In an asymmetric data, the distribution is highly skewed. When this occurs, mean and standard deviation may not be good measures of central tendency and dispersion respectively. By this, inferential analyses become problematic. You can use alpha 3 measure of skeweness as:
α3 = Σ (x – x)3 / n X sd3 (pls note that the second x of the formula in the bracket is x-bar: mean value and figure 3 is superscript)
Preferably, you can normalize your data by computing a new variable based on the square roots of the original (Skewed) data. You can do this by Box Cox technique and Statistical Analysis Software or by data transform in SPSS.
If you wish to continue with the non-normal distribution, you can use Minitab software package.