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Question
The value of π upto 50 decimal places is given below:
3.14159265358979323846264338327950288419716939937510
From this information prepare an ungrouped frequency distribution table of digits appearing after the decimal point.
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Solution
| Digits | Tally Marks | Frequency |
| 0 | `bb|bb|` | 2 |
| 1 | `cancel(bb|bb|bb|bb|)` | 5 |
| 2 | `cancel(bb|bb|bb|bb|)` | 5 |
| 3 | `cancel(bb|bb|bb|bb|)` `bb|bb|bb|` | 8 |
| 4 | `bb|bb|bb|bb|` | 4 |
| 5 | `cancel(bb|bb|bb|bb|)` | 5 |
| 6 | `bb|bb|bb|bb|` | 4 |
| 7 | `bb|bb|bb|bb|` | 4 |
| 8 | `cancel(bb|bb|bb|bb|)` | 5 |
| 9 | `cancel(bb|bb|bb|bb|)` `bb|bb|bb|` | 8 |
| Total (N) = 50 |
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If class mark is 10 and class width is 6 then find the class.
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| 25 - 34 | ...... | 15 |
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| 45 - 54 | 21 | ...... |
| 55 - 64 | 16 | ...... |
| 65 - 74 | ...... | 73 |
| 75 - 84 | 12 | ...... |
Construct a frequency table from the following data:
| Marks | No. of students |
| less than 10 | 6 |
| less than 20 | 15 |
| less than 30 | 30 |
| less than 40 | 39 |
| less than 50 | 53 |
| less than 60 | 70 |
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| 45 | 48 | 15 | 23 | 30 | 35 | 40 | 11 |
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Inclusive series is a continuous series
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328, 470, 405, 375, 298, 326, 276, 362, 410, 255, 391, 370, 455, 229, 300, 183, 283, 366, 400, 495, 215, 157, 374, 306, 280, 409, 321, 269, 398, 200
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Size of the class 150 – 175 is ______.
The class size of the interval 80 – 85 is ______.
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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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| Frequency | 5 | 10 | 8 | 6 | 12 | 9 |
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| Marks (obtained out of 10) | 4 | 5 | 7 | 8 | 9 | 10 |
| Frequency | 5 | 10 | 8 | 6 | 12 | 9 |
10 marks 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.
