In statistics the trimean (TM), or Tukey's trimean, is a measure of a probability distribution's location defined as a weighted average of the distribution's median and its two quartiles: T M = Q 1 + 2 Q 2 + Q 3 4 {\displaystyle TM={\frac {Q_{1}+2Q_{2}+Q_{3}}{4}}}

A trimean is a number that represents the general tendency of a set of numbers or data set. Like the mean, median, and mode, it is a measure of central tendency. It is defined to be the weighted average of the median and upper and lower quartiles. …

Trimean is a measure of central tendency, like mean, median and mode. Its meaning is sometimes confusing because it is defined in a manner different from these traditional measures of central tendencies. The trimean is defined as the weighted average of the median and the two quartiles. Thus, mathematically it is written as.

3 days ago · The trimean is defined to be TM=1/4 (H_1+2M+H_2), where H_i are the hinges and M is the statistical median. Press et al. (1992) call this Tukey's trimean. It is an L-estimate.

A truncated mean or trimmed mean is a statistical measure of central tendency, much like the mean and median. It involves the calculation of the mean after discarding given parts of a probability distribution or sample at the high and low end, …

The trimean is computed by adding the 25th percentile plus twice the 50th percentile plus the 75th percentile and dividing by four. What follows is an example of how to compute the trimean. The 25th, 50th, and 75th percentile of the dataset "Example 1" are 51, 55, and 63 respectively. Therefore, the trimean is computed as:

trimean (numeric value of length 1). ... further arguments passed to or from other methods. https://en.wikipedia.org/wiki/Trimean. stopifnot(trimean(0:100) == median(0:100))

A very nice measure of centrality is the so-called trimean. “An advantage of the trimean as a measure of the center (of a distribution) is that it combines the median’s emphasis on center values with the midhinge’s attention to the extremes.”

Trimean. The trimean is a robust measure of central tendency; it is a weighted average of the 25th, 50th, and 75th percentiles. Specifically it is computed as follows: Trimean = 0.25 x 25th + 0.5 x 50th + 0.25 x 75th.

Although the mean, median, and mode are by far the most commonly used measures of central tendency, they are by no means the only measures. This section defines three additional measures of central tendency: the trimean, the geometric mean, and the trimmed mean.