percent error

简明释义

百分误差

英英释义

例句

1.The percent error 百分比误差 of the thermometer was found to be within acceptable limits.

温度计的percent error 百分比误差被发现处于可接受范围内。

2.To improve quality control, the factory monitors the percent error 百分比误差 in their production processes.

为了提高质量控制，工厂监控他们生产过程中的percent error 百分比误差。

3.In a physics lab, students are taught how to calculate percent error 百分比误差 when measuring gravitational acceleration.

在物理实验室，学生们学习如何在测量重力加速度时计算percent error 百分比误差。

4.The scientist calculated the percent error 百分比误差 in her experiment to determine the accuracy of her results.

科学家计算了她实验中的percent error 百分比误差以确定结果的准确性。

5.When comparing two measurements, it is essential to report the percent error 百分比误差 for clarity.

在比较两个测量值时，报告percent error 百分比误差是至关重要的。

作文

Understanding the concept of percent error is crucial in various fields, particularly in science and engineering. The percent error is a way to express the accuracy of a measurement by comparing the difference between the measured value and the true value relative to the true value itself. This metric allows researchers and professionals to quantify how close their measurements are to the actual values they aim to achieve. To calculate percent error, one can use the formula: Percent Error = (|Measured Value - True Value| / True Value) x 100% This formula highlights that the percent error is always expressed as a percentage, which makes it easier to interpret and compare across different experiments or measurements. For example, if a scientist measures the boiling point of water and finds it to be 101 degrees Celsius, while the true boiling point is 100 degrees Celsius, the percent error can be calculated as follows: 1. Find the absolute error: |101 - 100| = 1 2. Divide the absolute error by the true value: 1 / 100 = 0.01 3. Multiply by 100 to get the percent error: 0.01 x 100% = 1% In this case, the percent error is 1%, indicating that the measurement is quite accurate, but there is still a small discrepancy. Understanding percent error is particularly significant in scientific experiments where precision is paramount. A low percent error indicates that the measurement is close to the true value, whereas a high percent error suggests a significant deviation from the expected outcome. Moreover, percent error is not only limited to scientific measurements; it can also be applied in everyday situations. For instance, if a student estimates the time it takes to complete a project and believes it will take five hours, but it actually takes six hours, the percent error can provide insight into how far off their estimation was. In this case, the calculation would be: 1. Absolute error: |5 - 6| = 1 2. Divide by the true value: 1 / 6 ≈ 0.1667 3. Multiply by 100: 0.1667 x 100% ≈ 16.67% This means the student's estimation was off by approximately 16.67%. In conclusion, the concept of percent error serves as an essential tool for evaluating the accuracy of measurements in both scientific and practical applications. By providing a standardized method to express errors, it facilitates better understanding and improvement of measurement techniques. Whether in a laboratory setting or daily life, recognizing and calculating percent error can lead to more informed decisions and enhanced precision in various endeavors. Ultimately, mastering the concept of percent error empowers individuals to critically analyze their data and strive for greater accuracy in their work.

理解百分比误差的概念在多个领域中至关重要，尤其是在科学和工程领域。百分比误差是一种通过比较测量值与真实值之间的差异相对于真实值本身来表达测量准确性的方法。这个指标使研究人员和专业人士能够量化他们的测量与他们希望达到的实际值之间的接近程度。要计算百分比误差，可以使用以下公式：百分比误差 = (|测量值 - 真实值| / 真实值) x 100%这个公式强调了百分比误差始终以百分比形式表示，这使得它更容易解释和比较不同实验或测量之间的结果。例如，如果一位科学家测量水的沸点并发现其为101摄氏度，而真实沸点为100摄氏度，则可以按如下方式计算百分比误差：1. 计算绝对误差：|101 - 100| = 12. 将绝对误差除以真实值：1 / 100 = 0.013. 乘以100得到百分比误差：0.01 x 100% = 1%在这种情况下，百分比误差为1%，表明测量相当准确，但仍有小的差异。理解百分比误差在科学实验中尤为重要，因为精确度至关重要。低的百分比误差表明测量接近真实值，而高的百分比误差则表明与预期结果存在显著偏差。此外，百分比误差不仅限于科学测量；它也可以应用于日常情况。例如，如果一名学生估计完成一个项目需要五个小时，但实际上花费了六个小时，百分比误差可以提供有关他们估计偏差的见解。在这种情况下，计算如下：1. 绝对误差：|5 - 6| = 12. 除以真实值：1 / 6 ≈ 0.16673. 乘以100：0.1667 x 100% ≈ 16.67%这意味着学生的估计偏差约为16.67%。总之，百分比误差的概念作为评估测量准确性的基本工具，在科学和实际应用中都起着重要作用。通过提供一种标准化的方法来表达误差，它促进了对测量技术的更好理解和改进。无论是在实验室环境还是日常生活中，认识和计算百分比误差可以导致更明智的决策和在各种努力中提高精确度。最终，掌握百分比误差的概念使个人能够批判性地分析他们的数据，并努力在工作中追求更大的准确性。