series of sets, each with unique numbers and targets for the mean decrease, followed by multiple-choice options to determine which specific value, when removed, results in the target mean change. This topic forms part of a broader unit focused on advanced aspects of mean, median, and mode within probability and statistics.

Mean Change with Value Removed

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What number can be removed for these numbers to have the given change in their mean

10, 15, 5, 2

mean increases by 2