Yes - but the distribution is not a normal distribution - this can happen with a distribution that has a very long tail.
In the same way that you calculate mean and median that are greater than the standard deviation!
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
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.
No, not all t-distributions have a mean of zero and a standard deviation of one. The t-distribution is centered at zero, meaning its mean is indeed zero. However, its standard deviation varies depending on the degrees of freedom; it is greater than one for small degrees of freedom and approaches one as the degrees of freedom increase.
There is no such thing. The standard error can be calculated for a sample of any size greater than 1.
Standard deviation can be greater than the mean.
It does not indicate anything if the mean is greater than the standard deviation.
In general, a mean can be greater or less than the standard deviation.
In the same way that you calculate mean and median that are greater than the standard deviation!
Yes; the standard deviation is the square root of the mean, so it will always be larger.
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.
The standard deviation must be greater than or equal to zero.
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.
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
Yes, the coefficient of variation (CV) can be greater than 100%. The CV is calculated as the ratio of the standard deviation to the mean, expressed as a percentage. If the standard deviation is greater than the mean, which can occur in certain datasets, the CV will exceed 100%, indicating high relative variability compared to the average value.
No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.
It is the value that is one standard deviation greater than the mean of a Normal (Gaussian) distribution.