Hello!
To find the mean, we will first want to order all of the numbers from least to greatest.
65, 72, 74, 75, 75, 75,86, 89,93,95, 95, 96,97, 100
Now we need to find the middle number. As there are 14, we find the mean of the two middle numbers.
86+89=175
175/2=87.5
Now we find our mode. This is the number that appears the most in the data set. As you can see, 75 appears 3 times.
Therefore, our mode is 75.
Our median is 87.5, and our mode is 75.
I hope this helps!