Mathematics
The following table shows the number of illiterate persons in the age group (10 - 69) in a town
| Age group (in years) | No. of illiterate persons |
|---|---|
| 10 - 19 | 50 |
| 20 - 29 | 125 |
| 30 - 39 | 190 |
| 40 - 49 | 275 |
| 50 - 59 | 340 |
| 60 - 69 | 410 |
Draw a histogram to represent the above data.
Statistics
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Answer
The following frequency distribution is discontinuous, to convert it into continuous frequency distribution,
Subtract the adjustment factor (0.5) from all the lower limits and add the adjustment factor (0.5) to all the upper limits.
Continuous frequency distribution for the given data is :
| Age group before adjustment | Age group after adjustment | No. of illiterate persons (Frequency) |
|---|---|---|
| 10 - 19 | 9.5 - 19.5 | 50 |
| 20 - 29 | 19.5 - 29.5 | 125 |
| 30 - 39 | 29.5 - 39.5 | 190 |
| 40 - 49 | 39.5 - 49.5 | 275 |
| 50 - 59 | 49.5 - 59.5 | 340 |
| 60 - 69 | 59.5 - 69.5 | 410 |
Steps of construction :
Take 2 cm along x-axis = 10 years
Take 1 cm along y-axis = 50 units
A kink is drawn near x-axis to show that the scale starts from 9.5 and not zero.
Construct rectangles corresponding to the above continuous frequency distribution table.
The required histogram is shown in the below figure:

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