This math topic focuses on understanding how adding a specific value affects the mean of a set of numbers. Each problem presents a list of numbers and specifies how the mean should change (increase or decrease) when a new number is added. Students are tasked with identifying the correct number to add to achieve the specified change in the mean. This topic helps enhance skills in calculating means and understanding the relationship between individual data points and their average.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Mean Change with Value Added
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
What number can be added for these numbers to have the given change in their mean
6, 8, 6, 4
mean increases by 2
Statistics - Mean Change with Value Added Worksheet
| Math worksheet on 'Statistics - Mean Change with Value Added (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/ |
| 12, 13, 10, 5 mean increases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 15 |
| 11 |
| 12 |
| 20 |
| 19 |
| 10 |
| 6, 7, 4, 3 mean decreases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 1 |
| 2 |
| 4 |
| 0 |
| 3 |
| 5 |
| 7, 3, 13, 1 mean decreases by 0 |
| What number can be added for these numbers to have the given change in their mean |
| 1 |
| 6 |
| 4 |
| 5 |
| 2 |
| 0 |
| 14, 1, 1, 4 mean increases by 2 |
| What number can be added for these numbers to have the given change in their mean |
| 17 |
| 14 |
| 19 |
| 13 |
| 12 |
| 15 |
| 0, 3, 6, 3 mean increases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 8 |
| 4 |
| 3 |
| 5 |
| 10 |
| 6 |
| 3, 0, 8, 9 mean increases by 3 |
| What number can be added for these numbers to have the given change in their mean |
| 23 |
| 22 |
| 14 |
| 20 |
| 16 |
| 17 |
| 10, 15, 10, 9 mean decreases by 1 |
| What number can be added for these numbers to have the given change in their mean |
| 0 |
| 7 |
| 11 |
| 1 |
| 10 |
| 6 |