define standard deviation

Let us define standard deviation

In probability theory and statistics, the standard deviation of a statistical population, a data set, or a probability distribution is the square root of its variance. Standard deviation is a widely used measure of the variability or dispersion, being algebraically more tractable though practically less robust than the expected deviation or average absolute deviation.

The steps for calculating a standard deviation are as follows:

1. Calculate the simple average (mean) of the closing price.

2. For each period, subtract the average final price from the actual final price. This gives us the deviation for both periods.

3. Square each period's deviation.

4. Sum the squared deviations.

5. Divide the sum of the squared deviations by the quantity of periods.

6. The standard deviation is then the same to the square root of that number.

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