Mathematics
| Category | Wages in ₹ per day | No. of workers |
|---|---|---|
| A | 50 | 2 |
| B | 60 | 4 |
| C | 70 | 8 |
| D | 80 | 12 |
| E | 90 | 10 |
| F | 100 | 6 |
| G | 110 | 8 |
(i) Calculate the mean wage, correct to nearest rupee.
(ii) If the number of workers in each category is doubled, what would be the new mean wage?
Measures of Central Tendency
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Answer
(i) We construct the following table:
| Wages in ₹ per day (xi) | No. of workers (fi) | fixi |
|---|---|---|
| 50 | 2 | 100 |
| 60 | 4 | 240 |
| 70 | 8 | 560 |
| 80 | 12 | 960 |
| 90 | 10 | 900 |
| 100 | 6 | 600 |
| 110 | 8 | 880 |
| Total | 50 | 4240 |
Mean = = 84.8
Correcting to nearest rupee mean = ₹ 85
Hence, the mean wage is ₹ 85.
(ii) If the number of workers in each category is doubled then total wage will also be doubled.
New total wage = 4240 × 2 = 8480 and number of workers = 50 × 2 = 100.
Mean = = 84.8
Correcting to nearest rupee mean = ₹ 85
Hence, the new mean wage is also ₹ 85.
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