This math topic focuses on calculating the mean (average) of a set of numbers and understanding the impact of changing a specific value within the set to achieve a new mean. Each problem provides a list of numbers and tasks the learner with identifying the new value that one of the numbers can be changed to adjust the mean to a specified target. This skill is crucial for interpreting and manipulating data sets in statistics, enhancing problem-solving and analytical thinking in advanced probability and statistics contexts.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Mean with Value Changed
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
What can the indicated number can be changed to for these numbers to have the given mean
15, 0, 22, 14, 4
Change a 22 to change the mean to 13
Statistics - Mean with Value Changed Worksheet
| Math worksheet on 'Statistics - Mean 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/ |
| 11, 9, 14, 0, 6 Change a 0 to change the mean to 10 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 10 |
| 11 |
| 8 |
| 9 |
| 5 |
| 12 |
| 11, 11, 7, 13, 13 Change a 13 to change the mean to 10 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 11 |
| 5 |
| 3 |
| 13 |
| 2 |
| 8 |
| 9, 2, 14, 12, 3 Change a 2 to change the mean to 9 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 8 |
| 12 |
| 11 |
| 2 |
| 7 |
| 5 |
| 4, 9, 4, 7, 1 Change a 1 to change the mean to 6 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 7 |
| 6 |
| 3 |
| 1 |
| 0 |
| 2 |
| 5, 15, 22, 7, 16 Change a 15 to change the mean to 16 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 33 |
| 31 |
| 32 |
| 34 |
| 30 |
| 26 |
| 1, 4, 24, 13, 8 Change a 13 to change the mean to 13 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 29 |
| 27 |
| 30 |
| 28 |
| 22 |
| 25 |
| 5, 2, 18, 11, 9 Change a 9 to change the mean to 8 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 8 |
| 9 |
| 7 |
| 4 |
| 1 |
| 6 |