# median

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## median.

1 In statistics, a type of averageaverage,
number used to represent or characterize a group of numbers. The most common type of average is the arithmetic mean. See median; mode.
. 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.

## median

see MEASURES OF CENTRAL TENDENCY.
Collins Dictionary of Sociology, 3rd ed. © HarperCollins Publishers 2000
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

## Median

in geometry, the line segment joining a vertex of a triangle to the midpoint of the opposite side. The three medians of a triangle are concurrent. Their common point is called the centroid of the triangle. The centroid of a triangle cut out of material of uniform density is the center of gravity. It is also the center of gravity of a system of three equal masses situated at the vertices of the triangle. The medians of a triangle divide one another in the ratio 2:1 reckoning from the vertex to the base.

## Median

in probability theory, one of the characteristics of the distribution of values of a random variable. For a random variable X with continuous distribution function F(x), the median m is defined as the root of the equation The random variable X assumes values larger than m with probability ½ and values smaller than m with the same probability.

In mathematical statistics, the median of an ordered sequence of n quantities x1x2 ≤ • • • ≤ xn is either xk, if n is odd and equal to 2k + 1, or (xk + xk+1)/2, if n is even and equal to 2k. As an estimate of the median for independent observations of a random variable X, we take the median of the ordered sequence constructed from the results of the observations.

## median

[′mē·dē·ən]
(mathematics)
Any line in a triangle which joins a vertex to the midpoint of the opposite side.
The line that joins the midpoints of the nonparallel sides of a trapezoid. Also known as midline.
(science and technology)
Located in the middle.
(statistics)
An average of a series of quantities or values; specifically, the quantity or value of that item which is so positioned in the series, when arranged in order of numerical quantity or value, that there are an equal number of items of greater magnitude and lesser magnitude.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## median

1. Biology of or relating to the plane that divides an organism or organ into symmetrical parts
2. Geometry
a. a straight line joining one vertex of a triangle to the midpoint of the opposite side
b. a straight line joining the midpoints of the nonparallel sides of a trapezium
3. Canadian the strip, often covered with grass, that separates the two sides of a highway
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005
References in periodicals archive ?
50th percentile of daily mean temperature decreased for 13 of the 15 prefectures (Figure 2A).
In addition, the higher median population densities of Portland and Columbus compared with Charleston (indicated by the height of their 50th percentile density markers) are associated with weaker multifamily permitting.
The proxy advisory firm says that under the current plan, executives are eligible for rewards even if the company's performance is below the 50th percentile of its designated peer group.
Nurse staffing at MMH performed mostly below the NDNQI 50th percentile for RN hours per patient day (RNHPPD) as noted in Figure 1.
At intersection 5, blind participants missed the surge of the lead vehicle in the near parallel lane at a significantly lower rate when the ambient sound level of the three-second window immediately preceding the surge was below the 50th percentile (M = 7.9%, SD = 11.0%) than when it was above the 50th percentile (M = 21.2%, SD = 28.3%), t = -2.606, p = .022, d = .70 (see Table 3).
The 50th percentile of Heights of Adolescent girls of present study was greater than ICMR study in urban areas at all ages; however maximum difference of 5.6 cms was seen at the age 13 years.
The percentage of farmers using fallow ranged from 0 to 100 percent; the median value (50th percentile) was 40 percent, and about a quarter of the communes had more than 80 percent of farmers practicing it.
Districts classified as "above average" rank at or above the 50th percentile of all school districts in the survey sample; "below average" districts rank below the 50th percentile.
For example, a household that uses welfare and with 2007 net worth at the 15th, 30th, or 50th percentiles has a lower 2009 net worth (-\$14,650.37, loss of 832 percent at the 15th percentile; -\$55,345.92, loss of 164 percent at the 30th percentile; or -\$204,329.60, loss of 159 percent at the 50th percentile) than a household that does not use welfare and has similar levels of 2007 net worth.
The internipple index was 24.0% for males and 23.8% for females at the 3rd percentile, 27.0% for males and 26.9% for females at the 50th percentile, and 30.2% in both genders at the 97th percentile.
The 50th percentile male's peak elbow and wrist torque values were the lowest.

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