A B737-300 TOOK OFF FROM ONT WITH IMPROPER WT FIGURES.

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OUR LOADING SCHEDULE SHOWED A TOTAL CARGO WT OF 1797 LBS WHICH GAVE US A ZERO FUEL WT = 101;545 LBS AND A TKOF WT = 115;548 LBS. PLANNED TKOF WT WAS 118;700 LBS; SO NOTHING SEEMED OUT OF THE ORDINARY. 15 MINS AFTER TKOF; DISPATCH INFORMED US OUR LOADING SCHEDULE WAS WRONG BECAUSE ONT OPS DID NOT ENTER THE TOTAL WT OF THE CARGO ACCURATELY. DISPATCH SAID OUR ACTUAL TKOF WAS 120;145 LBS OVER OUR 'L' ACTUAL TKOF GROSS WT OF 119.2 LBS. THIS ALSO PUT OUR ZERO FUEL WT AT 105;142 (ABOVE MAXIMUM ZERO FUEL WT; 105.0 LBS). DISPATCH THEN ASKED US TO HAVE THE FLT ATTENDANTS COUNT KIDS TO REDUCE THE OUT OF WT LIMITS. WITH 22 KIDS ABOARD; OUR NEW ZERO FUEL WT = 103;243 LBS AND A TKOF WT = 118;246 LBS. WE THEN DETERMINED OUR WT LIMITS WERE NOT EXCEEDED; BUT WE STILL HAD TKOF WITH INACCURATE INFO. AFTER LNDG; I CALLED DISPATCH TO CLARIFY THE EVENTS THAT OCCURRED AND TO TALK WITH THE CHIEF PLT ON DUTY TO DISCUSS THE LEGALITY OF CONTINUING ON. WITH RESPECT TO FLT CREWS: MORE AWARENESS OF THE NUMBER OF BAGS ON BOARD COMPARED TO THE NUMBER OF PAX ON BOARD. WITH RESPECT TO FLT OPS: MORE OF A CHKS AND BAL TO ACCURATELY ACCOUNT FOR CARGO ADDED.