This math topic focuses on calculating the effects of removing a single value from a set on the statistical mean. It falls under the advanced section of the broader unit on Probability and Statistics, specifically targeting skills related to Mean, Median, and Mode. Each problem provides a list of numbers and specifies whether the mean increases or decreases by a particular amount when a value is removed. The goal is for learners to identify which number, when removed, results in the specified change in the mean.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Mean Change with Value Removed
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
What number can be removed for these numbers to have the given change in their mean
0, 3, 6, 7
mean decreases by 1
Statistics - Mean Change with Value Removed Worksheet
| Math worksheet on 'Statistics - Mean Change with Value Removed (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/ |
| 9, 0, 9, 10 mean decreases by 1 |
| What number can be removed for these numbers to have the given change in their mean |
| 7 |
| 10 |
| 0 |
| 9 |
| 11 |
| 1, 5, 0, 14 mean decreases by 3 |
| What number can be removed for these numbers to have the given change in their mean |
| 1 |
| 5 |
| 9 |
| 8 |
| 14 |
| 0 |
| 6, 2, 1, 11 mean decreases by 2 |
| What number can be removed for these numbers to have the given change in their mean |
| 8 |
| 5 |
| 10 |
| 6 |
| 1 |
| 11 |
| 11, 6, 10, 9 mean decreases by 0 |
| What number can be removed for these numbers to have the given change in their mean |
| 8 |
| 6 |
| 13 |
| 10 |
| 11 |
| 9 |
| 4, 7, 7, 2 mean increases by 1 |
| What number can be removed for these numbers to have the given change in their mean |
| 4 |
| 3 |
| 2 |
| 7 |
| 1 |
| 6, 3, 6, 1 mean increases by 1 |
| What number can be removed for these numbers to have the given change in their mean |
| 6 |
| 1 |
| 4 |
| 3 |
| 2 |
| 3, 8, 10, 15 mean decreases by 2 |
| What number can be removed for these numbers to have the given change in their mean |
| 15 |
| 20 |
| 3 |
| 8 |
| 19 |
| 10 |