The weight of the AeroPress (including the AeroPress, the filter cap, the filter holder, the pack of 350 filters, the scoop, the stirrer, and the funnel) is 13 ounces. The weight of the zippered nylon tote bag alone is 0.5 ounces.
When camping, backpacking or traveling light, the parts of the AeroPress you would take along (the chamber, the plunger, the filter cap, and however many paper microfilters you thought you’d need) weigh 6.5 ounces. You would leave the AeroPress filter holder, scoop, funnel, and stirrer at home, and use whatever spoon you were already bringing on your hike as a scoop and stirrer.