Subjects statistics

Percentage Distribution

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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 |