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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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