Is this true or false? yes i'm aware this is the third true or false question i asked so no need to wine?

In large data sets ( 1,000 or more values), the mean is always one of the data values.Is this true or false? yes i'm aware this is the third true or false question i asked so no need to wine?
False.





The key word in the question is 'always'. If there is any probability of a different answer, no matter how small, then it can not be 'always'.Is this true or false? yes i'm aware this is the third true or false question i asked so no need to wine?
Only if data set is infinite...otherwise probability rises as number of data item rises
in a truly random, reali life set of data, it is higly probable that the mean would be one of the data values. the larger the set, the bigger is the chance.


This might even be true for a set as small as 1 data value, for which the mean is ALWAYS equal to the data value.
the probability is very high so its almost always true
False. It is quite possible that the mean is not one of the values. For instance if a data set contained 5,000 values within 5 of 60 and 5,000 within 5 of 100, the mean would be near 80 and would not coincide with any of the data values.
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