statistics - large mean difference but similar standard deviation

Question

I have three independent variable conditions with 14 participants per group. Here are descriptive statistics:

 

Group A: Mean .93, SD .62, Median 1, Mode 1

Group B: Mean .50, SD .76, Median 0, Mode 0

Group C: Mean .29, SD .61, Median 0, Mode 0

 

Through a Kruskal-Wallis H test, I found that the difference between Group A and Group C is statistically significant. I'd like to discuss the descriptive stats first, though. It's interesting that the Group A mean is more than 3 times the mean of Group C, but their standard deviations are nearly equal. Can you help me to figure out what that means?

 

Thank you!!!

Answer 1

The simplest picture that fits your data is that the probability distribution for Group A's population is the same shape as the probability distribution for Group C's population, but slid to the right by (0.93-0.29).