Trimmed Variance

Problem

Return the population variance of the data after removing the k smallest and k largest values. Return 0.0 when data is empty or 2*k >= n. With k = 0 this is the ordinary population variance.

Hint

Sort, trim both tails, then average squared deviations.

Test cases

case 1

in: [[1,2,3,4,5,100],1]

expected: 1.25

case 2

in: [[1,2,3,4,5],0]

expected: 2

case 3

in: [[1,2,3,4],1]

expected: 0.25

case 4

in: [[1,2],1]

expected: 0

case 5

in: [[],0]

expected: 0

Starter codePython

def trimmed_variance(data, k):
    # Your code here
    pass

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