What does arithmetic mean?

The

arithmetic average is a measure of the central tendency calculated by adding the values ​​of all numbers in the set and dividing the total number of items in the set. All numbers in the set must be positive real numbers. The average terms and average also apply to the arithmetic average and are commonly used in real situations.

The arithmetic diameter is always greater or equal to the geometric diameter. The geometric diameter is always greater or equal to the harmonious diameter if only real positive numbers are used. Together, the arithmetic average, the geometric diameter and the harmonic diameter are referred to as three Pythagorean means.

When the lowest and highest number in the set is compared with the arithmetic average of the set, the diameter will always lie among the lowest and highest number. However, the diameter is not always in the middle of a set of numbers. This is because it can be very affected by the presence of either extreme high values ​​or extreme minimum, alsocalled remote value. For this reason, there are other measures of central tendencies such as average and regime, help describe the set.

The example is a set whose values ​​are 4, 6, 7, 10, 13 and 34. The diameter equals 12.3, which is more than a person where the center can be. Yet, when one value, 34, turns to 14 to more, the other is 9, the arithmetic average is 9. Despite its weaknesses, the arithmetic average is commonly used in most academic disciplines other than statistics and mathematics, especially economics, social science and history.

In solving the arithmetic diameter, half of the values ​​must be higher than the diameter of the set, while the other half of the values ​​must be lower than the average. This does not apply to the number of items in the set. The arithmetic mean value acts as Fulcrum Balance for Values.

Although the arithmetic average is a commonly understood concept that is easily calculated, existedA situation where the geometric diameter or harmonic average provides more accurate information about a set of values. The harmonious average often has an application for engineering data, especially when determining the resources. The geometric average can be descriptive for economic data, proportional growth or social science statistics.