What does midhinge mean?
Definitions for midhinge
mid·hinge
This dictionary definitions page includes all the possible meanings, example usage and translations of the word midhinge.
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Wiktionary
midhingenoun
A measure of location of a batch or sample equal to the average of the first and third quartiles. Equivalently, it is the 25% trimmed mid-range;
Wikipedia
Midhinge
In statistics, the midhinge is the average of the first and third quartiles and is thus a measure of location. Equivalently, it is the 25% trimmed mid-range or 25% midsummary; it is an L-estimator. MH ( X ) = Q 1 , 3 ( X ) ¯ = Q 1 ( X ) + Q 3 ( X ) 2 = P 25 ( X ) + P 75 ( X ) 2 = M 25 ( X ) {\displaystyle \operatorname {MH} (X)={\overline {Q_{1,3}(X)}}={\frac {Q_{1}(X)+Q_{3}(X)}{2}}={\frac {P_{25}(X)+P_{75}(X)}{2}}=M_{25}(X)} The midhinge is related to the interquartile range (IQR), the difference of the third and first quartiles (i.e. I Q R = Q 3 − Q 1 {\displaystyle IQR=Q_{3}-Q_{1}} ), which is a measure of statistical dispersion. The two are complementary in sense that if one knows the midhinge and the IQR, one can find the first and third quartiles. The use of the term "hinge" for the lower or upper quartiles derives from John Tukey's work on exploratory data analysis in the late 1970s, and "midhinge" is a fairly modern term dating from around that time. The midhinge is slightly simpler to calculate than the trimean ( T M {\displaystyle TM} ), which originated in the same context and equals the average of the median ( X ~ = Q 2 = P 50 {\displaystyle {\tilde {X}}=Q_{2}=P_{50}} ) and the midhinge. MH ( X ) = 2 TM ( X ) − med ( X ) = 2 Q 1 + 2 Q 2 + Q 3 4 − Q 2 {\displaystyle \operatorname {MH} (X)=2\operatorname {TM} (X)-\operatorname {med} (X)=2{\frac {Q_{1}+2Q_{2}+Q_{3}}{4}}-Q_{2}}
Wikidata
Midhinge
In statistics, the midhinge is the average of the first and third quartiles and is thus a measure of location. Equivalently, it is the 25% trimmed mid-range or 25% midsummary; it is an L-estimator. The midhinge is complemented by the H-spread, or interquartile range, which is the difference of the third and first quartiles and which is a measure of statistical dispersion, in sense that if one knows the midhinge and the interquartile range, one can find the first and third quartiles. The use of the term "hinge" for the lower or upper quartiles derives from John Tukey's work on exploratory data analysis, and "midhinge" is a fairly modern term dating from around that time. The midhinge is slightly simpler to calculate than the trimean, which originated in the same context and equals the average of the median and the midhinge.
Numerology
Chaldean Numerology
The numerical value of midhinge in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of midhinge in Pythagorean Numerology is: 6
Translations for midhinge
From our Multilingual Translation Dictionary
- milieu de la charnièreFrench
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"midhinge." Definitions.net. STANDS4 LLC, 2024. Web. 23 Apr. 2024. <https://www.definitions.net/definition/midhinge>.
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