Mathematics
Using a graph paper, draw a histogram for the given distribution showing the number of runs scored by 50 batsmen. Estimate the mode of the data :
| Runs scored | No. of batsmen |
|---|---|
| 3000 - 4000 | 4 |
| 4000 - 5000 | 18 |
| 5000 - 6000 | 9 |
| 6000 - 7000 | 6 |
| 7000 - 8000 | 7 |
| 8000 - 9000 | 2 |
| 9000 - 10000 | 4 |
Measures of Central Tendency
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Answer
Steps :
- Take 1 cm along x-axis = 1000 runs and 1 cm along y-axis = 4 (batsman).
- 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 4600.
Hence, the required mode = 4600.
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