Word for a “qualitative statistical property”

For example, the "center" of a distribution is a ___

The sample mean is a measure of "center", and thus is not a ___

There are many measures of spread, e.g biased sample variance, biased sample standard deviation, IQR, etc.

Other ___ include skewness and kurtosis.

• I don't understand what distinction you are trying to make. How can it be a statistical property if it isn't measured? – jxh Aug 2 '18 at 18:24
• @jxh For example, center is a qualitative statistical property. It's roughly defined as "a value commonly seen" in a distribution, or "an expected value" of a distribution, but importantly, it has no description of exactly how to measure it. See en.wikipedia.org/wiki/Central_tendency. In that article, it also gives various measures of center: the arithmetic mean, the median, etc. Thus, there exists a very clear distinction between a vague statistical property, and a particular measure of that property. – extremeaxe5 Aug 2 '18 at 19:39
• Qualitative means that it is a non-statistical non-property. It is just a descriptor being applied to a system that also happens to be amenable to statistical analysis. – Phil Sweet Aug 2 '18 at 21:30
• Statistical distributions are models or theories proposed to describe facts about sets of observations. A distribution is characterized by certain parameters, such as the mean of a normal distribution. In fitting a distribution to facts, for instance, one might calculate an average in order to estimate the mean of the distribution. When an average serves this purpose, it is referred to as the "sample mean". – Greg Lee Aug 2 '18 at 22:08
• Looking at this a bit more, descriptor might work as an answer. It shows up in the definition of Kurtosis, which is a measure of "tailedness". But I wouldn't consider any of your terms a property. They are concepts with which to compared things. The comparisons can be qualitative or quantitative. – Phil Sweet Aug 3 '18 at 2:40