The given information isn’t constant.
Thus, we deduct 0.5 from as far as possible and add 0.5 in the maximum furthest reaches of each class.
Class Class Marks (xi) Frequency (fi) fixi
3.5 – 7.5 5.5 5 27.5
7.5 – 11.5 9.5 4 38
11.5 – 15.5 13.5 9 121.5
15.5 – 19.5 17.5 10 175
Mean,
Accordingly, mean of the given information = 12.93.