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Question
The annual profits earned by 30 shops of a shopping complex in a locality are recorded in the table shown below:
| Profit (in lakhs ₹) | Number of shops |
| More than or equal to 5 | 30 |
| More than or equal to 10 | 28 |
| More than or equal to 15 | 16 |
| More than or equal to 20 | 14 |
| More than or equal to 25 | 10 |
| More than or equal to 30 | 7 |
| More than or equal to 35 | 3 |
If we draw the frequency distribution table for the above data, find the frequency corresponding to the class 20 – 25.
Sum
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Solution
To convert a “more than or equal to” cumulative frequency distribution into a normal frequency distribution table, subtract the successive cumulative frequencies:
Shops with profit ≥ 20: 14
Shops with profit ≥ 25: 10
Class 20 – 25 frequency 14 – 10 = 4
Complete frequency distribution
| Profit Interval (in lakhs ₹) | Frequency (Number of shops) |
| 5 – 10 | 2 (30 – 28) |
| 10 – 15 | 15 (28 – 16) |
| 15 – 20 | 2 (16 – 14) |
| 20 – 25 | 4 (14 – 10) |
| 25 – 30 | 3 (10 – 7) |
| 30 – 35 | 4 (7 – 3) |
| 35 – 40 | 3 |
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