Mathematics
Draw a histogram and hence estimate the mode for the following distribution.
| Class | Frequency |
|---|---|
| 0 - 5 | 2 |
| 5 - 10 | 5 |
| 10 - 15 | 18 |
| 15 - 20 | 14 |
| 20 - 25 | 8 |
| 25 - 30 | 5 |
Answer
Steps :
Take 1 cm along x-axis = 5 units and 1 cm along y-axis = 4 units.
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 14.
Hence, the required mode = 14.
Related Questions
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(ii) the modal class
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(iv) the number of workers getting ₹ 260 or more but less than ₹ 340 as daily wages.
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