yes
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No. If you have a small, even number of observations, the median is the average of the two middle values. This will usually NOT be part of the data set.
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No.
No, it is not necessarily true that the median is always one of the data points in a set of data. The median is found by arranging the data in numerical order and selecting the middle value. This value might be one of the data points, but it could also be the average of two data points if there is an even number of values in the set.
Median
the midpoint of the data set
it is the median