Yes.
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
no the standard deviation is not equal to mean of absolute distance from the mean
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.
it is possible to distribute standard deviation and mean but you dont have to understand how the mouse runs up the clock hicorky dickory dock.
The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.
Without more information, it isn't possible to determine the standard deviation from the mean alone.
A standard deviation of zero means that all the data points are the same value.
True.
Information is not sufficient to find mean deviation and standard deviation.
One standard deviation
Yes.
The mean, median, and mode of a normal distribution are equal; in this case, 22. The standard deviation has no bearing on this question.