A median has a midpoint as an endpoint. (Always/Never/Sometimes)?

Answer 1

Talking geometry. Median is a line segment joining a vertex of a triangle to the midpoint of the opposite side.

So, as it is a segment YES it has a midpoint and an endpoint ALWAYS.

Answer 2

The median you are talking about is the median of a polygon. This shouldn't be confused with the term median referring to the "middle" of a group of numbers -- as in statistics.

If you are asking about a median for a triangle then the answer is always. By definition the median of a triangle is a segment that connects a vertex to the midpoint of the opposite side of the triangle.

If you are talking the median of a trapezoid, again the answer is always. A median for a trapezoid connects the midpoints of the nonparallel sides.

Answer 3

That's a poorly worder question, but I suppose what you mean to ask is: Can a median be at the endpoint of a distribution?

The answer is yes, it can (sometimes) in the unusual circumstance that over half the probability in the distribution is sitting on an endpoint.

To give a real life example, I once took a math test with a median result of zero. Over half the test-takers got no credit whatsoever.

Answer 4

By definition of a median, it bisects the opposite side. So in triangle ABC, if AD is a median, D bisects BC. So D would be the midpoint of BC.

The answer is ALWAYS.

Answer 5

Assuming you mean

Can the median of a distribution be the endpoint also?

Sometimes.

Answer 6

the edian is the middle number of a list of #s in order from least to greatest

Answer 7

Never

Answer 8

yes always

Answer 9

always