Mathematics
Marks obtained by 100 students in an examination are given below:
| Marks | No. of students |
|---|---|
| 0 - 10 | 5 |
| 10 - 20 | 15 |
| 20 - 30 | 20 |
| 30 - 40 | 28 |
| 40 - 50 | 20 |
| 50 - 60 | 12 |
Draw a histogram for the given data using a graph paper and find the mode. Take 2 cm = 10 marks along one axis and 2 cm = 10 students along the other axis.
Answer
Steps :
Take 2 cm along x-axis = 10 marks and 2 cm along y-axis = 10 students (frequency).
Construct rectangles corresponding to the given data.
In highest rectangle, draw two straight 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 35.
Hence, the required mode = 35.
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