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median

 
Dictionary: me·di·an   ('dē-ən) pronunciation
adj.
  1. Relating to, located in, or extending toward the middle.
  2. Anatomy. Of, relating to, or situated in or near the plane that divides a bilaterally symmetrical animal into right and left halves; mesial.
  3. Statistics. Relating to or constituting the middle value in a distribution.
n.
    1. A median point, plane, line, or part.
    2. See median strip. See Regional Note at neutral ground.
  1. Statistics. The middle value in a distribution, above and below which lie an equal number of values.
  2. Mathematics.
    1. A line that joins a vertex of a triangle to the midpoint of the opposite side.
    2. The line that joins the midpoints of the nonparallel sides of a trapezoid.

[Latin mediānus, from medius, middle.]

medianly me'di·an·ly adv.

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If a set of numerical data has n elements and is arranged in order so that either




,
then the median is



if n is odd, and



if n is even.

For example, the time intervals (in minutes, to the nearest minute) between the eruptions of Old Faithful on 1 August 1978 were 78, 74, 68, 76, 80, 84, 50, 93, 55, 76, 58, 74, 75.Arranging these thirteen values in order, we get 50, 55, 58, 68, 74, 74, 75, 76, 76, 78, 80, 84, 93,to give a median of 75 minutes. For 4 August 1978, there were fourteen inter-eruption times, which arranged in order were 60, 66, 67, 68, 70, 72, 73, 75, 75, 75, 79, 84, 86, 86,so that the median is ½(73+75)=74.

Alternatively, an approximate value for the median can be read from a cumulative frequency graph as the value of the variable corresponding to a cumulative relative frequency of 50%.

For a continuous random variable X, the median m of the distribution is such that P(Xm)=½. For a discrete random variable taking values x1<x2<..., the median is xi if P(X<xi)<½ and P(X>xi)<½, and it is ½(xi+xi+1) if P(Xxi)=½ and P(Xxi+1)=½. See also percentile; quartile.



Thesaurus: median
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adjective

  1. At, in, near, or being the center: center, central, medial, mid, middle. See edge/center.
  2. Not extreme: central, intermediate, mean3, medial, mid, middle, middle-of-the-road, midway. See edge/center.

noun

  1. A point or an area equidistant from all sides of something: center, middle, midpoint, midst. See edge/center.
  2. Something, as a type, number, quantity, or degree, that represents a midpoint between extremes on a scale of valuation: average, mean3, medium, norm, par. See usual/unusual.

Antonyms: median
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adj, n

Definition: middle
Antonyms: extreme, outside


Dental Dictionary: median
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(mē'dē ən)
adj

1. pertaining to the middle. n 2. a measure of central tendency attained by a calculation or count that separates all cases in a ranked distribution into halves. The median may be used as an average score.

In a set of data arranged according to rank, the median is the central value. Thus, for the data set: 1, 2, 3, 4, 5, the median is 3. If there is an even number of values, the median lies midway between the two central values. Thus, for the data set: 1, 2, 3, 4, 5, 6, the median is 3.5. For grouped data, the median is found by plotting the data on a cumulative frequency curve. The median value occurs halfway along the y-axis of cumulative frequency: at 50%.

1. Statistic derived from the middle value in a frequency distribution on either side of which lie values with equal total frequency. It is the middlemost score of a series arranged in rank order.

2. In anatomy, applied to a structure in a central body position, or situated towards or in the plane that divides the body or body part into left and right halves.

 
median.

1 In statistics, a type of average. In a group of numbers as many numbers of the group are larger than the median as are smaller. In the group 4, 5, 6, 9, 13, 14, 19, the median is 9, three numbers being larger and three smaller. When there is an even number of numerals in the group, the median is usually defined as the number halfway between the middle pair.

2 In geometry, the line segment connecting any vertex of a triangle to the midpoint of the opposite side; the three medians of a triangle intersect in a single point, called the median point, or centroid. The median of a trapezoid is the line segment connecting the midpoints of the nonparalled opposite sides.


Science Dictionary: median
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In statistics, the middle value of a set of numbers or data points; half the figures will fall below the median and half above. (See average; compare mean and mode.)

The point in a series at which half of the values or units of the series are higher and half lower.

1. situated in the median plane or in the midline of a body or structure.
2. the perpendicular line that divides the area of a frequency curve into two equal halves.

  • m. calving date — the number of days between the first calving in the herd and the 50th percentile calving; an excellent measure of fertility status of seasonally calving herds; in dairy herds the target is 18 days.
  • m. eminence — part of the hypophysis.
  • m. nerve
  • m. nerve block — the anesthetic agent is injected on the medial aspect of the forelimb, just distal to the elbow. An area encircling most of the fetlock and pastern is desensitized.
  • m. nerve injury — results in overextension and dropping of the carpus.
Wikipedia: Median (disambiguation)
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Median has different meanings in different contexts:


Translations: Median
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Dansk (Danish)
adj. - midt-, midter-, mellem-
n. - median, gennemsnit(sværdi), middelværdi

idioms:

  • median strip    midterrabat

Nederlands (Dutch)
mediaan, (bloed)vat etc., middendeel, middellijn

Français (French)
adj. - médiane
n. - (Math, Stat) médiane

idioms:

  • median strip    (US, Aut) terre-plein central

Deutsch (German)
adj. - Mittel-
n. - Zentralwert

idioms:

  • median strip    Mittelstreifen

Ελληνική (Greek)
adj. - (εν)διάμεσος
n. - διάμεση ευθεία ή τιμή

idioms:

  • median strip    μεσαία διαχωριστική λωρίδα

Italiano (Italian)
mediano

idioms:

  • median strip    spartitraffico

Português (Portuguese)
adj. - mediano
n. - número médio (m)

idioms:

  • median strip    faixa média

Русский (Russian)
медиана, срединный, мидийский

idioms:

  • median strip    осевая линия на дороге

Español (Spanish)
adj. - mediano, mediana, medial, central
n. - mediana, meda

idioms:

  • median strip    faja (divisoria) central, separador, faja central, mediana, cantero central

Svenska (Swedish)
adj. - mitt-, mellan-, median
n. - median, mellanting

中文(简体)(Chinese (Simplified))
中央的, 正中的, 中间的, 中动脉, 中值, 中位数

idioms:

  • median strip    高级公路中间分界之安全岛

中文(繁體)(Chinese (Traditional))
adj. - 中央的, 正中的, 中間的
n. - 中動脈, 中值, 中位數

idioms:

  • median strip    高級公路中間分界之安全島

한국어 (Korean)
adj. - 궁간의, 중간에 관계되는
n. - 중동맥, 중간에 관련되는 것

日本語 (Japanese)
adj. - 中間の, 中央の
n. - 中線, 中央値

idioms:

  • median strip    中央分離帯

العربيه (Arabic)
‏(صفه) وسطي (الاسم) المتوسط, الواقع في الوسط, العدد الأوسط, المستقيم المتوسط في مثلث‏

עברית (Hebrew)
adj. - ‮אמצעי‬
n. - ‮חציון (סטטיסטיקה), תיכון (גיאומטריה), עורק, וריד או עצב אמצעי‬


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Dictionary. The American Heritage® Dictionary of the English Language, Fourth Edition Copyright © 2007, 2000 by Houghton Mifflin Company. Updated in 2009. Published by Houghton Mifflin Company. All rights reserved.  Read more
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