# What is median?

• (noun): The value below which 50% of the cases fall.
Synonyms: median value

## Median

In statistics and probability theory, median is described as the numerical value separating the higher half of a sample, a population, or a probability distribution, from the lower half. The median of a finite list of numbers can be found by arranging all the observations from lowest value to highest value and picking the middle one. If there is an even number of observations, then there is no single middle value; the median is then usually defined to be the mean of the two middle values.

### Some articles on median:

Median - History
... The idea of the median originated in Edward Wright's book on navigation (Certaine Errors in Navigation) in 1599 in a section concerning the determination of location with a compass ... method based on the L1 norm and therefore implicitly on the median ... The distribution of both the sample mean and the sample median were determined by Laplace in the early 1800s ...
Union County, Tennessee - Demographics
... The median age was 36 years ... The median household income was \$27,335 and the median family income was \$31,843 ... Males had a median income of \$26,436 versus \$18,665 for females ...
Binomial Distribution - Mode and Median
... as follows In general, there is no single formula to find the median for a binomial distribution, and it may even be non-unique ... established If np is an integer, then the mean, median, and mode coincide and equal np ... Any median m must lie within the interval ⌊np⌋ ≤ m ≤ ⌈np⌉ ...
Wyoming County, New York - Demographics
... The median age was 37 years ... The median household income was \$39,895, and the median family income was \$45,088 ... Males had a median income of \$31,973 versus \$22,252 for females ...
Woodland Hills, Los Angeles - Demographics
... Median household income in 2000 was \$72,568 ... Median home cost in ZIP 91364 is (2007) \$944,500 and cost of living in ZIP 91364 is (2007) 76.26% higher than the U.S ... supplied these Woodland Hills neighborhood statistics population 59,661 median household income \$89,946 ...

### More definitions of "median":

• (adj): Relating to or constituting the middle value of an ordered set of values (or the average of the middle two in an even-numbered set).
Example: "The median value of 17, 20, and 36 is 20"; "the median income for the year was \$15,000"
Synonyms: average
• (adj): Dividing an animal into right and left halves.
Synonyms: medial
• (adj): Relating to or situated in or extending toward the middle.
Synonyms: medial