Mathematics
Use a graph paper for this question. The daily pocket expenses of 200 students in a school are given below :
| Daily transport expenses (in ₹) | No. of students (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 |
Draw a histogram representing the above distribution and estimate the mode from the graph.
Measures of Central Tendency
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Answer
Steps :
- Take 1 cm along x-axis = ₹5 and 1 cm along y-axis = 5 students.
- 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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