coefficient of deviation

简明释义

自差系数

英英释义

例句

1.In quality control, the coefficient of deviation helps identify inconsistencies in product measurements.

在质量控制中，偏差系数有助于识别产品测量中的不一致性。

2.Researchers often calculate the coefficient of deviation to assess the reliability of their experiments.

研究人员经常计算偏差系数来评估实验的可靠性。

3.When analyzing survey results, the coefficient of deviation provides insights into respondent diversity.

在分析调查结果时，偏差系数提供了对受访者多样性的见解。

4.The coefficient of deviation can indicate how much variation exists relative to the mean.

偏差系数可以指示相对于均值存在多少变异。

5.The coefficient of deviation is used to measure the variability of a dataset in finance.

在金融中，偏差系数用于测量数据集的变异性。

作文

In statistics, understanding the concept of variability is crucial for analyzing data effectively. One important measure that helps us comprehend how much variation exists within a dataset is the coefficient of deviation. The coefficient of deviation (偏差系数) is a statistical measurement that quantifies the relative variability of a dataset in relation to its mean. It is particularly useful when comparing the degree of variation between different datasets or distributions. To elaborate, the coefficient of deviation is calculated by dividing the standard deviation of a dataset by its mean and then multiplying the result by 100 to express it as a percentage. This formula makes it easier to interpret the degree of deviation in relation to the average value of the dataset. A higher coefficient of deviation indicates greater variability, while a lower value suggests that the data points are closer to the mean.For example, consider two datasets representing the test scores of two different classes. Class A has scores ranging from 70 to 90, while Class B has scores ranging from 50 to 100. Although both classes have the same mean score of 80, their standard deviations may differ significantly. By calculating the coefficient of deviation, educators can determine which class exhibits more variability in performance. This information can be invaluable for tailoring teaching methods and identifying students who may need additional support.Furthermore, the coefficient of deviation can also be applied in various fields, such as finance, quality control, and research. In finance, for instance, investors use this measure to assess the risk associated with different investment portfolios. A portfolio with a high coefficient of deviation could indicate a higher level of risk, suggesting that the returns may fluctuate significantly over time. Conversely, a low coefficient of deviation may indicate a more stable investment with predictable returns.In quality control, manufacturers often employ the coefficient of deviation to monitor product consistency. By analyzing the variability of measurements taken from production samples, companies can ensure that their products meet specified standards. If the coefficient of deviation exceeds acceptable limits, it may signal the need for adjustments in the production process to maintain quality.In research, the coefficient of deviation serves as a tool for scientists to evaluate the reliability of their experimental results. A low coefficient of deviation suggests that the results are consistent and reproducible, whereas a high value may indicate potential errors or inconsistencies in the data collection process.In conclusion, the coefficient of deviation is a powerful statistical tool that provides insights into the variability of datasets. By allowing researchers, educators, and professionals across various fields to quantify relative variability, it enhances our understanding of data distribution and aids in decision-making processes. Whether used in academic settings, financial analysis, or quality control, the coefficient of deviation remains an essential metric for interpreting data effectively and making informed choices.

在统计学中，理解变异性概念对于有效分析数据至关重要。一个帮助我们理解数据集中存在多少变异的重要指标是偏差系数。偏差系数（coefficient of deviation）是一种统计测量，量化数据集相对于其均值的相对变异性。在比较不同数据集或分布的变异程度时，它特别有用。进一步说，偏差系数通过将数据集的标准差除以其均值，然后将结果乘以100以百分比形式表示来计算。这一公式使得解释相对于数据集平均值的偏差程度变得更加容易。较高的偏差系数表示更大的变异性，而较低的值则表明数据点更接近均值。例如，考虑两个数据集，分别代表两个不同班级的测试成绩。班级A的成绩范围从70到90，而班级B的成绩范围从50到100。尽管两个班级的平均分都是80，但它们的标准差可能有显著差异。通过计算偏差系数，教育工作者可以确定哪个班级的表现展现出更多的变异性。这些信息对于调整教学方法和识别可能需要额外支持的学生至关重要。此外，偏差系数还可以应用于金融、质量控制和研究等多个领域。例如，在金融领域，投资者使用这一指标来评估不同投资组合的风险。高偏差系数的投资组合可能表明风险水平较高，暗示回报可能会随时间波动显著。相反，低偏差系数可能表明投资更稳定，回报可预测。在质量控制中，制造商通常利用偏差系数来监控产品的一致性。通过分析从生产样本中获取的测量值的变异性，公司可以确保其产品符合规定的标准。如果偏差系数超过可接受的限制，这可能表明需要调整生产过程以维持质量。在研究中，偏差系数作为科学家评估实验结果可靠性的工具。低偏差系数表明结果一致且可重复，而高值可能表明数据收集过程中的潜在错误或不一致。总之，偏差系数是一个强大的统计工具，为数据集的变异性提供了深入的见解。通过允许研究人员、教育工作者和各个领域的专业人员量化相对变异性，它增强了我们对数据分布的理解，并有助于决策过程。无论是在学术环境、金融分析还是质量控制中，偏差系数仍然是有效解释数据和做出明智选择的重要指标。