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प्रश्न
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 |
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उत्तर
The given distribution is discontinuous.
Lower boundary = lower limit – `1/2` ...(gap between the adjacent class interval)
= `50 - 1/2` (1) = 49.5
Upper boundary = Upper limit + `1/2` ...(gap between the adjacent class interval)
= `55 + 1/2` (1) = 55.5
∴ The continuous frequency table is as below.
| Weight (in kg) | 49.5 − 55.5 | 55.5 − 61.5 | 61.5 − 67.5 | 67.5 − 73.5 | 73.5 − 79.5 | 79.5 − 85.5 | 85.5 − 91.5 |
| No. of persons | 15 | 8 | 12 | 17 | 9 | 10 | 6 |

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संबंधित प्रश्न
The histogram below represents the scores obtained by 25 students in a mathematics mental test. Use the data to:
- Frame a frequency distribution table.
- To calculate mean.
- To determine the Modal class.

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| Years | No. of workshops |
| 1995−1996 | 25 |
| 1996−1997 | 30 |
| 1997−1998 | 42 |
| 1998−1999 | 50 |
| 1999−2000 | 65 |
Draw a histogram representing the above data.
In a hypothetical sample of 20 people the amounts of money with them were found to be as follows:
114, 108, 100, 98, 101, 109, 117, 119, 126, 131, 136, 143, 156, 169, 182, 195, 207, 219, 235, 118.
Draw the histogram of the frequency distribution (taking one of the class intervals as 50 − 100).
Construct a histogram for the following data:
| Monthly school fee (in Rs): | 30−60 | 60−90 | 90−120 | 120−150 | 150−180 | 180−210 | 210−240 |
| Number of schools: | 5 | 12 | 14 | 18 | 10 | 9 | 4 |
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Mark a frequency table with intervals as 800-810, 810-820 and so on, using tally marks. Also, draw a histogram and answer the following questions:
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Draw histogram and hence the frequency polygon for the following frequency distribution:
| Rainfall (in cm) | No. of years |
| 20-25 | 2 |
| 25-30 | 5 |
| 30-35 | 8 |
| 35-40 | 12 |
| 40-45 | 10 |
| 45-50 | 7 |
Form a continuous frequency distribution table and draw histogram from the following data.
| Age (in years) | No. of persons |
| Under 5 | 1 |
| Under 10 | 12 |
| Under 15 | 19 |
| Under 20 | 26 |
| Under 25 | 27 |
| Under 30 | 35 |
| Under 35 | 38 |
| Under 40 | 45 |
| Under 45 | 48 |
| Under 50 | 53 |
Draw a histogram for the following data.
| Mid Value (x) | 15 | 25 | 35 | 45 | 55 | 65 | 75 |
| Frequency (f) | 12 | 24 | 30 | 18 | 26 | 10 | 8 |
Look at the histogram below and answer the questions that follow.

- How many students have height more than or equal to 135 cm but less than 150 cm?
- Which class interval has the least number of students?
- What is the class size?
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