How to interpret standard deviation of samples with different means?

Question

Let be two samples collections A and B. Mean of the first is 5 and the second is 15. Standard deviation of the first is 2 and the second is 5. Can we conclude something even though the two datasets have a different mean ? Can we consider the ratio (standard deviation / mean) and conclude that A (0.4) is more widespread than B (0.33) ?

Answer 1

Yes, you are correct. What you just calculated is called the Coefficient of Variation. Good job!