Check Normality

Write a function that checks if a list of integers is normally distributed.

Specifically, given a list of 100 numbers, write a function that returns a score that measures the deviation from normality. I.E., a normally distributed list of integers would return 0. Use What is called the 68-95-99.7 rule of thumb for normal distributions.*

Note: Because this question can be completed in many different ways, no test cases are provided. However, please make sure to share your solution in the comments below!

Bonus: Don’t use any graphical output or a statistical test for normality.