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What else can I help you with?
Is it possible that the standard deviation is less than one?
Yes, a standard deviation can be less than one.
Can the mean be less than the standard deviation?
In general, a mean can be greater or less than the standard deviation.
Why the value of relative standard deviation should be less than 2?
There is no reason for that to happen.
Can standard deviation value be bigger than maximum and minimum value?
No standard deviation can not be bigger than maximum and minimum values.
Is mean deviation less than standard deviation?
Yes, the mean deviation is typically less than or equal to the standard deviation for a given dataset. The mean deviation measures the average absolute deviations from the mean, while the standard deviation takes into account the squared deviations, which can amplify the effect of outliers. Consequently, the standard deviation is usually greater than or equal to the mean deviation, but they can be equal in certain cases, such as when all data points are identical.
Sample standard deviation?
Standard deviation in statistics refers to how much deviation there is from the average or mean value. Sample deviation refers to the data that was collected from a smaller pool than the population.
Can the Variance ever be smaller than standard deviation?
Yes. If the variance is less than 1, the standard deviation will be greater that the variance. For example, if the variance is 0.5, the standard deviation is sqrt(0.5) or 0.707.
Why is the standard error a smaller numerical value compared to the standard deviation?
Let sigma = standard deviation. Standard error (of the sample mean) = sigma / square root of (n), where n is the sample size. Since you are dividing the standard deviation by a positive number greater than 1, the standard error is always smaller than the standard deviation.
Can the value for the standard deviation be larger than the value for the rqange?
Yes, the standard deviation can be larger than the range in certain situations. The range is calculated as the difference between the maximum and minimum values in a dataset, while the standard deviation measures the spread of the data around the mean. If the data points are widely dispersed with a few extreme values, the standard deviation can exceed the range, especially in small datasets.
How do you know if a z score is positive or negative?
A negative Z-Score corresponds to a negative standard deviation, i.e. an observation that is less than the mean, when the standard deviation is normalized so that the standard deviation is zero when the mean is zero.
Can standard deviation be greater than mean?
Standard deviation can be greater than the mean.
Can Standard Deviation be greater than 100?
Yes. It can have any non-negative value.
