What is the definition of mean in maths?

The mean in mathematics, often referred to as the average, is a measure of central tendency that represents the typical value of a set of numbers. It is calculated by summing all the values in the set and then dividing by the number of values.

Here's a more formal definition:

For a set of numbers {x1, x2, ..., xn}, the mean (or average) is calculated as:

Mean = (x1 + x2 + ... + xn) / n

Where:

* x1, x2, ..., xn are the individual values in the set.

* n is the total number of values in the set.

Examples:

* Set of numbers: {2, 4, 6, 8, 10}

* Mean = (2 + 4 + 6 + 8 + 10) / 5 = 30 / 5 = 6

* Set of numbers: {15, 20, 25, 30, 35}

* Mean = (15 + 20 + 25 + 30 + 35) / 5 = 125 / 5 = 25

Note: The mean is a very common statistical measure and is used in various applications, such as:

* Finding the average grade in a class

* Determining the average height of students in a school

* Calculating the average income of people in a city

There are different types of means, such as the arithmetic mean, geometric mean, and harmonic mean, each with its own specific formula and applications.