cumulative mean

简明释义

累积平均数

英英释义

例句

1.In finance, analysts often look at the cumulative mean of stock prices over time to identify trends.

在金融领域，分析师通常查看股票价格随时间变化的累积平均值以识别趋势。

2.The teacher calculated the cumulative mean of the students' test scores to assess overall performance.

老师计算了学生考试成绩的累积平均值以评估整体表现。

3.Researchers use the cumulative mean in their studies to analyze data collected over several years.

研究人员在他们的研究中使用累积平均值来分析多年收集的数据。

4.The cumulative mean of daily sales helps the manager understand monthly performance better.

每日销售的累积平均值帮助经理更好地理解月度表现。

5.To improve the accuracy of predictions, we should consider the cumulative mean of past events.

为了提高预测的准确性，我们应该考虑过去事件的累积平均值。

作文

In the field of statistics, understanding various concepts is crucial for data analysis and interpretation. One such concept is the cumulative mean, which plays a significant role in summarizing data over time. The cumulative mean is defined as the average of a set of values that accumulates as new data points are added. This means that each time a new value is introduced, the cumulative mean is recalculated to reflect the overall average of all values collected so far. This method is particularly useful in scenarios where data is collected sequentially, such as in experiments or ongoing surveys.To illustrate the importance of the cumulative mean, consider a simple example: a teacher who records the scores of her students on a series of tests. After each test, she calculates the cumulative mean score to monitor the overall performance of the class. If the scores from the first three tests are 80, 90, and 70, the cumulative mean after these tests would be (80 + 90 + 70) / 3 = 80. However, when the fourth test score of 85 is added, the new cumulative mean becomes (80 + 90 + 70 + 85) / 4 = 81.25. This illustrates how the cumulative mean provides a dynamic view of performance as it changes with each new data point.The cumulative mean is not only limited to academic settings; it is widely used in various fields, including finance, healthcare, and sports. For instance, in finance, investors often track the cumulative mean of stock prices to gauge market trends. By observing how the cumulative mean shifts over time, investors can make informed decisions about buying or selling stocks. Similarly, in healthcare, researchers may use the cumulative mean to analyze patient recovery times after treatment, helping them assess the effectiveness of different therapies.One of the advantages of using the cumulative mean is that it smooths out fluctuations in data, providing a clearer picture of overall trends. However, it is essential to recognize its limitations as well. The cumulative mean can be influenced by outliers—extremely high or low values that can skew the average. For example, if one student scores 100 on a test while others score around 70, the cumulative mean will be raised significantly, potentially misrepresenting the overall performance of the class. Therefore, it is crucial to complement the cumulative mean with other statistical measures, such as the median or mode, to obtain a more comprehensive understanding of the data.In conclusion, the cumulative mean is a valuable statistical tool that helps summarize data effectively as new information becomes available. Its application spans across various disciplines, making it an essential concept for anyone involved in data analysis. By understanding the cumulative mean and its implications, individuals can make better-informed decisions based on the trends and patterns observed in their data, ultimately leading to more accurate conclusions and improved outcomes.

在统计学领域，理解各种概念对数据分析和解释至关重要。其中一个概念是累积均值，它在总结时间序列数据中发挥着重要作用。累积均值被定义为一组值的平均值，该平均值随着新数据点的添加而累积。这意味着每当引入一个新值时，累积均值会重新计算，以反映到目前为止收集的所有值的整体平均值。这种方法在数据按顺序收集的情况下特别有用，例如在实验或持续调查中。为了说明累积均值的重要性，考虑一个简单的例子：一位老师记录她的学生在一系列测试中的得分。在每次测试后，她计算累积均值得分，以监测班级的整体表现。如果前三次测试的得分分别为80、90和70，则这三次测试后的累积均值将为(80 + 90 + 70) / 3 = 80。然而，当第四次测试得分为85时，新的累积均值变为(80 + 90 + 70 + 85) / 4 = 81.25。这说明了累积均值如何提供动态的表现视图，因为它随着每个新数据点的引入而变化。累积均值不仅限于学术环境；它在金融、医疗保健和体育等多个领域广泛使用。例如，在金融领域，投资者经常跟踪股票价格的累积均值以评估市场趋势。通过观察累积均值随时间的变化，投资者可以做出关于买入或卖出股票的明智决策。类似地，在医疗保健中，研究人员可能使用累积均值来分析患者治疗后的恢复时间，帮助他们评估不同疗法的有效性。使用累积均值的一个优点是它平滑了数据中的波动，提供了更清晰的整体趋势图。然而，认识到其局限性也至关重要。累积均值可能受到异常值的影响——极高或极低的值可能会扭曲平均值。例如，如果一名学生在测试中得了100分，而其他学生的得分大约在70分左右，那么累积均值将显著提高，可能会错误地代表班级的整体表现。因此，补充使用其他统计度量，如中位数或众数，以获得对数据的更全面理解是至关重要的。总之，累积均值是一个有价值的统计工具，有助于随着新信息的可用性有效总结数据。它的应用跨越多个学科，使其成为任何参与数据分析的人的基本概念。通过理解累积均值及其含义，个人可以根据所观察到的数据趋势和模式做出更明智的决策，最终导致更准确的结论和改善的结果。