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Is a stock's trade size history publicly available? 
My Broker and probably many Brokers provide this information in a table format under "Course of Sale". It provides the time, price and volume of each trade on that day. You could also view this data on a chart in some charting programs. Just set the interval to "Tick by Tick" and look at the volume. "Tick by Tick" will basically place a mark for every trade that is taken and then the volume will tell you the size of that trade.