Advice 1: How to calculate average value

To calculate the average value when there are multiple different values may be necessary in work, studies or everyday life. Average values are often used to generate statistics so you can learn, for example, the average income per capita or the average cost of vegetables in Russia.
How to calculate average value
You will need
  • a sheet of paper
  • handle
Average in mathematics called "arithmetic mean". In order to calculate the arithmetic mean, for a start write down all your numbers on a sheet of paper.
This method is often used in educational institutions for the issuance of quarter grades. For example, the success of the student Vasi Pugovkin in mathematics was extremely doubtful until the teacher was called into school by his parents. Dad did the Bob suggestion, and by the end of the quarter Bob Pugovkin corrected. Look at Wasini assessment: 2 3 3 2 4 4 5 4. That will put teacher Bob for a quarter?
The average arithmetic mean calculated by the formula: the sum of all numbers divided by the number of numbers. Add up all the numbers between them. 2+3+3+2+4+4+5+4 = 27.
Divide the resulting number by the number of Wusinich assessments. 27 divided by 8 equals 3.375. That number is closer to three than to four. Then, the teacher will have to put the Bob the three, despite his recent successes. However, if Bob Pugovkin will get another five, the score will be controversial, as 32:9 is approximately equal to 3.5.
It is important to remember that if the numbers to multiply, not add, you need to use the geometric, not the arithmetic mean. The most common confusion arises when calculating the return on investment in Finance.
Caution should be when calculating data such as phases or angles. For example, a naive computation of the arithmetic mean of 1° and 359° yields a result of 180°, which is incorrect.
Useful advice
When rounding numbers, remember that the number is rounded depending on the digits after the decimal point. If the digit after the decimal point more than five, the number is rounded in favor of the more; if less, in favor of a smaller. In addition, all digits after the decimal point more than five "I" unit of the previous figure. Due to this, the number of 3.57, for example, is approximately equal to 3,6 and 3,6 can be rounded up to four.

Advice 2: How to calculate the average value

Numerical characteristic of multiple functions or numbers, enclosed between the maximum and minimum values is called the average value. In mathematics, under this definition it is possible to understand the average value of a function average weighted average chronological. In probability theory and statistics, non - parametric averages such as the mode, median and average value of a random variable. For each of these concepts has its own calculation algorithm.
How to calculate the average value
You will need
  • Textbooks on higher mathematics, probability theory, statistics
So, in mathematics the most common and popular calculate power average of function values according to Kolmogorov. Special cases of Kolmogorov averages are the average of the arithmetic average squared, the average harmonic average geometric. To calculate the arithmetic mean (or simple average), add up all the numbers and divide by their number. Calculate the square root of the arithmetic mean of the squares of these numbers and you will get the mean squared value. The average harmonic and the mean of the geometric is also easy to compute by substitution of the data series in the formula
The formula for calculating the exponential average
A weighted average is calculated when we are dealing with linear combinations. Here, too, there are different algorithms. Often use the average arithmetic weighted average, a geometric weighted average, a harmonic weighted. These values you can calculate using the following formulas:
Formulas for the calculation of the average weighted
Chronological average is used to calculate the average value of the absolute values changing in a certain time interval. To calculate this value, use this formula:
The formula for calculation of the chronological average
In statistics, the most frequent concepts such as mode and median. They are non-parametric averages. Recall that the mode is the most frequently occurring number in the given range, and the median - a characteristic value which will divide the sample into two equal parts "upper" and "lower".
In probability theory , the average value of a random variable is nothing but a mathematical expectation. If you have a discrete distribution, then the mathematical expectation is calculated according to the formula (1), and if continuous, but the formula (2)
Formula for calculating the average value of a random variable
Is the advice useful?