# median

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Related to Medians: Medes, Medians of a triangle

## 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.

## 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.

## 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
References in periodicals archive ?
Method of comparison used for these parameters is called Multiple of median (MoM).
For heterogeneity of median values, Mann Whitney test was carried out.
The median problem in comparative genomics calls for a permutation such that the total distance to a given set S of permutations is minimised.
Depending on which distance measure we use, the median problem may be easy or hard.
According to Saving Lives by Preventing Across Median Crashes in North Carolina, a document outlining a 1998 study conducted by NCDOT, more than 38 people lose their lives and nearly 300 others are injured in cross-median crashes on North Carolina freeways each year.
However, through research studies by NCDOT and the subsequent installation of protective median barriers, the State has reduced its cross-median crashes dramatically, cutting the number of fatalities from these crashes nearly in half during installation of the median barriers from January 1999 through December 2003, and saving hundreds of millions of dollars in fatal crash costs alone.
Several other studies have resulted in positive findings that barrier medians are safer than 2WLTL.
The guidelines in exhibit 1 reveal that company C's percentages are greater than the medians of the standard report group but less than those of the modified report group.
The typical constitution of the staff is an executive director (44% had a disability), one administrative staff, 4.5 direct service staff, and 1.5 volunteers (median).
The fourth quarter median sale price of \$158,500 and mean sale price of \$185,455 both were about 6 percent above comparable 1995 averages.
(2) A chief purpose of the core CPI and the median CPI is to give an accurate reading on trend movements in the CPI.
A companion report, REBNY's Quarterly Cooperative Report, demonstrated strength in the smaller cooperative market with studio and one-bedrooms, which made up 47 percent of the reported coop transactions, rising to a median price per room of \$ I 18,333 from \$116,833 last year.

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