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Question
The following frequency distribution shows the profit (in ₹) of shops in a particular area of city:
| Profit per shop (in ‘000) | No. of shops |
| 0 – 10 | 12 |
| 10 – 20 | 18 |
| 20 – 30 | 27 |
| 30 – 40 | 20 |
| 40 – 50 | 17 |
| 50 – 60 | 6 |
Find graphically the number of shops having profile less than 35,000 rupees.
Solution
The less than cumulative frequency table is
| Profit per shop (in ‘000) |
No. of shops (f) |
Less than cumulative Frequency (c.f.) |
| 0 – 10 | 12 | 12 |
| 10 – 20 | 18 | 30 |
| 20 – 30 | 27 | 57 |
| 30 – 40 | 20 | 77 |
| 40 – 50 | 17 | 94 |
| 50 – 60 | 6 | 100 |
| Total | 100 |
Points to be plotted are (10, 12), (20, 30), (30, 57), (40, 77), (50, 94), (60, 100).
Limits of middle 40% shops lie between ₹ 20,000 to ₹ 36,000
To find the number of shops having a profit less than ₹ 35,000, we take the value 35 on the X-axis. From this point, we draw a line parallel to Y-axis, and from the point where it intersects the less than ogive we draw a perpendicular on Y-axis. It intersects the Y-axis at approximately 67.
∴ No. of shops having a profit less than ₹ 35,000 is 67.
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