Mathematics
The marks obtained by 35 students in an examination are given below :
370, 290, 318, 175, 170, 410, 378, 405, 380, 375, 315, 305, 325, 275, 241, 288, 261, 355, 402, 380, 178, 253, 428, 240, 210, 175, 154, 405, 380, 370, 306, 460, 328, 440, 425
Form cumulative frequency table with class intervals of length 50.
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Answer
Minimum mark = 154
Maximum mark = 460
Given class length = 50
So we can take class intervals as
150 - 200, 200 - 250, 250 - 300, 300 - 350, 350 - 400, 400 - 450, 450 - 500,
Frequency distribution table :
| Marks | Tally-Marks | Frequency | Cumulative frequency |
|---|---|---|---|
| 150 - 200 | 5 | 5 | |
| 200 - 250 | III | 3 | 8 (5 + 3) |
| 250 - 300 | 5 | 13 (8 + 5) | |
| 300 - 350 | 6 | 19 (13 + 6) | |
| 350 - 400 | 8 | 27 (19 + 8) | |
| 400 - 450 | 7 | 34 (27 + 7) | |
| 450 - 500 | I | 1 | 35 (34 + 1) |
| Total | 35 |
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