Mathematics
Using a graph paper, draw a histogram for the given distribution showing the number of runs scored by 50 batsmen. From the histogram, 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 runs.
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