Questions: Ten buildings are listed in the following table. Find the median height of the eight tallest buildings. Building 1: 2713 feet Building 2: 1972 feet Building 3: 1687 feet Building 4: 1614 feet Building 5: 1524 feet Building 6: 1485 feet Building 7: 1485 feet Building 8: 1478 feet Building 9: 1457 feet Building 10: 1441 feet The median height of the eight tallest buildings is feet

Solution Steps

The heights of the ten buildings are: \[ 2713, 1972, 1687, 1614, 1524, 1485, 1485, 1478, 1457, 1441 \]

Sort the heights from tallest to shortest: \[ 2713, 1972, 1687, 1614, 1524, 1485, 1485, 1478, 1457, 1441 \]

The eight tallest buildings are the first eight heights in the sorted list: \[ 2713, 1972, 1687, 1614, 1524, 1485, 1485, 1478 \]

Since there are eight heights, the median is the average of the 4th and 5th values in the sorted list: \[ \text{Median} = \frac{1614 + 1524}{2} = \frac{3138}{2} = 1569 \]

Final Answer