This math topic focuses on understanding and calculating how changes to a single value within a numeric set impact the mean of that set. It involves problems where students must determine how to modify specific numbers to either increase or decrease the mean by a given amount. Each problem presents a set of numbers and specifies one number to be changed to achieve the desired average shift. The problems are crafted to enhance students' skills in manipulating and understanding mean in the context of basic statistics.
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
7, 9, -1
Change a 7 to increase the mean by 2
Statistics - Mean Change with Value Changed Worksheet
| Math worksheet on 'Statistics - Mean Change with Value Changed (Level 2)'. 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/ |
| 6, 6, 6 Change a 6 to increase the mean by 2 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 12 |
| 17 |
| 9 |
| 11 |
| 15 |
| 10 |
| 6, 2, 10 Change a 6 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 |
| 8 |
| 6 |
| 5 |
| 9 |
| 7 |
| 4 |
| 4, 6, 8 Change a 8 to increase the mean by 2 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 9 |
| 14 |
| 18 |
| 16 |
| 8 |
| 11 |
| 5, 5, 5 Change a 5 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 |
| 4 |
| 1 |
| 5 |
| 0 |
| 3 |
| 2 |
| 2, 2, 11 Change a 2 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 |
| 13 |
| 6 |
| 15 |
| 10 |
| 11 |
| 14 |
| 10, 6, 2 Change a 6 to increase the mean by 2 |
| What can the indicated number be changed to for these numbers to have the given change in their mean |
| 13 |
| 17 |
| 9 |
| 8 |
| 15 |
| 12 |
| 1, 3, 11 Change a 1 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 |
| 5 |
| 10 |
| 14 |
| 7 |
| 9 |
| 6 |