Q: How does the outlier effect the mean absolute deviation?

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None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0

You calculate the mean.For each observation, you calculate its deviation from the mean.Convert the deviation to absolute deviation.Calculate the mean of these absolute deviations.

The range and mean absolute deviation are: Range = 29 Mean absolute deviation = 8.8

no the standard deviation is not equal to mean of absolute distance from the mean

interquartile range or mean absolute deviation.

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The mean is "pushed" in the direction of the outlier. The standard deviation increases.

None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0

The mean absolute deviation of this problem is 6.

The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.

The mean absolute deviation is 28.5

You calculate the mean.For each observation, you calculate its deviation from the mean.Convert the deviation to absolute deviation.Calculate the mean of these absolute deviations.

Mean Absolute Deviation

The range and mean absolute deviation are: Range = 29 Mean absolute deviation = 8.8

no the standard deviation is not equal to mean of absolute distance from the mean

interquartile range or mean absolute deviation.

If I have understood the question correctly, despite your challenging spelling, the standard deviation is the square root of the average of the squared deviations while the mean absolute deviation is the average of the deviation. One consequence of this difference is that a large deviation affects the standard deviation more than it affects the mean absolute deviation.

The mean deviation of any set of numbers is always zero and so the absolute mean deviation is also always zero.