This math topic focuses on calculating the mean and understanding its sensitivity to changes in data values. Each problem presents a set of numbers and requires changing one specific number to achieve a new mean. It emphasizes analytical skills in statistics, specifically within the broader categories of mean, median, and mode at an advanced level. Participants analyze how individual changes in data impact the overall average, fostering a deeper understanding of the concept of the arithmetic mean in datasets.
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
1, 3, 11
Change a 3 to change the mean to 6
Statistics - Mean with Value Changed Worksheet
| Math worksheet on 'Statistics - Mean 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/ |
| 2, 7, 6 Change a 7 to change the mean to 4 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 2 |
| 4 |
| 6 |
| 7 |
| 5 |
| 1 |
| 5, 5, 5 Change a 5 to change the mean to 4 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 0 |
| 2 |
| 1 |
| 7 |
| 5 |
| 4 |
| 7, 5, 3 Change a 5 to change the mean to 7 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 10 |
| 6 |
| 8 |
| 14 |
| 11 |
| 9 |
| 9, 7, -1 Change a 7 to change the mean to 4 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 6 |
| 4 |
| 8 |
| 7 |
| 1 |
| 2 |
| 4, 5, 6 Change a 6 to change the mean to 6 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 7 |
| 13 |
| 9 |
| 12 |
| 14 |
| 4 |
| 7, 3, 5 Change a 3 to change the mean to 4 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 0 |
| 5 |
| 4 |
| 6 |
| 3 |
| 2 |
| 9, 7, -1 Change a 7 to change the mean to 7 |
| What can the indicated number can be changed to for these numbers to have the given mean |
| 17 |
| 13 |
| 10 |
| 15 |
| 14 |
| 8 |