This paper reviews graphical and nongraphical procedures for evaluating multivariate normality by guiding the reader through univariate and bivariate procedures that are necessary, but insufficient, indications of a multivariate normal distribution. A data set using three dependent variables for two groups provided by D. George and P. Mallery (1999) is used to analyze histograms, stem-and-leaf plots, box-and-whisker plots, kurtosis and skewness coefficients, Q-Q plots, the Shapiro-Wilk or Kolmogorov-Smirnov statistic, and bivariate scatterplots. A procedure programmed by B. Thompson (1990, 1997) is used to explore multivariate normality by plotting Mahalanobis distances against derived chi-square values in a scatterplot. Four appendixes contain Statistical Package for the Social Sciences (SPSS) commands for two study groups, the SPSS syntax for evaluating univariate and bivariate normality, and SPSS commands for a new dependent variable. (Contains 2 tables, 17 figures, and 39 references.) (Author/SLD)