The following table shows the income of farmers in a grape season. Find the mean of their income.
| Income (Thousand Rupees) | 20–30 | 30–40 | 40–50 | 50–60 | 60–70 | 70–80 |
|---|---|---|---|---|---|---|
| Farmers | 10 | 11 | 15 | 16 | 18 | 14 |
Answer: Mean income = 52.5 thousand rupees, i.e. ₹ 52,500
| Class | Class mark \(x_i\) | Frequency \(f_i\) | \(f_ix_i\) |
|---|---|---|---|
| 20–30 | 25 | 10 | 250 |
| 30–40 | 35 | 11 | 385 |
| 40–50 | 45 | 15 | 675 |
| 50–60 | 55 | 16 | 880 |
| 60–70 | 65 | 18 | 1170 |
| 70–80 | 75 | 14 | 1050 |
| Total | \(\sum f_i = 84\) | \(\sum f_ix_i = 4410\) |
\[ \bar{X} = \frac{\sum f_ix_i}{\sum f_i} = \frac{4410}{84} \]
\[ \bar{X} \approx 52.5 \]
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