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Question
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 |
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Solution
Since mid values are given, the given distributors is discontinuous.
Lower boundary lower limit – `1/2` (gap between the adjacent class interval)
= `15 - 1/2` (10) = 10
Upper boundary = Upper limit + `1/2` (gap between the adjacent class interval)
= `15 + 1/2` (10) = 20
The continuous distribution will he as folIows.
| Class interval | 10 − 20 | 20 − 30 | 30 − 40 | 40 − 50 | 50 − 60 | 60 − 70 | 70 − 80 |
| Frequency | 12 | 24 | 30 | 18 | 26 | 10 | 8 |
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| Result (Percentage) | 30 - 40 | 40 - 50 | 50 - 60 | 60 -70 | 70 - 80 | 80 - 90 | 90 - 100 |
| No. of students | 7 | 33 | 45 | 65 | 47 | 18 | 5 |
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Represent the following data by histogram:
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| 28-30 | 4 |
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| 32-34 | 22 |
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| Class | Frequency |
| 0 - 5 | 2 |
| 5 - 10 | 7 |
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| Total | 24 |
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Construct a histogram from the following distribution of total marks of 40 students in a class.
| Marks | 90 − 110 | 110 − 130 | 130 − 150 | 150 − 170 | 170 − 190 | 190 − 210 |
| No. of Students | 9 | 5 | 10 | 7 | 4 | 6 |
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 |
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| No. of Workers | 6 | 12 | 20 | 15 | 9 |
In a histogram, what may be marked on the vertical axis?
