Symmetric or not?

I know that when the mean and the median is close in values to each other, the distribution will be symmetric. But how close should they be? I have a mean of 62.94 and a median of 61.50. I would assume that the shape would be symmetric. But I look at the skewness and the kurtosis and they are 1.409 and 4.540 respectively. From the skewness data, it looks like a positive skew. Please clarify. Thank you!


TS Contributor
In order for the distribution to be symmetric, the mean and median need to be exactly the same.

The distribution you describe has a slight positive skew.