You can use a graphical Probability Plot or a statistical test like the Anderson-Darling test and use the p-value to test whether your data is non-normal.

Properties of P-P and Q-Q probability plots for visually assessing the fit of probability models are reviewed. It is shown how to construct families of curves for standardized P-P plots, which are ...

When you request a lognormal probability plot, you must specify the shape parameter for the lognormal distribution (see Table 9.13 for the equation). The value of must be positive, and typical values ...

This paper introduces the normal probability plot correlation coefficient as a test statistic in complete samples for the composite hypothesis of normality. The proposed test statistic is conceptually ...