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5.4: Median and Mean
https://stats.libretexts.org/Courses/Cerritos_College/Introduction_to_Statistics_with_R/05%3A_Summarizing_Data_With_Numbers/5.04%3A_Median_and_Mean
The center of a distribution could be defined three ways: (1) the point on which a distribution would balance, (2) the value whose average absolute deviation from all the other values is minimized or...The center of a distribution could be defined three ways: (1) the point on which a distribution would balance, (2) the value whose average absolute deviation from all the other values is minimized or (3) the value whose average squared difference from all the other values is minimized.
3.7: Median and Mean
https://stats.libretexts.org/Courses/Luther_College/Psyc_350%3ABehavioral_Statistics_(Toussaint)/03%3A_Summarizing_Distributions/3.07%3A_Median_and_Mean
The center of a distribution could be defined three ways: (1) the point on which a distribution would balance, (2) the value whose average absolute deviation from all the other values is minimized or...The center of a distribution could be defined three ways: (1) the point on which a distribution would balance, (2) the value whose average absolute deviation from all the other values is minimized or (3) the value whose average squared difference from all the other values is minimized.

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