arithmetic average

简明释义

算术平均

英英释义

例句

1.In statistics, the arithmetic average 算术平均数 is often used to summarize a set of data points.

在统计学中，算术平均数常用于总结一组数据点。

2.To evaluate the project's success, we looked at the arithmetic average 算术平均数 of the return on investment.

为了评估项目的成功，我们查看了投资回报率的算术平均数。

3.The arithmetic average 算术平均数 of the temperatures recorded over a week can indicate climate trends.

一周内记录的温度的算术平均数可以指示气候趋势。

4.To find the overall performance of the class, we calculated the arithmetic average 算术平均数 of all student grades.

为了找出班级的整体表现，我们计算了所有学生成绩的算术平均数。

5.The arithmetic average 算术平均数 of the monthly expenses helps us budget better for the upcoming months.

每月开支的算术平均数有助于我们更好地为接下来的几个月制定预算。

作文

In the realm of mathematics, one of the most fundamental concepts is the arithmetic average, which is a measure of central tendency. The arithmetic average, often referred to simply as the average, is calculated by summing a set of values and then dividing that sum by the number of values. This concept is not only crucial in mathematics but also plays a significant role in various fields such as economics, psychology, and education.To illustrate the importance of the arithmetic average, consider a classroom scenario where a teacher wants to assess the performance of her students in a recent exam. If the scores of the students are 70, 85, 90, 75, and 80, the teacher can find the arithmetic average of these scores to determine how well the class performed overall. By adding the scores together, we get a total of 400. Dividing this total by the number of students, which is 5, gives us an arithmetic average of 80. This simple calculation provides the teacher with a quick insight into the general performance level of her students and helps her identify whether additional support is needed for the class.The arithmetic average is particularly useful because it condenses a large amount of data into a single value that represents the entire dataset. However, while it is a powerful tool, it is essential to understand its limitations. For instance, if one student scored significantly lower than the others, say a score of 50, the arithmetic average would drop to 75. This new average might misrepresent the majority of students who performed well, leading to potentially misguided conclusions about the class's overall performance.Moreover, the arithmetic average is sensitive to outliers, which are extreme values that differ greatly from other observations in the dataset. In the earlier example, the introduction of a score like 50 dramatically affects the average, whereas other measures of central tendency, such as the median, may provide a more accurate reflection of the data without being skewed by outliers.In business, the arithmetic average is often used to analyze financial data. For instance, a company may track its monthly sales over a year to evaluate its performance. By calculating the arithmetic average of monthly sales, management can identify trends and make informed decisions regarding budgeting and forecasting. If the average sales figure shows a consistent increase, it may prompt the company to invest in expansion or marketing strategies.In conclusion, the arithmetic average is a valuable statistical tool that allows individuals and organizations to summarize and interpret data effectively. Its simplicity and ease of calculation make it a popular choice for many applications. However, it is crucial to be aware of its limitations, especially when dealing with datasets that contain outliers. Understanding both the strengths and weaknesses of the arithmetic average will enable users to make better-informed decisions based on their data analysis. As we navigate through various fields and disciplines, the arithmetic average remains a cornerstone of quantitative analysis, serving as a bridge between raw data and meaningful insights.

在数学领域，最基本的概念之一是算术平均数，它是一个集中趋势的度量。算术平均数，通常简称为平均数，是通过将一组值相加，然后将该总和除以值的数量来计算的。这个概念不仅在数学中至关重要，而且在经济学、心理学和教育等多个领域也扮演着重要角色。为了说明算术平均数的重要性，考虑一个课堂场景，其中一位老师想要评估她的学生在最近一次考试中的表现。如果学生的分数分别为70、85、90、75和80，老师可以找到这些分数的算术平均数来确定班级整体表现如何。通过将分数相加，我们得到一个总和400。将这个总和除以学生人数，即5，得出的算术平均数为80。这个简单的计算为老师提供了对学生整体表现水平的快速洞察，并帮助她识别班级是否需要额外支持。算术平均数特别有用，因为它将大量数据浓缩为一个单一值，代表整个数据集。然而，尽管它是一个强大的工具，但理解它的局限性也至关重要。例如，如果有一名学生的分数显著低于其他人，比如得分50，那么算术平均数将降至75。这个新的平均数可能会误导对大多数表现良好的学生的总体表现的看法，从而导致对班级整体表现的潜在误解。此外，算术平均数对离群值敏感，离群值是与数据集中其他观察结果差异很大的极端值。在前面的例子中，分数50的引入会显著影响平均数，而其他集中趋势的度量，例如中位数，可能在不受离群值影响的情况下提供更准确的数据反映。在商业中，算术平均数常用于分析财务数据。例如，一家公司可能会跟踪其一年的月销售额，以评估其业绩。通过计算月销售额的算术平均数，管理层可以识别趋势并做出有关预算和预测的明智决策。如果平均销售数字显示出持续增长，这可能促使公司投资于扩张或营销策略。总之，算术平均数是一个有价值的统计工具，使个人和组织能够有效地总结和解释数据。它的简单性和易于计算使其在许多应用中成为流行选择。然而，了解它的局限性尤其重要，特别是在处理包含离群值的数据集时。理解算术平均数的优缺点将使用户能够根据数据分析做出更明智的决策。在我们穿越各个领域和学科时，算术平均数仍然是定量分析的基石，作为原始数据与有意义的洞察之间的桥梁。