Exotic stats problem ; mode, fuzzy clusters, etc

[Vysero]

what I essentially need
is to find out how to perform this kind of function on approximate numbers that are with a
range of say +,- 10 values difference but also allows for decimal values

If you have a range of decimal values which are acceptable then I would suggest you round them:

from statistics import mode
new_list = []

x = [12,11,10.4,12,10.3,10.4,15]

for y in x:
  new_list.append(round(y))

print('new_list = ', new_list, 'mode of new_list = ', mode(new_list))

Output:

new_list = [12, 11, 10, 12, 10, 10, 15] mode of new_list = 10

Is that acceptable or must you keep the decimal values?