This math topic focuses on understanding the impact of changing one value in a set of numbers on the mean of that set. Specifically, it involves adjusting one specified number in a set to either increase or decrease the mean by a certain amount. The seven questions provided offer different scenarios with sets of five numbers each, where learners must determine the new value of a particular number to achieve the desired change in the mean. This topic is an advanced part of studying mean, median, and mode within the broader framework of probability and 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
12, 15, 11, 12, 0
Change a 0 to increase the mean by 2
Statistics - Mean Change with Value Changed Worksheet
| Math worksheet on 'Statistics - Mean Change with Value Changed (Level 5)'. 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, 6, 11, 11 Change a 11 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 |
| 24 |
| 30 |
| 21 |
| 26 |
| 23 |
| 25 |
| 11, 1, 25, 12, 1 Change a 12 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 |
| 22 |
| 18 |
| 13 |
| 16 |
| 17 |
| 17, 2, 21, 11, 9 Change a 21 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 |
| 14 |
| 18 |
| 13 |
| 21 |
| 17 |
| 16 |
| 2, 1, 24, 13, 10 Change a 1 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 |
| 2 |
| 10 |
| 3 |
| 0 |
| 8 |
| 6 |
| 11, 14, 9, 6, 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 |
| 0 |
| 1 |
| 3 |
| 2 |
| 4 |
| 5 |
| 8, 6, 14, 2, 5 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 |
| 6 |
| 15 |
| 8 |
| 14 |
| 11 |
| 9 |
| 5, 17, 19, 2, 2 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 |
| 16 |
| 19 |
| 14 |
| 13 |
| 17 |
| 20 |