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.
Practice:
Mean Change with Value Added
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
What number can be added for these numbers to have the given change in their mean
3, 9, 6
mean increases by 1
Statistics - Mean Change with Value Added Worksheet
| Math worksheet on 'Statistics - Mean Change with Value Added (Level 3)'. Part of a broader unit on 'Probability and Statistics - Mean, Median, and Mode - Advanced' Learn online: app.mobius.academy/math/units/probability_and_statistics_mean_median_mode_advanced/ |
| 5, 4, 6 mean increases by 2 |
| What number can be added for these numbers to have the given change in their mean |
| 15 |
| 8 |
| 14 |
| 18 |
| 13 |
| 11 |
| 8, 3, 7 mean decreases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 0 |
| 5 |
| 7 |
| 2 |
| 3 |
| 6 |
| 5, 3, 1 mean increases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 6 |
| 12 |
| 7 |
| 4 |
| 8 |
| 9 |
| 9, 12, 3 mean decreases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 4 |
| 0 |
| 3 |
| 2 |
| 1 |
| 5 |
| 0, 5, 1 mean increases by 2 |
| What number can be added for these numbers to have the given change in their mean |
| 10 |
| 11 |
| 15 |
| 14 |
| 13 |
| 9 |
| 3, 9, 3 mean decreases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 3 |
| 1 |
| 5 |
| 6 |
| 2 |
| 0 |
| 8, 7, 9 mean increases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 15 |
| 12 |
| 9 |
| 14 |
| 6 |
| 8 |