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MIDHINGE

Midhinge

In statistics, the midhinge (MH) is the average of the first and third quartiles and is thus a measure of location. Equivalently, it is the 25% trimmed

Midhinge

Interquartile range

Measure of statistical dispersion

income rates. For a symmetric distribution (where the median equals the midhinge, the average of the first and third quartiles), half the IQR equals the

Interquartile range

Interquartile_range

Box plot

Data visualization

visually estimate various L-estimators, notably the interquartile range, midhinge, range, mid-range, and trimean. Box plots can be drawn either horizontally

Box plot

Box_plot

Mid-range

Arithmetic mean of the maximum and the minimum

robust, having a breakdown point of n%. In the middle of these is the midhinge, which is the 25% midsummary. The median can be interpreted as the fully

Mid-range

Trimean

Type of weighted average

quartiles. This is equivalent to the arithmetic mean of the median and the midhinge: T M = 1 2 ( Q 2 + Q 1 + Q 3 2 ) {\displaystyle TM={\frac {1}{2}}\left(Q_{2}+{\frac

Trimean

Quartile

Statistic which divides data into four same-sized parts for analysis

values found by this method are also known as "Tukey's hinges"; see also midhinge. Use the median to divide the ordered data set into two halves. The median

Quartile

L-estimator

mid-range, the range, the midsummary (trimmed mid-range, including the midhinge), and the trimmed range (including the interquartile range and interdecile

L-estimator

Quartile coefficient of dispersion

Normalized measure of statistical dispersion

quartiles (the interquartile range, IQR) to the average of the quartiles (the midhinge, MH): Q C D = 1 2 I Q R M H = 1 2 ( Q 3 − Q 1 ) Q 3 + Q 1 2 = Q 3 − Q 1

Quartile coefficient of dispersion

Quartile_coefficient_of_dispersion

Central tendency

Statistical value representing the center or average of a distribution

Midrange the arithmetic mean of the maximum and minimum values of a data set. Midhinge the arithmetic mean of the first and third quartiles. Quasi-arithmetic

Central tendency

Central_tendency

John Tukey

American mathematician (1915–2000)

biweight function Tukey's fences Tukey window Cepstrum Flexagon Median polish Midhinge Slash distribution Theory of conjoint measurement Coining the term 'bit'

John Tukey

John_Tukey

Interdecile range

Statistical measure

65% efficiency. Analogous measures of location are given by the median, midhinge, and trimean (or statistics based on nearby points). Interquartile range

Interdecile range

Interdecile_range

Coefficient of variation

Relative measure of dispersion expressed as the ratio of standard deviation to the mean

{\displaystyle {(Q_{3}-Q_{1})/2}} divided by the average of the quartiles (the midhinge), ( Q 1 + Q 3 ) / 2 {\displaystyle {(Q_{1}+Q_{3})/2}} . In most cases,

Coefficient of variation

Coefficient_of_variation

Average absolute deviation

Summary statistic of variability

maximum absolute deviation trimmed L∞ norm statistics: for example, the midhinge (average of first and third quartiles) which minimizes the median absolute

Average absolute deviation

Average_absolute_deviation

Five-number summary

Set of descriptive statistics

computed from the five-number summary, including interquartile range, midhinge, range, mid-range, and trimean. The five-number summary is sometimes represented

Five-number summary

Five-number_summary

Trimmed estimator

Concept in statistics

the minimum and maximum values Interquartile mean, the 25% trimmed mean Midhinge, the 25% trimmed mid-range Trimmed estimators used to estimate a scale

Trimmed estimator

Trimmed_estimator

List of statistics articles

support Metropolis–Hastings algorithm Mexican paradox Microdata (statistics) Midhinge Mid-range MinHash Minimax Minimax estimator Minimisation (clinical trials)

List of statistics articles

List_of_statistics_articles

Glossary of engineering: M–Z

an L-estimator, it is simple to understand and compute. Midhinge In statistics, the midhinge is the average of the first and third quartiles and is thus

Glossary of engineering: M–Z

Glossary_of_engineering:_M–Z

Glossary of civil engineering

List of definitions of terms and concepts related to civil engineering

mechanical filter mechanical wave mechanics mechanism metal alloy mid-range midhinge mining engineering Miller indices mobile robot modulus of elasticity molding

Glossary of civil engineering

Glossary_of_civil_engineering

Glossary of structural engineering

Materials science – Metal alloy – Metallic bond – Middle-third rule – Midhinge – Modified compression field theory – Modulus of elasticity – Moment redistribution

Glossary of structural engineering

Glossary_of_structural_engineering