Mathematics
Draw histograms for the following frequency distributions :
| Class interval | Frequency |
|---|---|
| 30 - 39 | 24 |
| 40 - 49 | 16 |
| 50 - 59 | 09 |
| 60 - 69 | 15 |
| 70 - 79 | 20 |
Statistics
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Answer
The above distribution is discontinuous, converting into continuous distribution, we get :
Adjustment factor = (Lower limit of one class - Upper limit of previous class) / 2
=
= 0.5
Subtract the adjustment factor (0.5) from all the lower limits and add the adjustment factor (0.5) to all the upper limits.
| Classes before adjustment | Classes after adjustment | 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 of histogram :
Since, the scale on x-axis starts at 29.5, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 29.5.
Take 2 cm along x-axis = 10 units.
Take 2 cm along y-axis = 5 units.
Construct rectangles corresponding to the above continuous frequency distribution table.
The required histogram is shown in the below figure:

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Related Questions
Use graph paper for this question.
The table given below shows the monthly wages of some factory workers.
(i) Using the table, calculate the cumulative frequencies of workers.
(ii) Draw a cumulative frequency curve.
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(ii) Draw the 'less than' cumulative frequency curve on graph paper.
Construct a frequency distribution table for the following distribution :
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Marks (more than) Cumulative frequency 0 100 10 87 20 65 30 55 40 42 50 36 60 31 70 21 80 18 90 7 100 0