It is a statistical procedure for summarising discrete data.
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It is the result of drawing stem-and-leaf plots for two variables, back-to-back, such that they share the same stem.
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A back to back stem and leaf chart consists of two stem and leaf charts, usually measuring related variables. The two charts share the same stem; in one chart the leaves go from right, at the stem, to left while in the other chart the leaves go from left to right as "normal".