When I iterate through a list and added them, It gave me a weird sum

a= [8, 12, 11, 15, 12, 2, 16, 3, 6, 19]
mean_a = sum(a)/len(a)
b = list(map(lambda x: x-mean_a, a))

tot = 0
for i in b:
    tot+=i
print(tot**2)

#it gave me this weird answer: 1.262177448353619e-29

>Solution :

I’m assuming you’re expecting 0? If so, this is just another case of a floating-point precision error, as floating point numbers are processed by computers in base 2 fractions. The answer is effectively 0; you can round to a certain number of decimal places to get this answer.

sum(a) = 104
len(a) = 10
    
mean_a = 10.4

b = [-2.4000000000000004, 1.5999999999999996, 0.5999999999999996, 4.6, 1.5999999999999996, -8.4, 5.6, -7.4, -4.4, 8.6]

sum(b) = -3.552713678800501e-15

sum(b)**2 = 1.262177448353619e-29

The floating point error occurs twice; when you create b, and when you sum its values.