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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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| Class Interval | Frequency |
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| 40 – 50 | 15 |
| 50 – 60 | 12 |
- What is the lower limit of the second class interval?
- What is the upper limit of the last class interval?
- What is the frequency of the third class?
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- Which interval has the lowest frequency?
- What is the class size?
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