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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).
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 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.
How are outliers of a data set related to the whiskers of its box plot?
Outliers on a modified box plot will be noted away from the ends of the whiskers, as they are not considered part of the range, due to the fact that they are so different from the rest of the data. In a regular box plot, the lowest value, whether it is an outlier or not, will be the beginning of the 1st whisker, the highest value, whether an outlier or not will be the end of the 2nd whisker.
How The first quartile of a data set is 23 the median is 30 the third quartile is 33 and an outlier is 50. Which of these data values would be represented by a point in a modified box plot?
It is the outlier.
Is the range affected by the outlier?
Yes, the range is affected by outliers because it is calculated as the difference between the maximum and minimum values in a dataset. An outlier can significantly increase the maximum value or decrease the minimum value, thereby expanding the range. Consequently, even a single outlier can distort the perception of variability within the data.
A value separated from the rest of the data?
outlier
Explain the difference between the range and the outlier?
Range is the largest minus the smallest value in the data set. An outlier is a value that is far away from the majority of the data.
What is a data value that stands out from the other data values in the set?
An outlier
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).
What is an extreme value within a data set?
Outlier
What is the term for a value separated from the rest of the data?
A value separated from the rest of the data is called an outlier
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.
A data value that is much higher or lower than any other data values in a set?
the data value that is much higher or lower than the other data given is called an outlier
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 data value that is much lower or higher than the other data in a set?
It may be an outlier.
What is the value that is not typical of most other values in a data set?
The value that is not typical of most other values in a data set is an Outlier.
