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प्रश्न
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?
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उत्तर
- The lower limit of second class interval (20 – 30) is 20.
- The upper limit of the last class interval (50 – 60) is 60.
- The frequency of the third class (30 – 40) is 4.
- The interval (20 – 30) has a frequency of 10.
- The interval (30 – 40) has the lowest frequency, i.e. 4.
- We know that, Class size = Upper class limit – Lower class limit
Consider first class, i.e. 10 – 20, then class size = 20 – 10 = 10
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Find the class-mark of the class 35 - 40.
If class mark is 10 and class width is 6 then find the class.
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| Classes (age) | Tally marks | Frequency (No. of students) |
| 12 - 13 | `cancel(bb|bb|bb|bb|)` | `square` |
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| 14 - 15 | `square` | |
| 15 - 16 | `bb|bb|bb|bb|` | `square` |
| `bb(N = sumf = 35)` |
The value of π up to 50 decimal place is
3.14159265358979323846264338327950288419716939937510
(i) Make a frequency distribution table of digits from 0 to 9 after the decimal place.
(ii) Which are the most and least occurring digits?
Fill in the blank in the following table:
| Class interval | Frequency | Cumulative Frequency |
| 25 - 34 | ...... | 15 |
| 35 - 44 | ...... | 28 |
| 45 - 54 | 21 | ...... |
| 55 - 64 | 16 | ...... |
| 65 - 74 | ...... | 73 |
| 75 - 84 | 12 | ...... |
Construct a cumulative frequency distribution table from the frequency table given below:
| Class Interval | Frequency |
| 0 -8 | 9 |
| 8 - 16 | 13 |
| 16 - 24 | 12 |
| 24 - 32 | 7 |
| 32 - 40 | 15 |
The number of chapatis that 30 children in a hostel need at every meal is given below. Make a frequency table for these scores.
3, 2, 2, 3, 4, 5, 4, 3, 4, 5, 2, 3, 4, 3, 2, 5, 4, 4, 4, 3, 3, 2, 2, 2, 3, 4, 3, 2, 3, 2
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Construct a frequency distribution table for the following weights (in grams) of 35 mangoes, using the equal class intervals, one of them is 40 – 45 (45 not included).
30, 40, 45, 32, 43, 50, 55, 62, 70, 70, 61, 62, 53, 52, 50, 42, 35, 37, 53, 55, 65, 70, 73, 74, 45, 46, 58, 59, 60, 62, 74, 34, 35, 70, 68.
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