 # Standard deviation

## Standard deviation,

### Definition of Standard deviation:

1. Marketing: Measure of the difference between an average (arithmetic mean) and the individual values included in the average, such as the variation between the response to the same advertisement in different media vehicles.

2. A quantity calculated to indicate the extent of deviation for a group as a whole.

3. Investment: Measure of the variability (volatility) of a security, derived from the securitys historical returns, and used in determining the range of possible future returns. The higher the standard deviation, the greater the potential for volatility.

4. Statistics: Measure of the unpredictability of a random variable, expressed as the average deviation of a set of data from its arithmetic mean and computed as the positive square root of the variance. Customarily represented by the lower-case Greek letter sigma (s), it is considered the most useful and important measure of dispersion which has all the essential properties of the variance plus the advantage of being determined in the same units as those of the original data. Also called root mean square (RMS) deviation.

### Synonyms of Standard deviation

Allowance, Approximation, Deviation, Frequency curve, Frequency distribution, Game theory, Imprecision, Inaccuracy, Inaccurateness, Incorrectness, Inexactitude, Inexactness, Laxity, Looseness, Mathematical probability, Negligence, Operations research, Predictability, Predictable error, Probability theory, Probable error, Quantum mechanics, Statistical mechanics, Statistical probability, Statistics, Tolerance, Uncertainty principle, Uncorrectness, Unfactualness, Unpreciseness, Unrigorousness

### How to use Standard deviation in a sentence?

1. In a bell curve, the most expected values are considered to be those that are one standard deviation away from the mean.
2. Susan tried to find a new investment for her portfolio that had a low standard deviation , one that would not worry her by increasing and decreasing in price rapidly.
3. Average values and standard deviations were then calculated for each of the compounds in the experiment.
4. I tend to avoid investing in stocks whose prices are characterized by a high standard deviation because I prefer to invest in lower risk entities with lesser volatility.

Meaning of Standard deviation & Standard deviation Definition