Percentage Distribution
1. **State the problem:** We have income groups in thousands (n000) and the number of families in each group as follows:
Income (n000): 5–10, 10–15, 15–20, 20–25, 25–30
Number of families: 8, 12, 20, 10, 5
We need to convert this data into a percentage distribution and then find the percentage of families earning above 20,000.
2. **Calculate total number of families:**
$$8 + 12 + 20 + 10 + 5 = 55$$
3. **Calculate percentage distribution for each income group:**
- For 5–10: $$\frac{8}{55} \times 100 = 14.55\%$$
- For 10–15: $$\frac{12}{55} \times 100 = 21.82\%$$
- For 15–20: $$\frac{20}{55} \times 100 = 36.36\%$$
- For 20–25: $$\frac{10}{55} \times 100 = 18.18\%$$
- For 25–30: $$\frac{5}{55} \times 100 = 9.09\%$$
4. **Calculate percentage of families earning above 20,000:**
This includes income groups 20–25 and 25–30.
$$18.18\% + 9.09\% = 27.27\%$$
**Final answer:** The percentage of families earning above 20,000 is **27.27%**.
**Percentage distribution table:**
| Income (n000) | No. of Families | Percentage (%) |
|--------------|----------------|---------------|
| 5–10 | 8 | 14.55 |
| 10–15 | 12 | 21.82 |
| 15–20 | 20 | 36.36 |
| 20–25 | 10 | 18.18 |
| 25–30 | 5 | 9.09 |