Mathematics
For the following frequency distribution, draw a histogram. Hence, calculate the mode.
| Marks | Frequency |
|---|---|
| 0 - 5 | 10 |
| 5 - 10 | 14 |
| 10 - 15 | 28 |
| 15 - 20 | 42 |
| 20 - 25 | 50 |
| 25 - 30 | 30 |
| 30 - 35 | 14 |
| 35 - 40 | 12 |
Measures of Central Tendency
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Answer
Steps :
Take 1 cm along x-axis = 5 marks and 1 cm along y-axis = 5 units (frequency).
Construct rectangles corresponding to the given data.
In highest rectangle, draw two st. lines AC and BD from corners of the rectangles on either side of the highest rectangle to the opposite corners of the highest rectangle. Let P be the point of intersection of AC and BD.
Through P, draw a vertical line to meet the x-axis at M. The abscissa of the point M represents 21.50
Hence, the required mode = 21.50.
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