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Proposed Mean (Robust) in the Presence of Outlier |
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PP: 103-107 |
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doi:10.18576/jsapl/030301
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Author(s) |
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Md. Moyazzem Hossain,
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Abstract |
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| The term "arithmetic mean" is preferred in some contexts in mathematics and statistics because it helps
distinguish it from other means, such as the geometric mean and the harmonic mean. In addition to mathematics and
statistics, the arithmetic mean is used frequently in fields such as economics, sociology, and history, and it is used in
almost every academic field to some extent. The first recorded time that the arithmetic mean was extended from 2 to n
cases for the use of estimation was in the sixteenth century. While the arithmetic mean is often used to report central
tendencies, it is not a robust statistic, meaning that it is greatly influenced by outliers. This paper attempts to propose a
mean in the presence of outlier and compare the results to the well established and most frequently used arithmetic mean.
The results reveal that the proposed mean is less affected by the outlier than the arithmetic mean. |
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