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Question
The weights (in kg) of 30 students of a class are:
39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45, 46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.
Prepare a frequency distribution table using one class interval as (30 – 35), 35 not included.
- Which class has the least frequency?
- Which class has the maximum frequency?
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Solution
| Class interval | Tally marks | Frequency |
| 25 – 30 | `bb|bb|` | 2 |
| 30 – 35 | `\cancel(bb|bb|bb|bb|) bb|bb|` | 7 |
| 35 – 40 | `\cancel(bb|bb|bb|bb|) \cancel(bb|bb|bb|bb|) bb|` | 11 |
| 40 – 45 | `\cancel(bb|bb|bb|bb|) bb|bb|` | 7 |
| 45 – 50 | `bb|bb|bb|` | 3 |
| Total | 30 |
- The class interval 25 – 30 has the least frequency, i.e. 2.
- The class interval 35 – 40 has the maximum frequency, i.e. 11.
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The number of times an observation occurs in the given data is called ________
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| Marks (obtained out of 10) | 4 | 5 | 7 | 8 | 9 | 10 |
| Frequency | 5 | 10 | 8 | 6 | 12 | 9 |
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Given below is a frequency distribution table. Read it and answer the questions that follow:
| Class Interval | Frequency |
| 10 – 20 | 5 |
| 20 – 30 | 10 |
| 30 – 40 | 4 |
| 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?
- Which interval has a frequency of 10?
- Which interval has the lowest frequency?
- What is the class size?
