A company is analyzing the performance of two different departments regarding project completion times. The mean project completion time for Department A is 20 days with a variance of 16 days squared, while Department B has a mean completion time of 25 days with a variance of 25 days squared.
If variance measures the spread or dispersion of data points from the mean, which department shows more consistency in their project completion times, and why?
a) Department A, because it has a smaller variance indicating less variability
b) Department B, because it has a smaller variance indicating less variability
c) Department A, because it has a larger variance indicating more variability
d) Department B, because it has a larger variance indicating more variability