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Question
In a school, 46 students of 9th standard, were told to measure the lengths of the pencils in their compass boxes in centimeters. The data collected was as follows.
16, 15, 7, 4.5, 8.5, 5.5, 5, 6.5, 6, 10, 12, 13, 4.5, 4.9, 16, 11, 9.2, 7.3, 11.4, 12.7, 13.9, 16, 5.5, 9.9, 8.4, 11.4, 13.1, 15, 4.8, 10, 7.5, 8.5, 6.5, 7.2, 4.5, 5.7, 16, 5.7, 6.9, 8.9, 9.2, 10.2, 12.3, 13.7, 14.5, 10.
By taking inclusive classes 0-5, 5-10, 10-15.... prepare a grouped frequency distribution table.
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Solution
| Class Interval | Tally Marks | Frequency |
| 0 - 5 | `cancel(bb|bb|bb|bb|)` | 5 |
| 5 - 10 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` | 20 |
| 10 - 15 | `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` `cancel(bb|bb|bb|bb|)` | 15 |
| 15 - 20 | `cancel(bb|bb|bb|bb|)` `bb|` | 6 |
| Total | 46 |
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- Which weight group has the highest frequency?
Complete the following table:
| Weights (in kg.) |
Tally Marks | Frequency (Number of persons) |
| 40 – 50 | `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|` | |
| 50 – 60 | `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|bb|bb|bb|` | |
| 60 – 70 | `\cancel(bb|bb|bb|bb|) bb|` | |
| 70 – 80 | `bb|bb|` | |
| 80 – 90 | `bb|` |
Find the total number of persons whose weights are given in the above table.
