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What are the four numbers have the smallest possible standard deviation?

If all four numbers are the same, there is no standard deviation. The mean will be equal to all 4 numbers, resulting in a 0 standard deviation. Ex) 5,5,5,5


What are the assumptions of standard deviation?

The standard deviation is the standard deviation! Its calculation requires no assumption.


What does the sample standard deviation best estimate?

The standard deviation of the population. the standard deviation of the population.


What is standard deviation of 155.45?

The standard deviation is 0.


If quartile deviation is 24. find mean deviation and standard deviation?

Information is not sufficient to find mean deviation and standard deviation.


What is the relationship between standard deviation and variance?

Standard deviation is the square root of the variance.


What is the difference between standard error of mean and standard deviation of means?

Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.


What is the standard deviation of a standard normal distribution?

The standard deviation in a standard normal distribution is 1.


Is it true that The smaller the standard deviation of a normal curve the higher and narrower the graph?

Yes, that's true. In a normal distribution, a smaller standard deviation indicates that the data points are closer to the mean, resulting in a taller and narrower curve. Conversely, a larger standard deviation leads to a wider and shorter curve, reflecting more variability in the data. Thus, the standard deviation directly affects the shape of the normal distribution graph.


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.


What is the standard deviation of 9?

You need more than one number to calculate a standard deviation, so 9 does not have a standard deviation.


Why do we need the standard deviation?

The standard deviation is a measure of the spread of data.