Charolette is looking for a 3-bedroom apartment with 2 bathrooms. The rents of six different apartments from the local area are listed below in dollars per month. Find the median. Apartment 1: \( \$ 1650 \) Apartment 2: \( \$ 1700 \) Apartment 3: \( \$ 2050 \) Apartment 4: \( \$ 2100 \) Apartment 5: \( \$ 1750 \) Apartment 6: \( \$ 2400 \) \$ \$2050 \$ \$1900 \$2075
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The Deep Dive
To find the median rent for Charolette's apartment search, first, we need to arrange the rents in ascending order: - \( \$ 1650 \) - \( \$ 1700 \) - \( \$ 1750 \) - \( \$ 2050 \) - \( \$ 2100 \) - \( \$ 2400 \) Since there are six rents (an even number), the median will be the average of the two middle values. In this case, the two middle values are \( \$ 1750 \) and \( \$ 2050 \). Calculating the median: \( \text{Median} = \frac{\$ 1750 + \$ 2050}{2} = \frac{\$ 3800}{2} = \$ 1900 \) So, the median rent is \( \$ 1900 \). --- When it comes to apartment hunting, knowing the median rent is powerful. It gives Charolette a clear insight into what a typical rent looks like, avoiding any potential bias from extremely high or low rents. This way, she can better negotiate or manage her budget based on realistic figures. Moreover, a common mistake when calculating the median is to overlook that it should reflect the middle value of a properly ordered list. Always double-check that the numbers are sorted before making your calculations. It's like having a tidy home—organized and ready for visitors (or in this case, potential renters)!