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If an outlier is included with a sample of 50 values all of which are the same what is the effect of the outlier on the mean?

By definition, an outlier will not have the same value as other data points in the dataset. So, the correct question is "What is the effect of an outlier on a dataset's mean." The answer is that the outlier moves the mean away from the value of the other 49 identical values. If the outlier is the "high tail" the mean is moved to a higher value. If the outlier is a "low tail" the mean is moved to a lower value.


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 much does the outlier decrease the answer by?

To determine how much an outlier decreases the answer, you need to compare the statistical measure before and after including the outlier. For example, if the mean of a dataset is 50 without the outlier and drops to 40 with the outlier included, the outlier decreases the answer by 10. The specific impact of an outlier can vary significantly depending on its value relative to the rest of the data.


A data value much higher or lower than the other data in a set is called?

It's called an outlier


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.

Related Questions

An extreme value in a set is called what?

An outlier (mathematics/statistics), or radical value (sociology).


If an outlier is included with a sample of 50 values all of which are the same what is the effect of the outlier on the mean?

By definition, an outlier will not have the same value as other data points in the dataset. So, the correct question is "What is the effect of an outlier on a dataset's mean." The answer is that the outlier moves the mean away from the value of the other 49 identical values. If the outlier is the "high tail" the mean is moved to a higher value. If the outlier is a "low tail" the mean is moved to a lower value.


What is a larger number or amount called?

An outlier


Extremely high or low values in a data set are called?

Outlier


Is Median an outlier?

No, median is not an outlier.


Can a outlier be zero?

0s are not the outlier values


What is a data point called that stands out away from all of the rest of the data?

An outlier


A data value that is much higher or lower than the other data in a set is called what?

it is called an outlier


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.


Is 101 a outlier?

No. A single observation can never be an outlier.


A data value much higher or lower than the other data in a set is called?

It's called an outlier


What is the smallest value in a box-and-whiskers plot called?

The minimum - or outlier-adjusted minimum.