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The height of the tall building could be anywhere from 183.5 meters to 184.5 meters.
When measurements are reported to a certain degree of accuracy, it is important to understand the range of possible values that the true quantity can fall within. In this case, the stated height of a tall building is 184 meters, rounded to the nearest meter. However, due to the rounding process, the actual height of the building could potentially be slightly different.
The range of possible values for the building's height can be determined by considering the midpoint between the rounded value and the two adjacent whole numbers. In this context, the midpoint between 183 and 184 meters is 183.5 meters, and the midpoint between 184 and 185 meters is 184.5 meters. Therefore, the range of possible values for the building's height is between 183.5 meters and 184.5 meters.
This range takes into account the inherent uncertainty introduced by rounding. While the reported height of 184 meters provides a reasonable estimate of the building's actual height, it is important to recognize that variations in measurement and rounding can lead to a slight deviation from the reported value. The range of values provides a more comprehensive understanding of the potential heights that the building could have within the specified accuracy.
In summary, the range of possible values for the height of the tall building is between 183.5 meters and 184.5 meters, accounting for the rounding to the nearest meter and allowing for a margin of uncertainty.
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The possible range of values for the height, h, of the building is between 183.5 meters and 184.5 meters.
When measurements are rounded to the nearest unit, there's always a margin of error involved. In this case, the building's height is given as 184 meters, rounded to the nearest meter. This means that the actual height could be anywhere within half a meter below or above the given value. Therefore, the lower bound of the possible height is 183.5 meters (184 - 0.5), and the upper bound is 184.5 meters (184 + 0.5).
Rounding introduces uncertainty, and this range reflects the potential variation due to rounding. The building's true height could be as low as 183.5 meters or as high as 184.5 meters, considering the inherent imprecision of the rounded measurement.
It's important to remember that rounding introduces this level of uncertainty, especially when precision is crucial. In situations where accuracy matters, it's recommended to use measurements with greater precision to avoid misinterpretations or miscalculations. This is particularly relevant in fields like engineering, architecture, and science.
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