This math topic focuses on how changing a single value in a dataset affects the mean of the group. It explores various scenarios where students must determine what a specific number in a sequence should be changed to in order to achieve a designated increase or decrease in the mean. This set of problems is an advanced application of statistics within the broader unit of probability and statistics concerning mean, median, and mode. It tests the understanding of the relationship between individual data points and the overall statistical measure of the mean.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Mean Change with Value Changed
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
What can the indicated number be changed to for these numbers to have the given change in their mean
1, 14, 16, 13
Change a 16 to increase the mean by 1
Statistics - Mean Change with Value Changed Worksheet
| Math worksheet on 'Statistics - Mean Change with Value Changed (Level 4)'. 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/ |
| 7, 6, 15, 12 Change a 6 to increase the mean by 3 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 17 |
| 22 |
| 14 |
| 18 |
| 16 |
| 20 |
| 10, 3, 13, 6 Change a 10 to decrease the mean by 1 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 0 |
| 11 |
| 4 |
| 6 |
| 2 |
| 7 |
| 5, 5, 8, 6 Change a 6 to decrease the mean by 1 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 0 |
| 5 |
| 4 |
| 2 |
| 1 |
| 3 |
| 14, 0, 16, 10 Change a 16 to decrease the mean by 2 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 9 |
| 5 |
| 8 |
| 6 |
| 11 |
| 4 |
| 5, 15, 13, 3 Change a 5 to increase the mean by 1 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 10 |
| 7 |
| 8 |
| 4 |
| 14 |
| 9 |
| 6, 4, 17, 9 Change a 4 to decrease the mean by 1 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 6 |
| 4 |
| 2 |
| 0 |
| 3 |
| 1 |
| 1, 10, 16, 13 Change a 16 to increase the mean by 1 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 15 |
| 20 |
| 19 |
| 24 |
| 16 |
| 23 |