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In statistics, the mid-range or mid-extreme is a measure of central tendency of a sample defined as the arithmetic mean of the maximum and minimum values of the data set: [1] M = max x + min x 2 . {\displaystyle M={\frac {\max x+\min x}{2}}.}
Statistics Definitions > Midrange. What is the Midrange? The midrange is a type of average, or mean. For example, “midrange” electronic gadgets are in the middle-price bracket: not cheap, but not expensive, either. The formula to find the midrange = (high + low) / 2.
23 lut 2020 · Midrange determines the number that is halfway between the minimum and maximum numbers of a data set. It is a statistical tool that identifies a measure of center like median, mean or mode.
27 maj 2024 · Midrange is a simple statistical measure used to identify the central tendency of a dataset. It is calculated as the average of the maximum and minimum values in a dataset. The midrange provides a quick estimate of the center of the data distribution.
Mid-range, also known as the mid-maximum range, is a measure of central tendency in statistics. It is calculated by taking the average of the highest and lowest values in a dataset. This measure is useful in identifying the “middle” of a dataset and can provide valuable insights into the overall distribution of the data.
The midrange is defined as the average of the high and the low observations in a dataset. Because it is a linear combination of order statistics, it falls in the class of L-estimates. Although it uses order statistics in its calculation, the statistic can be influenced by a single bad observation on the high or low side.
28 paź 2024 · Given order statistics Y_1=min_(j)X_j, Y_2, ..., Y_(N-1), Y_N=max_(j)X_j with sample size N, the midrange of the random sample is defined by MR=1/2(Y_1+Y_N) (Hogg and Craig 1995, p. 152).