What do mean and standard deviation in LAB histogram represent?

I am trying to use Photoshop to obtain numerical data on the colors of a  number of images using the LAB colorspace. In this colorspace, the  ranges of L, A, and B are 0 to 100, -128 to +127, and -128 to +127,  respectively, yet when I view images in this colorspace in Photoshop,  the histogram comes up with means that are always positive and in many  cases outside these ranges. What do the mean and standard deviation in  the Photoshop histogram actually represent?

Each channel still consists of (width in pixels x height in pixels) pixels of values between 0 and 255 (in 8Bit that is).

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