Means | Summary statistics

Mid-range

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: The mid-range is closely related to the range, a measure of statistical dispersion defined as the difference between maximum and minimum values.The two measures are complementary in sense that if one knows the mid-range and the range, one can find the sample maximum and minimum values. The mid-range is rarely used in practical statistical analysis, as it lacks as an estimator for most distributions of interest, because it ignores all intermediate points, and lacks , as outliers change it significantly. Indeed, for many distributions it is one of the least efficient and least robust statistics. However, it finds some use in special cases: it is the maximally efficient estimator for the center of a uniform distribution, trimmed mid-ranges address robustness, and as an L-estimator, it is simple to understand and compute. (Wikipedia).

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Skewness | Continuous uniform distribution | Statistics | Statistical dispersion | Estimator | Efficiency (statistics) | Midhinge | Trimmed estimator | Laplace distribution | Median | Modified mean | L-estimator | Range (statistics) | Minimum-variance unbiased estimator | Asymptotic distribution | Deviation (statistics) | Truncated mean | Trimean | Central tendency | Average absolute deviation | Probability distribution | German tank problem | Descriptive statistics | Arithmetic mean