Definitions

Midpoint

[mid-point]

The midpoint (also known as class mark in relation to histogram) is the middle point of a line segment. It is equidistant from both endpoints. The formula for determining the midpoint of a segment in the plane, with endpoints $\left(x_1, y_1\right)$ and $\left(x_2, y_2\right)$ is

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

In three-dimensional Cartesian space, the midpoint formula is

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