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Standard deviation, variance, arithmetic mean - calculator

With this statistical calculator You can easily calculate standard deviation, variance of standard deviation, population standard deviation, variance of population standard deviation and arithmetic mean. With this data analysis tool, you will see the calculations performed step by step along with the formulas used.

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Standard deviation, variance, arithmetic mean

Short information

Standard deviation - classic measure of volatility, next to the arithmetic mean the most frequently used statistical concept.
Intuitively, standard deviation tells you how widely the values of a quantity (such as age, inflation, stock price, etc.) are scattered around its mean. The smaller the deviation value, the more the observations are focused around the mean. Standard deviation is the square root of the variance.
The concept of standard deviation was introduced by the pioneer of statistics, Karl Pearson, in 1894.
Stands out:
- standard deviation of a random variable , which is a property of the studied phenomenon. It can be calculated on the basis of precise information about the distribution of a random variable. This distribution is usually unknown in practical research.
- the population standard deviation is a number that can be calculated accurately if the values of the variable for all objects in the population were known; corresponds to the deviation of a random variable whose distribution is identical to the distribution in the population.
- standard deviation from the sample is an estimate of the standard deviation in the population based on the knowledge of only some of its objects, i.e. random sample. The formulas used for this purpose are called standard deviation estimators.

Variance is the classic measure of variability in statistics. Intuitively identified with the diversity of the population; is the arithmetic mean of the squared deviations (differences) of individual feature values from the expected value.

The arithmetic mean of a set of numbers is calculated by adding together all the numbers in that set, and then dividing the obtained sum by the number of numbers in that set.

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Standard deviation, variance, arithmetic mean - calculator

Standard deviation, variance, arithmetic mean

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