LatexNotes

Bar / overline (x̄) in LaTeX

The bar accent \bar{x} draws a short horizontal line over a single symbol, most often to denote a sample mean (x-bar) or a complex conjugate. For a bar that spans several symbols use \overline{...} instead.

LaTeX command

\bar{x}

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\bar{x} is a math-mode accent whose bar is sized for one character. It is the standard notation for the sample mean of a data set, and also appears for the complex conjugate of a number and for the complement of a set. It needs no extra package and renders in KaTeX anywhere in math mode.

The key distinction is width. \bar always produces a fixed, narrow bar tuned to a single letter, so \bar{AB} looks wrong because the line is too short. When the bar must cover two or more symbols, a whole expression, or a repeating decimal, switch to \overline{...}, which stretches to fit its contents.

Both commands are purely visual and do not change how the symbol behaves in an equation. Use \bar for one letter and \overline for a group, closure or conjugate of an expression such as \overline{z_1 z_2}. For a line underneath use \underline instead.

Other forms

\overline{x+y}overline over several symbols

Examples

$\bar{x} = \frac{1}{n}\sum_{i=1}^{n} x_i$

the sample mean

$\overline{z} = a - bi$

complex conjugate over a single symbol

$\overline{z_1 + z_2} = \overline{z_1} + \overline{z_2}$

\overline stretches over an expression

$\overline{A \cup B} = \bar{A} \cap \bar{B}$

De Morgan with set complements

$0.\overline{3} = \frac{1}{3}$

a repeating decimal

Tips and common mistakes

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FAQ

What is the LaTeX command for x bar (the mean)?

Write in math mode. It renders a short bar over the x, the standard symbol for a sample mean.

How do I put a bar over more than one letter?

Use \overline{...}, for example or . \bar only sizes itself to one character and will look too short over a group.

What is the difference between \bar and \overline?

\bar is a fixed-width accent for a single symbol; \overline stretches to cover whatever is inside its braces. Neither needs an extra package.

See also