This math topic focuses on problems related to changing a single data value in a set to achieve a specific change in the mean (average). By adjusting one value in the data set up or down, students practice calculating the resultant mean. The tasks are structured to deepen understanding of how individual values influence the overall average in statistical sets, part of an advanced unit on Probability and Statistics, dealing with mean, median, and mode. Each question presents a unique scenario testing students' ability to manipulate numerical data effectively.
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
0, 10, 17, 9
Change a 10 to decrease the mean by 2
Statistics - Mean Change with Value Changed Worksheet
| Math worksheet on 'Statistics - Mean Change with Value Changed (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, 12, 9, 2 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 |
| 0 |
| 2 |
| 3 |
| 5 |
| 4 |
| 1 |
| 3, 4, 8, 5 Change a 4 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 |
| 11 |
| 8 |
| 9 |
| 12 |
| 13 |
| 2 |
| 10, 2, 8, 4 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 |
| 9 |
| 7 |
| 11 |
| 6 |
| 3 |
| 4 |
| 11, 1, 8, 4 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 |
| 2 |
| 3 |
| 5 |
| 1 |
| 4 |
| 0 |
| 7, 10, 7, 12 Change a 10 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 |
| 19 |
| 12 |
| 16 |
| 15 |
| 13 |
| 18 |
| 12, 5, 8, 7 Change a 5 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 |
| 10 |
| 17 |
| 14 |
| 13 |
| 8 |
| 18 |
| 3, 4, 13, 8 Change a 13 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 |
| 21 |
| 22 |
| 20 |
| 24 |
| 17 |
| 15 |