Recently due to the advance of image scanning technology, hyperspectral image scanners which have tens or even hundreds spectral bands have been developed. Comparing to the traditional multispectral images, hyperspectral images have richer and finer spectral information than the images we can obtain before. Theoretically, using hyperspectral images should increase our abilities in classifying land use/cover types. However, when traditional classification technologies are applied to the analyzing processes of hyperspectral images, people are usually disappointed by the consequences of low efficiency, needing a large amount of training data, and barely improvement of classification accuracy. In order to solve this problem, technologies of hypersepctral data analyses and processes must be developed. First, this paper illustrates the characteristics of three different spaces (Image, Spectral and Feature) in which hyperspectral data can be inspected. Then, some fundamental statistical theories and graphical presentations of the statistics for hyperspectral images are introduced. Then, spectral differences are analyzed in difference spaces. In addition to spectral differences, differences between two hyperspectral data classes are also analyzed.