The mean is affected the most by an outlier.
Yes.Yes.Yes.Yes.
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.
The outlier is the value that is really far off, for example say you had playing times of songs and most songs were 2 - 4 minutes, but one was 17 minutes, then this would be your outlier. I Hope this helps!
coefficient of variation
The mean is affected the most by an outlier.
The range.
The mean is "pushed" in the direction of the outlier. The standard deviation increases.
Yes.Yes.Yes.Yes.
The median is least affected by an extreme outlier. Mean and standard deviation ARE affected by extreme outliers.
the most common cause of an outlier is an error in the recording of 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.
The answer is outlier
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.
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.
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).
The outlier 57 affects the measure of central tendency by increasing the numbers and making the problems difficult.