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When changing between the data view and the layout view, the scale of the map changes slightly.
The scale in the data view shows a value appropriate to the data display size but is not dependent on a page size. The data frame is not currently being restrained to the size of a printer. In the data view, the map will display at the same scale regardless of the desired page size. The scale value in the layout view is dependent on a particular page size. The size of the data frame will adjust to fit the constraints of that page and may adjust the scale. The difference in scale will be proportionate to the size of the page selected.
Use the fixed scale option in the Data Frame Properties to avoid this scale change.