QUESTION IMAGE
Question
- an outlier will usually have a large effect on the
(a) first quartile
(b) mean
(c) third quartile
(d) median
(e) sample size
The mean is calculated by summing all data points and dividing by the number of data points. An outlier (a data point that is extremely different from the others) will affect the sum, thus having a large impact on the mean. Quartiles (first and third) and the median are based on the position of data points in an ordered list and are less affected by a single extreme value. The sample size is just the number of data points and is not affected by the value of an outlier.
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B. mean