This math topic explores advanced problems related to changes in the mean of a set of numbers when a specific value is removed. It is part of a broader unit on Probability and Statistics which focuses on Mean, Median, and Mode. Students are presented with sets of numbers and are asked to determine which specific number can be removed to achieve a given change in the mean, whether it be an increase, decrease, or no change. The sets vary in complexity and the changes in mean range from zero to other specified values. This skill helps deepen understanding of how averages are affected by data removal.
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What number can be removed for these numbers to have the given change in their mean
1, 9, 6, 4, 15
mean decreases by 2