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For the band Midpoint, see Midpoint (band).
The midpoint of the segment (x1, y1) to (x2, y2)
The midpoint of the segment (x1, y1) to (x2, y2)

The midpoint (also known as class mark in relation to histogram) is the middle point of a line segment. In Statistics, a histogram is a Graphical display of tabulated frequencies, shown as Bars It shows what proportion of cases fall into each of In Geometry, Topology and related branches of mathematics a spatial point describes a specific point within a given space that consists of neither Volume In Geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its end points It is equidistant from both endpoints. Distance is a numerical description of how far apart objects are The formula for determining the midpoint of a segment in the plane, with endpoints (x1,y1) and (x2,y2) is

\left(\tfrac{x_1 + x_2}{2}, \tfrac{y_1 + y_2}{2}\right).

In three-dimensional Cartesian space, the midpoint formula is

M=\left(\tfrac{x_1 + x_2}{2}, \tfrac{y_1 + y_2}{2}, \tfrac{z_1 + z_2}{2}\right).

See also

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In Mathematics and in the Sciences a formula (plural formulae, formulæ or formulas) is a concise way of expressing information In Geometry, a median of a Triangle is a Line segment joining a vertex to the Midpoint of the opposing side In Geometry, bisection is the division of something into two equal or Congruent parts usually by a line, which is then called a bisector In Numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite Integral, and by extension

Dictionary

midpoint

-noun

  1. A point equidistant between two extremes.
  2. (mathematics) A point which divides a line segment into two lines of equal length.
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