TRIMEAN Meaning and
Definition
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Trimean is a statistical measure that combines elements of both the median and the mean. It is commonly used to calculate the central tendency of a set of numerical data. The trimean is often considered a robust measure, meaning that it is less sensitive to extreme outliers or skewed data than other measures, such as the mean.
To calculate the trimean, the data set is first sorted in ascending order. The trimean is then determined by taking the average of the median and the mid-range. The median is the value that divides the data into two equal halves, with 50% of the values above and 50% below. The mid-range is the average of the minimum and maximum values in the data set.
This measure provides a more balanced representation of the data, as it takes into account both the central value (median) and the overall range (mid-range). By incorporating these two measures, the trimean offers a compromise between the values of the median and the mean.
The trimean is particularly useful when dealing with data that may contain extreme values or outliers. It helps to mitigate the influence of these extreme values on the central tendency. Additionally, it provides a concise summary of the data, making it easier to compare different data sets or draw overall conclusions about the distribution of the data.
In summary, the trimean is a statistical measure that combines the median and the mid-range to determine the central tendency of a data set, offering a robust and balanced approach to summarizing numerical data.
