weighted mean; mean weighted

简明释义

加权平均值

英英释义

例句

1.To calculate the final grade, we use a weighted mean 加权平均数 of the exam scores and homework assignments.

为了计算最终成绩，我们使用考试分数和作业的加权平均数 weighted mean。

2.In finance, the mean weighted 加权平均数 cost of capital helps determine the overall cost of funding.

在金融中，加权平均数 mean weighted 资本成本有助于确定整体融资成本。

3.The survey results were analyzed using a weighted mean 加权平均数 to account for different sample sizes.

调查结果使用加权平均数 weighted mean 进行分析，以考虑不同的样本大小。

4.Using a mean weighted 加权平均数 approach allows us to give more importance to certain data points.

使用加权平均数 mean weighted 方法使我们能够给予某些数据点更多的重要性。

5.In statistics, the weighted mean 加权平均数 is often used when dealing with averages of different groups.

在统计学中，加权平均数 weighted mean 通常用于处理不同组的平均值。

作文

In the world of statistics, understanding different methods of calculating averages is crucial for accurately interpreting data. One such method is the weighted mean, which is particularly useful when dealing with datasets where certain values hold more significance than others. For instance, in a classroom setting, if we want to calculate the average grade of students, we might consider that exams have a greater impact on the final grade than homework assignments. In this case, we would use the mean weighted approach to ensure that the exam scores contribute more heavily to the overall average. The weighted mean is calculated by multiplying each value in the dataset by a predetermined weight, summing these products, and then dividing by the total of the weights. This method allows us to reflect the importance of each value more accurately than a simple arithmetic mean, which treats all values equally. For example, if a student scored 90 on an exam (weight of 0.7) and 80 on homework (weight of 0.3), the mean weighted would be calculated as follows: (90 * 0.7 + 80 * 0.3) / (0.7 + 0.3) = 87. This calculation shows that the student's performance on the exam carries more weight in determining their overall average, which is often more representative of their true abilities. In fields such as finance and economics, the weighted mean is also prevalent. For instance, when analyzing investment portfolios, returns from different assets may need to be weighted according to the proportion of the total investment they represent. This ensures that larger investments have a greater influence on the overall return, providing a clearer picture of performance. Moreover, the mean weighted can be applied in various other contexts, such as calculating the average price of goods in a market where some items are sold in larger quantities than others. By employing the weighted mean, analysts can gain insights that would be obscured by using a simple average. For example, if a store sells 100 units of Product A at $10 each and 50 units of Product B at $20 each, the average price per unit using the mean weighted would be (100 * 10 + 50 * 20) / (100 + 50) = $13.33. This result is more informative than simply averaging the two prices, which would yield $15. In conclusion, the weighted mean is a powerful statistical tool that enhances our ability to analyze data by accounting for the varying significance of different values. Whether in education, finance, or market analysis, employing the mean weighted method allows for a more nuanced understanding of averages. As we continue to navigate through complex datasets, mastering the concept of weighted mean will undoubtedly enhance our analytical skills and improve decision-making processes.

在统计学的世界中，理解不同的平均值计算方法对于准确解读数据至关重要。其中一种方法是加权平均数，它在处理某些值的重要性高于其他值的数据集时特别有用。例如，在课堂环境中，如果我们想计算学生的平均成绩，我们可能会考虑到考试对最终成绩的影响大于作业。在这种情况下，我们将使用加权平均数的方法，以确保考试分数在整体平均中占据更大的比重。加权平均数的计算方法是将数据集中每个值乘以预定的权重，求出这些乘积的总和，然后除以权重的总和。这种方法使我们能够比简单的算术平均数更准确地反映每个值的重要性，因为算术平均数对所有值一视同仁。例如，如果一名学生在考试中得了90分（权重为0.7），在作业中得了80分（权重为0.3），那么加权平均数将按如下方式计算：(90 * 0.7 + 80 * 0.3) / (0.7 + 0.3) = 87。这个计算显示，该学生在考试中的表现对其整体平均分有更大的影响，这通常更能代表他们的真实能力。在金融和经济等领域，加权平均数也很常见。例如，在分析投资组合时，可能需要根据各资产在总投资中所占的比例对收益进行加权。这确保了较大投资对整体回报有更大的影响，从而提供更清晰的表现图景。此外，加权平均数还可以应用于其他各种上下文，例如计算市场中商品的平均价格，其中一些商品的销售数量大于其他商品。通过采用加权平均数，分析师可以获得使用简单平均数无法显现的洞察。例如，如果一家商店以每单位$10的价格销售100个A产品，以每单位$20的价格销售50个B产品，则使用加权平均数计算的平均价格为(100 * 10 + 50 * 20) / (100 + 50) = $13.33。这个结果比简单地平均两个价格更具信息性，后者将得出$15。总之，加权平均数是一个强大的统计工具，通过考虑不同值的重要性来增强我们分析数据的能力。无论是在教育、金融还是市场分析中，采用加权平均数方法都能让我们对平均值有更细致的理解。随着我们继续在复杂的数据集中导航，掌握加权平均数的概念无疑将提升我们的分析技能并改善决策过程。