total deviation

简明释义

总偏差

英英释义

例句

1.The total deviation 总偏差 in production costs impacted the overall budget.

生产成本中的总偏差 total deviation影响了整体预算。

2.The total deviation 总偏差 in test results indicated a need for further investigation.

测试结果中的总偏差 total deviation表明需要进一步调查。

3.The engineer calculated the total deviation 总偏差 in the measurements to ensure accuracy.

工程师计算了测量中的总偏差 total deviation以确保准确性。

4.In the quality control report, the total deviation 总偏差 from the standard was noted.

在质量控制报告中，记录了与标准的总偏差 total deviation。

5.To improve efficiency, we need to analyze the total deviation 总偏差 in our processes.

为了提高效率，我们需要分析我们流程中的总偏差 total deviation。

作文

In the world of statistics and data analysis, understanding the concept of total deviation is crucial for interpreting results accurately. The term total deviation refers to the overall difference between observed values and the average or expected value in a dataset. This measurement helps analysts to assess how much individual data points differ from the mean, providing insights into the variability and consistency of the data. For instance, when conducting an experiment, researchers often collect data points that may vary significantly from one another. By calculating the total deviation, they can quantify this variability, which is essential for drawing meaningful conclusions.To illustrate the importance of total deviation, let’s consider a simple example involving students’ test scores in a mathematics class. Suppose the average score of the class is 75 out of 100. If one student scores 90, another scores 60, and a third scores 70, we can calculate the total deviation from the average. The deviations from the mean would be +15 for the first student, -15 for the second, and -5 for the third. The total deviation would then be the sum of these individual deviations. This information can help the teacher understand how well the class is performing as a whole and identify any students who may need additional support.Furthermore, total deviation plays a significant role in various fields such as quality control, finance, and scientific research. In quality control, for example, manufacturers monitor the total deviation of product dimensions from specified standards to ensure consistency and reliability. If the total deviation is too high, it may indicate problems in the production process that need to be addressed. Similarly, in finance, investors analyze the total deviation of stock prices to assess risk and make informed decisions about their portfolios.It is also important to differentiate between total deviation and other related concepts such as variance and standard deviation. While total deviation gives a raw measure of how far data points are from the mean, variance and standard deviation provide a more refined understanding by taking the average of these deviations and squaring them, respectively. This allows for a more nuanced interpretation of data distribution and variability.In conclusion, mastering the concept of total deviation is essential for anyone involved in data analysis or statistical research. It provides a foundational understanding of how data points relate to one another and to the average, enabling analysts to make informed decisions based on the variability present in their datasets. Whether in education, manufacturing, or finance, the implications of total deviation are vast and critical for achieving accuracy and reliability in outcomes. As we continue to navigate a data-driven world, the ability to comprehend and apply the concept of total deviation will remain a valuable skill for professionals across various disciplines.

在统计学和数据分析的世界中，理解总偏差的概念对于准确解读结果至关重要。术语总偏差指的是数据集中观察值与平均或预期值之间的整体差异。这一测量帮助分析师评估个别数据点与均值的差异，从而提供有关数据的变异性和一致性的见解。例如，在进行实验时，研究人员通常会收集可能彼此显著不同的数据点。通过计算总偏差，他们可以量化这种变异性，这对于得出有意义的结论至关重要。为了说明总偏差的重要性，让我们考虑一个涉及数学课堂上学生考试成绩的简单例子。假设班级的平均分是75分（满分100分）。如果一名学生得分90，另一名学生得分60，还有第三名学生得分70，我们可以计算出与平均值的总偏差。第一名学生的偏差为+15，第二名学生的偏差为-15，第三名学生的偏差为-5。那么总偏差就是这些个体偏差的总和。这些信息可以帮助老师了解班级整体表现，并识别出可能需要额外支持的学生。此外，总偏差在质量控制、金融和科学研究等多个领域也发挥着重要作用。例如，在质量控制中，制造商监测产品尺寸与规定标准的总偏差以确保一致性和可靠性。如果总偏差过高，可能表明生产过程中存在需要解决的问题。同样，在金融领域，投资者分析股票价格的总偏差以评估风险并做出明智的投资组合决策。还需要区分总偏差和其他相关概念，如方差和标准偏差。虽然总偏差提供了数据点与均值之间距离的原始度量，但方差和标准偏差通过分别取这些偏差的平均值和平方，提供了更细致的理解。这使得对数据分布和变异性的解释更加细致。总之，掌握总偏差的概念对于任何参与数据分析或统计研究的人来说都是必不可少的。它提供了对数据点相互关系及其与平均值的关系的基础理解，使分析师能够根据数据集中存在的变异性做出明智的决策。无论是在教育、制造业还是金融领域，总偏差的影响都是广泛而关键的，对于实现结果的准确性和可靠性至关重要。随着我们继续在数据驱动的世界中航行，理解和应用总偏差的能力将仍然是各个学科专业人士的宝贵技能。