Question

As the sample size _____, the standard deviation of the population of all sample means decreases.

Answer 1

As the sample size "decreases", the standard deviation of the population of all sample means decreases.

What is standard deviation?

Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.

Some key features regarding the standard deviation are-

• The more the standard deviation of a security, the greater the variance among each price and the mean, indicating a wider price range.
• A volatile stock, for example, does have a large standard deviation, whereas a stable blue-chip stock has a low deviation.
• A square root of value deduced from correlating data points to a population's collective mean is used to calculate standard deviation.

The formula is as follows:

​ Standard Deviation = $\sqrt{\frac{\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}}{n-1}}$

Where;

$x_{i}$ is the ith point of the data.

$\bar{x}$ is the mean value

n is the number of data points

Standard deviation is a valuable tool in trading and investment strategies because it helps quantify market and security volatility—as well as forecast performance trends.

To know more about the standard deviation, here

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