Subjects statistics

Rent Analysis A43B7A

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1. **Stating the problem:** We have monthly rents for 5 apartments: 1901, 2089, 1502, 2149, and 2192 euros. We want to analyze these rents. 2. **Calculate the mean (average) rent:** The formula for the mean is $$\text{mean} = \frac{\sum \text{rents}}{n}$$ where $n$ is the number of apartments. 3. **Sum the rents:** $$1901 + 2089 + 1502 + 2149 + 2192 = 9833$$ 4. **Divide by the number of apartments:** $$\frac{9833}{5}$$ 5. **Simplify the division:** $$\frac{\cancel{9833}}{\cancel{5}} = 1966.6$$ (rounded to one decimal place) 6. **Interpretation:** The average monthly rent of these apartments is approximately 1966.6 euros. 7. **Calculate the median rent:** Sort rents: 1502, 1901, 2089, 2149, 2192. The median is the middle value, which is 2089 euros. 8. **Calculate the range:** $$\text{range} = \text{max} - \text{min} = 2192 - 1502 = 690$$ euros. 9. **Summary:** - Mean rent: 1966.6 euros - Median rent: 2089 euros - Range of rents: 690 euros This analysis helps understand the distribution of rents in the apartments.