percentage error

简明释义

百分误差

英英释义

例句

1.To ensure accuracy, scientists often calculate the percentage error 百分比误差 in their measurements.

为了确保准确性，科学家们通常会计算他们测量中的百分比误差 percentage error 。

2.A percentage error 百分比误差 of less than 1% is considered acceptable in most engineering applications.

在大多数工程应用中，低于1%的百分比误差 percentage error 被认为是可以接受的。

3.The calculated value of the experiment was 50, while the actual value was 48. The percentage error 百分比误差 is 4%.

实验的计算值为50，而实际值为48。百分比误差 percentage error 为4%。

4.When measuring the length of a table, if you estimate it to be 200 cm but it is actually 195 cm, the percentage error 百分比误差 is 2.5%.

当测量一张桌子的长度时，如果你估计它为200厘米，但实际上是195厘米，百分比误差 percentage error 为2.5%。

5.In financial forecasting, a percentage error 百分比误差 of more than 10% can indicate a significant discrepancy.

在财务预测中，超过10%的百分比误差 percentage error 可能表明存在重大差异。

作文

Understanding the concept of percentage error is crucial in various fields, including science, engineering, and economics. The percentage error helps us quantify the accuracy of a measurement or calculation by comparing the difference between the estimated value and the true value relative to the true value itself. This concept not only applies to numerical data but also plays a significant role in decision-making processes across different disciplines.To illustrate the importance of percentage error, let’s consider a simple example in a scientific experiment. Suppose a chemist aims to measure the boiling point of a substance, which is known to be 100 degrees Celsius. However, due to equipment inaccuracies or external factors, the chemist records a boiling point of 98 degrees Celsius. To calculate the percentage error, we first determine the absolute error, which is the difference between the measured value and the actual value. In this case, the absolute error is |100 - 98| = 2 degrees Celsius.Next, we find the percentage error by dividing the absolute error by the true value and multiplying by 100 to express it as a percentage:Percentage Error = (Absolute Error / True Value) × 100 = (2 / 100) × 100 = 2%.This means that the chemist's measurement has a percentage error of 2%, indicating that the measurement is quite close to the actual boiling point. Understanding this percentage error allows scientists to assess the reliability of their measurements and make informed decisions based on their findings.In engineering, the percentage error is equally vital. Engineers often rely on precise measurements when designing structures or machinery. For instance, if an engineer calculates that a beam should support a weight of 500 kg but the actual load capacity is only 480 kg, the percentage error can indicate how much the design deviates from the expected performance. By calculating the percentage error, the engineer can determine whether adjustments are necessary to ensure safety and functionality.Moreover, in economics, the percentage error can be used to evaluate forecasts and predictions. Economists often predict future trends such as inflation rates or GDP growth based on current data. If their prediction for next year’s GDP growth is 3% but the actual growth turns out to be 2.8%, the percentage error can help them understand the accuracy of their models. This insight allows economists to refine their approaches and improve the reliability of their predictions.In conclusion, the concept of percentage error serves as a fundamental tool for evaluating accuracy across various fields. By providing a clear metric for assessing discrepancies between measured and true values, the percentage error enhances our understanding of data reliability. Whether in scientific research, engineering design, or economic forecasting, recognizing and calculating percentage error is essential for making informed decisions and improving methodologies. Ultimately, mastering this concept can lead to better outcomes and advancements in numerous disciplines, reinforcing its significance in both academic and practical applications.

理解百分比误差的概念在科学、工程和经济等多个领域至关重要。百分比误差帮助我们通过比较估计值与真实值之间的差异来量化测量或计算的准确性，且相对真实值本身。这个概念不仅适用于数值数据，也在不同学科的决策过程中发挥着重要作用。为了说明百分比误差的重要性，让我们考虑一个科学实验中的简单例子。假设一名化学家旨在测量一种物质的沸点，已知该沸点为100摄氏度。然而，由于设备不准确或外部因素的影响，该化学家记录的沸点为98摄氏度。要计算百分比误差，我们首先确定绝对误差，即测量值与实际值之间的差异。在这种情况下，绝对误差为|100 - 98| = 2摄氏度。接下来，我们通过将绝对误差除以真实值并乘以100来计算百分比误差，以将其表示为百分比：百分比误差 = (绝对误差 / 真实值) × 100 = (2 / 100) × 100 = 2%。这意味着化学家的测量具有2%的百分比误差，表明该测量值非常接近实际沸点。理解这个百分比误差使科学家能够评估他们测量的可靠性，并根据他们的发现做出明智的决定。在工程领域，百分比误差同样至关重要。工程师在设计结构或机械时通常依赖精确的测量。例如，如果一名工程师计算出一根梁应能承受500公斤的重量，但实际承载能力仅为480公斤，那么百分比误差可以指示设计与预期性能之间的偏差程度。通过计算百分比误差，工程师可以确定是否需要进行调整，以确保安全性和功能性。此外，在经济学中，百分比误差可用于评估预测和预言。经济学家常常根据当前数据预测未来趋势，例如通货膨胀率或GDP增长。如果他们对明年GDP增长的预测为3%，但实际增长为2.8%，则百分比误差可以帮助他们理解模型的准确性。这一见解使经济学家能够优化他们的方法，提高预测的可靠性。总之，百分比误差的概念作为评估各个领域准确性的基本工具。通过提供一个清晰的指标来评估测量值与真实值之间的差异，百分比误差增强了我们对数据可靠性的理解。无论是在科学研究、工程设计还是经济预测中，认识和计算百分比误差对于做出明智的决策和改进方法至关重要。最终，掌握这一概念可以带来更好的结果和众多学科的进步，增强其在学术和实践应用中的重要性。