If the mean is less than or equal to zero, it means there has been a serious calculation error.
If the mean is greater than zero and the distribution is Gaussian (standard normal), it means that there is an 84.1% chance that the value of a randomly variable will be positive.
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In general, a mean can be greater or less than the standard deviation.
No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.
No.
Yes; the standard deviation is the square root of the mean, so it will always be larger.
probability is 43.3%