The calculations, distances, and volumes are correct however, the distortion is due to the z-exaggeration when visualizing the result. It is possible your 3D result may appear egg-shaped instead of the expected sphere. Be sure that you are running the analysis in a Scene or copy the result layer into a Scene for correct visualization of your analysis results. Since these results are 3D in nature, they will need to be visualized in a Scene. This tool honors the 3D nature of your point data and will use x-, y-, and z-values in its calculations if z-values are available. The attribute value for each circle polygon or sphere multipatch is its standard distance value. Each circle polygon or sphere multipatch is drawn with a radius equal to the standard distance. The Standard Distance tool creates a new feature class containing a circle polygon or sphere multipatch centered on the mean for each case. The standard distance is a useful statistic as it provides a single summary measure of feature distribution around their center (similar to the way a standard deviation measures the distribution of data values around the statistical mean).
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