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The 11th Beijing High School Applied Mathematics Competition
The third question is 2185719.17 (km).

The number of applicants for graphic design in the Fine Arts Department of S University has reached a new high, and the registration has just ended. A candidate wants to know the number of applicants for graphic design in the Fine Arts Department of S University. Candidates majoring in graphic design in the Department of Fine Arts of S University have test numbers from 000 1.0002 ... and so they are arranged from small to large. He studied the test numbers of 50 candidates at random, as follows.

0400,0904,0747,0090,0636,07 14,00 17,0432,0403,0276,0986,0804,0697,04 19,0735,0278,0358,0434,0946,0 123,0647,0349, 0 105, 0 186,0079,0434,0960,0543,0495,0974,02 19,0380,0397,0283,0504,0 140,05 18,0966,0559,09 10,0658,0442,0694,0065,0757,0702,0498,0 156,0225,0327。

Please give this candidate a helpful way. According to these 50 randomly selected test numbers, estimate the total number of candidates who applied for graphic design in the Fine Arts Department of S University in 2007.

Theoretically, the more numbers are randomly taken out (the more samples), the closer the average value is to the average value in the sample space, so 0400, 0904, 0747, 0090, 0636, 07 14, 00 17, 0432, 0403, 0276. 0946 0123 0647 0349 01050186 0079 0434 0960 0543 0495 0974 0219 0380 0397 0283 0504 0140. This is a theoretical result, but the maximum number in the actual sample is 986. So it can be considered that the number of entries is within 986- 1000.

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