Let's say the data set is:
a, b, c, d, e, f, g, 61, h, i, j, k, l, m, n
If we add another number,
a, b, c, d, e, f, g, 61, h, i, j, k, l, m, n, o
You can see the median changes. So adding another number would change the median.
Hope this helped! Please comment or DM me if you have anymore questions or don't understand :)