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More on Mean and Median


Mike McGarry
Lesson by Mike McGarry
Magoosh Expert

Summary
Understanding the relationship between mean and median is crucial for interpreting data sets, especially in the context of outliers and symmetry.
  • The mean is significantly influenced by outliers, whereas the median remains unaffected.
  • Mean and median are equal in cases of evenly spaced numbers or symmetrical distributions.
  • Outliers can cause the mean to deviate from the median, pulling it in the direction of the outlier.
  • In asymmetrical lists, the mean and median will differ, with the mean being more sensitive to changes.
  • It's possible to compare mean and median without direct calculation by analyzing the distribution and direction of outliers.
Chapters
00:00
The Impact of Outliers on Mean and Median
00:50
Symmetry and Its Effect on Mean and Median
02:28
Practical Application and Problem Solving