# 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.

## 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 ?
26) than similar households at the 50th percentile (\$69,976) from 2007 to 2009, the loss for households at the 15th percentile represents 285 percent of their 2009 net worth but only 54 percent for households at the 50th percentile.
Birth Weight at the 50th Percentile by Sex, Gestational Age and Maternal Region of Birth Infant Gestational Maternal Region of Birth Sex Age (weeks) Canada South East (grams) Asia Asia (grams) (grams) Female 31 1495.
Hancock and Smith are both Republican centrists in comparison with their fellow legislators, with Lib-Con Scores located between the 50th and 75th and 25th and 50th percentiles respectively, and CIs which both cross over the location of the median House Republican.
There was a statistically significant increase in Julian dates for the 50th percentile of the seasonal totals of migrating Sharp-shinned Hawks across 36 years at HRBO (Fig.
you rank in the Y percentile): \$50,000 60th percentile \$93,000 50th percentile \$100,000 48th percentile \$200,000 34th percentile \$500,000 18th percentile \$750,000 12th percentile \$827,000 10th percentile \$1 million 8th percentile \$1.
Board President Tom Pigott said Vierra's previous salary ranked in the 50th percentile compared with other California superintendents at districts of similar size.
01 - one penny less than the average of the 11 comparative utilities - which puts EWEB at about the 50th percentile.
He was always at the 50th percentile for height and weight and met all developmental milestones within normal time limits.
TLE and WDE can be stated as circular error probable (CEP), as the story explains, which is a 50th percentile measurement.
It is clear how poorly women are represented by the height of the 50th percentile male when it is used as the design or testing parameter for airbag and other safety systems.
Assuming a standard normal curve, the result can be interpreted that the average student's academic gain would improve from the 50th percentile to approximately the 60th percentile by implementing field trips.

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