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Question
38 people donated to an organisation working for differently abled persons. The amount in rupees were as follows:
101, 500, 401, 201, 301, 160, 210, 125, 175, 190, 450, 151, 101, 351, 251, 451, 151, 260, 360, 410, 150, 125, 161, 195, 351, 170, 225, 260, 290, 310, 360, 425, 420, 100, 105, 170, 250, 100.
- By taking classes 100-149, 150-199, 200-249... prepare grouped frequency distribution table.
- From the table, find the number of people who donated rupees 350 or more.
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Solution
Given:
38 people donated to an organisation working for differently abled persons. The amount in rupees were as follows:
101, 500, 401, 201, 301, 160, 210, 125, 175, 190, 450, 151, 101, 351, 251, 451, 151, 260, 360, 410, 150, 125, 161, 195, 351, 170, 225, 260, 290, 310, 360, 425, 420, 100, 105, 170, 250, 100.
(i) The grouped frequency distribution table of the given data is as follows:
| Class interval | Tally marks | Frequency |
| 100 - 149 | `cancel(bb|bb|bb|bb|)` `bb|bb|` | 7 |
| 150 - 199 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` | 10 |
| 200 - 249 | `bb|bb|bb|` | 3 |
| 250 - 299 | `cancel(bb|bb|bb|bb|)` | 5 |
| 300 - 349 | `bb|bb|` | 2 |
| 350 - 399 | `bb|bb|bb|bb|` | 4 |
| 400 - 449 | `bb|bb|bb|bb|` | 4 |
| 450 - 499 | `bb|bb|` | 2 |
| 500 - 549 | `bb|` | 1 |
| Total | 38 |
(ii) As, 4 + 4 + 2 + 1 = 11
So, the number of people who donated rupees 350 or more is 11.
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| Classes (age) | Tally marks | Frequency (No. of students) |
| 12-13 | `cancel(bb|bb|bb|bb|)` | `square` |
| 13-14 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `bb|bb|bb|bb|` | `square` |
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| 15-16 | `bb|bb|bb|bb|` | `square` |
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