This math topic revolves around calculating how the mean of a set of numbers changes when one value in the set is altered. The problems teach students to calculate the necessary change to achieve a specific mean shift, either an increase or a decrease, in the set. Each question provides a list of numbers and specifies one number to modify by a precise amount (either increasing or decreasing the mean), challenging students to determine the new value required. These exercises emphasize practical application and manipulation of means within basic datasets, enhancing students' understanding of statistics and mean calculations.
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
2, 1, 12
Change a 2 to increase the mean by 3
Statistics - Mean Change with Value Changed Worksheet
| Math worksheet on 'Statistics - Mean Change with Value Changed (Level 1)'. 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, 5, 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 |
| 1 |
| 3 |
| 4 |
| 6 |
| 0 |
| 5 |
| 2, 8, 5 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 |
| 8 |
| 16 |
| 14 |
| 10 |
| 11 |
| 12 |
| 5, 4, 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 |
| 6 |
| 0 |
| 2 |
| 3 |
| 7 |
| 5 |
| 2, 9, 4 Change a 9 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 |
| 20 |
| 19 |
| 11 |
| 10 |
| 15 |
| 1, 2, 12 Change a 12 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 |
| 17 |
| 15 |
| 18 |
| 20 |
| 13 |
| 19 |
| 6, 9, 0 Change a 9 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 |
| 7 |
| 6 |
| 4 |
| 5 |
| 9 |
| 0 |
| 2, 7, 6 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 |
| 10 |
| 13 |
| 8 |
| 16 |
| 6 |
| 11 |