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Yes, it can. This happens when all of the observations are equal. This can also happen when some values are negative and some are positive (assuming that the variable under consideration can assume negative values).

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13y ago

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What does it mean to have a sample with a standard deviation of zero?

A sample with a standard deviation of zero indicates that all the values in that sample are identical; there is no variation among them. This means that every observation is the same, resulting in no spread or dispersion in the data. Consequently, the mean of the sample will equal the individual values, as there is no deviation from that mean.


As the sample size increase the difference between the sample mean and the population mean approaches what?

Zero


What does it mean for a sample to have a standard deviation of zero?

It means that there are is no variation from the mean. In other words, all values in your sample are identical.


Is the sum of deviations from the mean equal to zero in symmetrical distributions?

It is equal to zero in ALL distributions.


What do you mean by a function identically equal to zero?

A polynomial is identically equal to zero if and only if all of its coefficients are equal to zero. eg. The power series on the left is identically equal to zero, consequently all of its coefficients are equal to 0:


Why is the sample mean an unbiased estimator of the population mean?

The sample mean is an unbiased estimator of the population mean because the average of all the possible sample means of size n is equal to the population mean.


What would it mean If the sampling error was zero?

The sample consisted of the entire population.


What does the sum of the deviations from the mean equal?

Zero.


What does zero property for mutiplication mean?

That refers to the fact that any number multiplied by zero is equal to zero.


True or false a distribution of sample means is normally distributed with a mean equal to the population mean and standard deviation equal to the standard error of the mean?

True.


Why does 00 equals 1?

If you mean zero to the power zero, it isn't equal to 1. Every other value to the power zero is.


Is zero less than or equal to zero?

Zero is equal to zero