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Q: Which measure is most affected 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.


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

The range.


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 do you get an outlier?

the most common cause of an outlier is an error in the recording of data.


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 a common term used to mean a measure of central tendency?

The answer is outlier


How does the outlier affect the median?

An outlier can significantly impact the median by pulling it towards the extreme value of the outlier, especially when the dataset is small. This can distort the central tendency measure that the median represents and provide a misleading representation of the typical value in the dataset.


What is an outlier and what central tendency is affected always by an outlier?

An outlier is a number in a data set that is not around all the other numbers in the data. It will always affect the average; sometimes raising the average to a number higher than it should be, or lowering the average to something not reasonable. Example: Data Set - 2,2,3,5,6,1,4,9,31 Obviously 31 is the outlier. If you were to average these numbers it would be something greater than most of the numbers in your set due to the 31.


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 57 affect the measures of central tendency?

The outlier 57 affects the measure of central tendency by increasing the numbers and making the problems difficult.