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प्रश्न
Draw histogram for the following frequency distributions:
| Class Interval | 30 – 39 | 40 – 49 | 50 – 59 | 60 – 69 | 70 – 79 |
| Frequency | 24 | 16 | 09 | 15 | 20 |
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उत्तर
| Class Interval (Inclusive from ) |
Class Interval (Exclusive from) |
Frequency |
| 30 – 39 | 29.5 – 39.5 | 24 |
| 40 – 49 | 39.5 – 49.5 | 16 |
| 50 – 59 | 49.5 – 59.5 | 09 |
| 60 – 69 | 59.5 – 69.5 | 15 |
| 70 – 79 | 69.5 – 79.5 | 20 |
Steps of construction:
- Convert the data into exclusive form.
- Taking suitable scales, mark class intervals on x-axis and frequency on y-axis.
- Construct rectangles with class intervals as bases and corresponding frequencies as heights.
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| Class interval: | 140−145 | 145−150 | 150−155 | 155−160 | 160−165 |
| Frequency: | 8 | 12 | 18 | 10 | 5 |
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| 28-30 | 4 |
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The marks scored by students in Mathematics in a certain examination are given below :
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| 0 - 20 | 6 |
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Draw histogram for the above data.
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(i) Make a frequency distribution table taking a class size of 10 marks
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| 52 | 33 | 56 | 52 | 44 | 59 | 47 | 61 | 49 | 61 |
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| 32 | 64 | 50 | 54 | 42 | 48 | 22 | 37 | 59 | 63 |
| 36 | 35 | 48 | 48 | 55 | 62 | 74 | 43 | 41 | 51 |
| 08 | 71 | 30 | 18 | 43 | 28 | 20 | 40 | 58 | 49 |
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Draw a histogram and the frequency polygon in the same diagram to represent the following data
| Weight (in kg) | 50 − 55 | 56 − 61 | 62 − 67 | 68 − 73 | 74 − 79 | 80 − 85 | 86 − 91 |
| No. of persons | 15 | 8 | 12 | 17 | 9 | 10 | 6 |
The height of a rectangle in a histogram shows the ______.
