Dither Variance

Problem

Return the variance of uniform dither distributed on [-step/2, step/2]:

var = step^2 / 12

Hint

This matches the quantization error variance of a uniform quantizer.

case 1

in: [1]

expected: 0.08333333333333333

case 2

in: [2]

expected: 0.3333333333333333

case 3

in: [0.5]

expected: 0.020833333333333332

case 4

in: [6]

expected: 3

Starter codePython

def dither_variance(step):
    # Your code here
    pass

4 test cases · run your code against them in the editor