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An observation that is exceptionally small or exceptionally large in relation to other observations. The term exceptionally may be defined in terms of the median and range of the observations.

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What are outliers in math?

A bit of data that is very distant from the normal distribution of data and its mean. An unusual value.


Disadvantages of the mean in statistics?

the mean is affected by outliers


What is most sensitive to outliers in statistics?

Mean.


Why is the mean the best to use for outliers?

just cuz


Is absolute mean deviation affected by outliers?

Yes.


Is the mean a better measure of location when there are no outliers?

Yes, the mean is generally a better measure of central tendency when there are no outliers, as it takes into account all values in the dataset and provides a mathematically precise average. In the absence of outliers, the mean reflects the true center of the data distribution effectively. However, in the presence of outliers, the median might be preferred since it is less affected by extreme values.


What is the effect of extreme value on mean?

Outliers pull the mean in the direction of the outlier.


How does the outlier affect the mean and median?

The mean is better than the median when there are outliers.


What are the limits on outliers?

there are no limits to outliers there are no limits to outliers


Which measure of central tendency is robust when outliers are present?

mean


How can you determine which measure of central tendency is best for the set if data?

Mean- If there are no outliers. A really low number or really high number will mess up the mean. Median- If there are outliers. The outliers will not mess up the median. Mode- If the most of one number is centrally located in the data. :)


What are the measurements that fall beyond three standard deviations from the mean?

They are observations with a low likelihood of occurrence. They may be called outliers but there is no agreed definition for outliers.