Is the sample standard deviation "s" a resistant measure?
I'm not a statistician, but my understanding is that measures of dispersion can be resistant to outliers or not, as well as measures of central tendency (any descriptive statistic can be resistant or not). Moreover,
I think the distinction between population standard deviation and sample standard deviation is irrelevant for this question. We could be talking about either kind (
Just take an example data set.: 2, 7, 4, 3, 14, 5, 8, 11, 13, 9, 11
The mean is about 7.91,
If we decide to increase the biggest number, 14, to 1000 (let's go ahead and be extreme), the mean increases to 97.55,
On the other hand, the first quartile, median, third quartile, and interquartile range are unaffected.