It is helpful to put the 14 data values in order:
... 65, 72, 74, 75, 75, 75, 86, 89, 93, 95, 95, 96, 97, 100
Because there are an even number of data values, the median is the average of the middle two values. Those are 86 and 89, so the median is (86+89)/2 = 87.5
This in-order sequence of values also helps us identify any repeated values. All values are present only once, except 75, which is present 3 times. The value present the largest number of times is the mode. The mode is 75.
