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What is Standard Deviation?

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Standard deviation is a measure of dispersion. In finance, it is widely used as measure of volatility of an investment.
The higher the standard deviation of an asset, the more volatile the asset is.

The Standard deviation is simply the square root of the Variance. The Variance is calculated by taking the sum of the differences between the data values and the mean, squaring the result and then dividing it by the number of data points in the population. This formula applies when working with a complete population. In the case of a sample population, you should divide the result by the number of data points in the population minus one.


Objects: What is Standard Deviation?
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Average Stock Standard Deviation by Industry
by QuantShare, uploaded one month ago

Standard deviation is often used as a measure to estimate future moves of an asset such as a stock (volatility). Although, price changes do not have a normal distribution, some technical analysts assume that it is the case and use this assumption to predict future price move. If the price...
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NORMINV - Inverse of the Normal Cumulative Distribution
by QuantShare, uploaded several months ago

NORMINV function is the inverse of the normal cumulative distribution for a specified standard deviation and mean. The normal probability density and the cumulative normal distribution can be calculated using the following function: 1041.

This function finds the z value given the probability that a value or variable is within a...

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NORMDIST - Normal Probability Density Function
by QuantShare, uploaded several months ago

The NORMDIST function is similar to the one available in Excel. Given a set of parameters, this statistical function calculates the normal probability density function or the cumulative normal distribution function.

Here are the different parameters of the NORMDIST function:
X: The function will return the probability of the value "x" occurring.
Mean:...

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Traders Dynamic Index - TDI Indicator
by Caleb, uploaded several months ago

The Traders Dynamic Index uses trend direction, momentum and market volatility to determine market conditions. This indicator uses relative strength index, simple moving average, double exponential moving average and standard deviation to generate five time-series.

The function displays those time-series and returns the TDI or traders dynamic index.
The parameters of...

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Standard Deviation Ratio
by Caleb, uploaded several months ago

Standard Deviation Ratio or SDR is a technical analysis indicator based on two standard deviations; one using a longer period that the other.

The SDR is measured by taking the ratio of the short-term standard deviation (function: SDDEV) to the long-term standard deviation. The ratio tends to stay below level 1;...

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Index of dispersion - Variance-to-Mean Ratio - VMR
by The trader, uploaded several months ago

As with the coefficient of variation, the index of dispersion is a ratio that is used to measure the dispersion of a probability distribution. It tells us whether prices or technical indicator values are dispersed or clustered compared to a standard statistical model.

Index of dispersion, also called dispersion index or...

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Coefficient of Variation - Relative Standard Deviation
by The trader, uploaded several months ago

Coefficient of Variation (CV) is a measure of the dispersion of points/prices around the mean (Dispersion of a probability distribution).

In statistics, the coefficient of variation is also called variation coefficient, unitized risk or relative standard deviation (%RSD). Because its value is normalized and it is a dimensionless number, it is...

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McNicholl Sentiment
by mdmd, uploaded several months ago

Sentiment indicator from Dennis McNicholl's 2002 Book "Taming Complexity in Trading; Beating the Dow 3 to 1"

It uses statistical techniques to make the stock series stationary and then works on looking at the confidence intervals of the moving standard deviation of the smoothed transformed series.

It is best as a very...

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Stocks outperforming the S&P 500 with low volatility
by Tom Huggens, uploaded several months ago

Stocks that outperform the market are more likely to increase in the future that stocks that are lagging and performing worse than the market.

Outperforming stocks carry also higher risk and we should be particularly careful when entering positions in one of these stocks. Many reasons could explain why...

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US Financial Conditions Index
by Caleb, uploaded several months ago

The Bloomberg U.S. Financial Conditions Index is a measure of the number of standard deviations (z-score) the current financial conditions are above or below the average index value for the period of June-1994 to 2008. The index is calculated using yield spreads and indices from the Equity, Bond and Money...
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