weighted mean

简明释义

加权平均

英英释义

例句

1.In statistics, the weighted mean 加权平均数 is often used to calculate an average that takes into account the importance of each value.

在统计学中，weighted mean 加权平均数 通常用于计算考虑每个值重要性的平均值。

2.When assessing student grades, teachers may use a weighted mean 加权平均数 to give more importance to exams than homework.

在评估学生成绩时，教师可能会使用 weighted mean 加权平均数 来给予考试比作业更大的重要性。

3.The financial analyst calculated the weighted mean 加权平均数 of the stock prices to better understand the market trends.

金融分析师计算了股票价格的 weighted mean 加权平均数 以更好地理解市场趋势。

4.To determine the overall performance, the company calculated the weighted mean 加权平均数 of all departments based on their budget contributions.

为了确定整体表现，公司根据各部门的预算贡献计算了 weighted mean 加权平均数 。

5.In a survey, the weighted mean 加权平均数 was used to ensure that responses from different demographics were appropriately represented.

在一项调查中，使用了 weighted mean 加权平均数 以确保不同人群的反馈得到适当代表。

作文

In the realm of statistics, the concept of the weighted mean plays a crucial role in data analysis and interpretation. Unlike the simple arithmetic mean, which treats all values equally, the weighted mean assigns different weights to various values based on their importance or frequency. This allows for a more nuanced understanding of the data set, especially when certain values are more significant than others. For instance, consider a student’s grades in different subjects. If a student receives an A in mathematics, which is worth 40% of the final grade, and a B in history, which is worth only 20%, the overall impact of these grades on the final score is not the same. Here, using a weighted mean enables us to calculate a more accurate representation of the student's performance.To compute the weighted mean, one must multiply each value by its corresponding weight and then sum these products. Finally, this sum is divided by the total of the weights. This formula can be expressed as follows: Weighted Mean = (Σ(weight × value)) / Σ(weight)This mathematical approach is particularly useful in various fields, including economics, finance, and education. For example, in finance, investors often use the weighted mean to evaluate the average return of a portfolio that includes multiple assets, each with a different level of investment. By applying the weighted mean, investors can make informed decisions that reflect the true performance of their investments.Moreover, the weighted mean can also be instrumental in survey analysis. When conducting surveys, responses may vary significantly in terms of relevance or reliability. By assigning weights to different responses based on criteria such as demographic representation or response quality, researchers can derive insights that are more representative of the entire population. This method enhances the validity of the conclusions drawn from the survey data.In educational settings, the weighted mean is often utilized to determine students' GPAs. Different courses may carry varying credit hours, reflecting their significance in a student's academic journey. By calculating the GPA using the weighted mean, educational institutions can provide a fair assessment of a student's academic achievements, taking into account both the grades received and the credit hours of each course.Despite its advantages, it is essential to apply the weighted mean judiciously. Misapplication of weights can lead to skewed results and misinterpretations. Therefore, it is vital for analysts and researchers to carefully consider which weights to assign and ensure that they accurately reflect the significance of the data points involved.In conclusion, the weighted mean is a powerful statistical tool that enhances our ability to analyze complex data sets. By giving appropriate significance to different values, it allows for a more accurate representation of information across various domains. Whether in academics, finance, or research, understanding and applying the weighted mean can lead to more informed decisions and insights. As we continue to navigate an increasingly data-driven world, mastering concepts like the weighted mean becomes ever more critical for effective analysis and interpretation.

在统计学领域，加权平均数的概念在数据分析和解释中起着至关重要的作用。与简单算术平均数不同，后者将所有值视为相等，加权平均数则根据各个值的重要性或频率分配不同的权重。这使我们能够对数据集有更细致的理解，尤其是在某些值比其他值更重要的情况下。例如，考虑一个学生在不同科目中的成绩。如果一名学生在数学中获得A（占最终成绩的40%），而在历史中获得B（仅占20%），那么这些成绩对最终分数的整体影响是不同的。在这里，使用加权平均数可以帮助我们计算出学生表现的更准确的代表。要计算加权平均数，必须将每个值乘以其对应的权重，然后将这些乘积相加。最后，将这个总和除以权重的总和。这个公式可以用以下方式表示：加权平均数 = (Σ(权重 × 值)) / Σ(权重)这种数学方法在经济学、金融学和教育等多个领域中尤为有用。例如，在金融领域，投资者通常使用加权平均数来评估包含多种资产的投资组合的平均回报，而每种资产的投资水平不同。通过应用加权平均数，投资者可以做出反映其投资真实表现的明智决策。此外，加权平均数在调查分析中也非常重要。在进行调查时，响应可能在相关性或可靠性方面有显著差异。通过根据人口统计代表性或响应质量等标准为不同响应分配权重，研究人员可以得出更具代表性的见解。这种方法增强了从调查数据中得出的结论的有效性。在教育环境中，加权平均数通常用于确定学生的GPA。不同课程可能有不同的学分，这反映了它们在学生学业旅程中的重要性。通过使用加权平均数计算GPA，教育机构可以公平地评估学生的学术成就，同时考虑到所获得的成绩和每门课程的学分。尽管具有优势，但必须谨慎应用加权平均数。不当使用权重可能导致结果偏差和误解。因此，分析师和研究人员必须仔细考虑分配哪些权重，并确保它们准确反映相关数据点的重要性。总之，加权平均数是一种强大的统计工具，增强了我们分析复杂数据集的能力。通过给予不同值适当的重要性，它允许在各个领域对信息进行更准确的表示。无论是在学术、金融还是研究中，理解和应用加权平均数都能带来更明智的决策和见解。随着我们继续在一个日益数据驱动的世界中航行，掌握像加权平均数这样的概念变得越来越重要，以便进行有效的分析和解释。