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No. Mean absolute deviation is usually greater than 0. It is 0 only if all the values are exactly the same - in which case there is no point in calculating a deviation!

The average deviation is always (by definition) = 0

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Q: Is mean absolute deviation and average deviation are the same?
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Continue Learning about Other Math

Is the expected value the same as the standard deviation?

No. The expected value is the mean!


Is standard deviation the arithmetic mean of the squared deviations from the means?

No. Standard deviation is the square root of the mean of the squared deviations from the mean. Also, if the mean of the data is determined by the same process as the deviation from the mean, then you loose one degree of freedom, and the divisor in the calculation should be N-1, instead of just N.


Which two math terms means about the same median ratio mean average?

Mean and average are the same.


What are the units of measurement of standard deviation?

Standard deviation has the same unit as the data set unit.


What determines the standard deviation to be high?

Standard deviation is a measure of the scatter or dispersion of the data. Two sets of data can have the same mean, but different standard deviations. The dataset with the higher standard deviation will generally have values that are more scattered. We generally look at the standard deviation in relation to the mean. If the standard deviation is much smaller than the mean, we may consider that the data has low dipersion. If the standard deviation is much higher than the mean, it may indicate the dataset has high dispersion A second cause is an outlier, a value that is very different from the data. Sometimes it is a mistake. I will give you an example. Suppose I am measuring people's height, and I record all data in meters, except on height which I record in millimeters- 1000 times higher. This may cause an erroneous mean and standard deviation to be calculated.