Arranging the given data in ascending order, we have
14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 17, 18, 19, 19, 20
Mode is the value of observation which occurs most frequently in a set of observations.
It can be seen that the value 15 occurs maximum number of times i.e. 5.
Thus, the mode of given data is 15.
Hence, the correct answer is option (b).