# How to Calculate Standard Deviation if Variance Is Negative

## Negative Variance Means You Have Made an Error

As a result of its calculation and mathematical meaning, variance can never be negative, because it is the average squared deviation from the mean and:

• Anything squared is never negative.
• Average of non-negative numbers can’t be negative either.

Therefore, if you have negative variance and you are wondering how to calculate standard deviation from it, first look at how you have got the negative variance in the first place. You (or the person who has calculated the variance) have made a mistake somewhere.

For example, a common mistake is that you forget to square the deviations from the mean (and that would result in a possibly negative variance).

There is simply no chance that variance can be negative if calculated correctly.

## Related pages

price weighted index formulawhat is a price weighted indexsharpe theoryimplied vol calculatorsummation x squaredwhat does rsi mean in stocksgeometric averagesoption pricing calculator black scholesarbitrage fund meaningcost accounting formulasvix option chaincfe vixblack scholes put formulaannualized standard deviation of monthly returnsnotional value optionsmsft yhoohow to read the vixvariance and covariance formularsi valuesskewness definition2x etf listvix futures pricingshorting putsweighted average inventory costing methodexplain kurtosisetf vixblack scholes vega formulasharpe measureoversold definitionstatistics variance calculatorvix xivhow to read vix indexmacd valueswhat is the formula for variance in excelindicative price meaningfutures roll datesformula for calculating average in excelstock calculation in excelhow do you calculate sample varianceexplanation of quantitative easingwilder rsicalculating skewcalculating emaoption trading booksoptions long straddleoption pricing greeksdelta hedgingoption theta calculatorvix index definitionblack scholes calculatorfinding standard deviation calculatorpricing spreadsheetfloat adjusted market capitalizationcalculating probability in excelstraddle strategy exampleavatagestandard deviation in mathswhat is the wacc formulaoptions futures and other derivatives 8thstandard deviation of returns calculatorinterpreting kurtosisauc unitwhat is coefficient of skewnesscalculating kurtosisputs and calls for dummiespayoff of a call optioncfe vix futuresshort vixapple stock closing price historyyahoo finance spreadsheetskewness factor