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Question
which is more affected by extreme observations, the mean or median? and how about the standard deviation or iqr?
mean, standard deviation
mean, iqr
median, standard deviation
median, iqr
The mean is the sum of all values divided by the number of values. Extreme values directly affect this sum and thus the mean. The median is the middle - value when data is ordered, so extreme values on either end do not change it. Standard deviation measures the spread around the mean and is affected by extreme values as they increase the overall spread. The inter - quartile range (IQR) is the difference between the third and first quartiles and focuses on the middle 50% of data, so extreme values do not impact it.
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A. mean, standard deviation