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Q: Why is the mean most affected most by an outlier?
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Between Mean Median and Mode which are affected most by an outlier?

The mean is affected the most by an outlier.


Which measure is most affected by an outlier?

mean


How are the mean and standard deviation affected by an outlier?

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


Is the mean affected by a low outlier?

Yes.Yes.Yes.Yes.


Which of the following is least affected if an extreme high outlier is added to your data mean median or standard deviation or ALL?

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


How does the outlier affect the mean of the data?

An outlier does affect the mean of the data. How it's affected depends on how many data points there are, how far from the data the outlier is, whether it is greater than the mean (increases mean) or less than the mean (decreases the mean).


How would the outlier affect the mean and median of the data?

An outlier will pull the mean and median towards itself. The extent to which the mean is affected will depend on the number of observations as well as the magnitude of the outlier. The median will change by a half-step.


What is the value of a data set most likely to be affected by an outlier?

The range.


What does the outlier affect the most out of mean median and mode?

The mean. Or the mode.


What would happen if a outlier was removed from the mean?

The answer depends on the nature of the outlier. Removing a very small outlier will increase the mean while removing a large outlier will reduce the mean.


Would a mean be smaller or larger if you leave out an outlier?

Depends on whether the outlier was too small or too large. If the outlier was too small, the mean without the outlier would be larger. Conversely, if the outlier was too large, the mean without the outlier would be smaller.


How do you determine how the outlier affects the mean median mode and range?

Calculate the mean, median, and range with the outlier, and then again without the outlier. Then find the difference. Mode will be unaffected by an outlier.