középértékét

The term középértékét is Hungarian for "its mean value" or "average value". In a mathematical context it usually refers to the arithmetic mean of a set of numbers, defined as the sum of the elements divided by the number of elements. The concept is commonly applied in statistics, economics, education and many fields of science to describe central tendency. The word comes from közép, meaning "middle" or "central", and érték, meaning "value".

In physics, középértékét may denote the average value of a function over a given interval or over a probability distribution. For a continuous function f(x) defined on an interval [a, b], the mean value is given by the integral of f over that interval divided by the length of the interval, ∫_a^b f(x)dx /(b‑a). This definition underlies the mean value theorem, which states that under certain smoothness conditions there exists a point c in (a, b) where f(c) equals this average value.

In statistics the mean provides a summary of a data set. Variations such as weighted mean, harmonic mean, geometric mean and median also exist, each emphasising different aspects of the data. The central mean value is a fundamental tool for comparing distributions and assessing overall performance.