6(i)
The following distribution gives the daily wages of 60 workers of a factory.
| Daily income in ₹ | Number of workers |
|---|---|
| 200-300 | 6 |
| 300-400 | 10 |
| 400-500 | 14 |
| 500-600 | 16 |
| 600-700 | 10 |
| 700-800 | 4 |
Use graph paper to answer this question.
Take 2 cm = ₹ 100 along one axis and 2 cm = 2 workers along the other axis. Draw a histogram and hence find the mode of the give distribution.
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Steps of construction :
Draw a histogram of the given distribution.
Inside the highest rectangle, which represents the maximum frequency (or modal class), draw two lines AC and BD diagonally from the upper corners C and D of adjacent rectangles.
Through the point K (the point of intersection of diagonals AC and BD), draw KL perpendicular to the horizontal axis.
The value of point L on the horizontal axis represents the value of mode.
From graph,
L = ₹ 530
Hence, required mode = ₹ 530.