arithmetic mean

简明释义

算术平均

英英释义

例句

1.When analyzing the sales data, we found that the arithmetic mean 算术平均数 was significantly higher than the median.

在分析销售数据时，我们发现算术平均数明显高于中位数。

2.In statistics, the arithmetic mean 算术平均数 is often used to summarize a set of data.

在统计学中，算术平均数常用于总结一组数据。

3.To find the average score of the students, we calculate the arithmetic mean 算术平均数 of their test results.

为了找到学生的平均分，我们计算他们考试成绩的算术平均数。

4.The arithmetic mean 算术平均数 of the monthly temperatures helps us understand the climate of the region.

每月温度的算术平均数有助于我们了解该地区的气候。

5.The arithmetic mean 算术平均数 of these values gives us a good indication of the overall trend.

这些值的算术平均数为我们提供了整体趋势的良好指示。

作文

In the world of mathematics, one of the most fundamental concepts is the arithmetic mean. This term refers to what is commonly known as the average. To calculate the arithmetic mean, you simply add up a set of numbers and then divide that total by the count of those numbers. For instance, if you have the numbers 2, 4, and 6, you would first add them together to get 12. Then, you would divide 12 by 3 (since there are three numbers), resulting in an arithmetic mean of 4.The arithmetic mean is not just a mathematical tool; it has practical applications in various fields, including economics, statistics, and even everyday life. For example, when analyzing the performance of students in a class, teachers often use the arithmetic mean to determine the average score. This helps in understanding how well the class is performing overall and can guide decisions on curriculum adjustments or additional support for students who may be struggling.Moreover, the arithmetic mean can be useful in finance. Investors frequently calculate the arithmetic mean of their returns over a period to assess the average performance of their investments. This information can be pivotal when making future investment decisions, as it provides a clearer picture of what to expect based on historical data.However, it is essential to understand that while the arithmetic mean is a valuable statistic, it does have its limitations. For instance, it can be heavily influenced by outliers—extreme values that differ significantly from other observations. If one student scores exceptionally high while others score much lower, the arithmetic mean may give a misleading impression of the overall performance of the group. In such cases, other measures of central tendency, like the median, might provide a better representation of the data.In addition to its mathematical properties, the arithmetic mean also serves as a bridge between different disciplines. For example, in social sciences, researchers often utilize the arithmetic mean to summarize survey results, helping to identify trends and general sentiments among populations. Similarly, in health studies, the arithmetic mean can help in understanding average health indicators across different demographics.In conclusion, the arithmetic mean is a crucial concept in mathematics that extends far beyond the classroom. It offers insights into various aspects of life, from education to finance and social research. Understanding how to calculate and interpret the arithmetic mean empowers individuals to make informed decisions based on data. As we continue to navigate a world increasingly driven by numbers, mastering the arithmetic mean becomes not just an academic exercise but a necessary skill for everyday life.

在数学的世界中，最基本的概念之一是算术平均数。这个术语指的是通常所称的平均值。计算算术平均数的方法很简单：将一组数字相加，然后将总和除以这些数字的数量。例如，如果你有数字2、4和6，你首先将它们相加得到12。然后，你将12除以3（因为有三个数字），结果是4，即算术平均数。算术平均数不仅仅是一个数学工具；它在经济学、统计学甚至日常生活中都有实际应用。例如，在分析班级学生的表现时，教师通常使用算术平均数来确定平均分数。这有助于了解整个班级的表现如何，并可以指导对课程进行调整或为可能遇到困难的学生提供额外支持。此外，算术平均数在金融领域也很有用。投资者经常计算他们在一段时间内的收益的算术平均数，以评估其投资的平均表现。这些信息在做未来投资决策时至关重要，因为它提供了基于历史数据的更清晰的预期。然而，必须理解的是，虽然算术平均数是一个有价值的统计量，但它也有其局限性。例如，它可能会受到离群值的严重影响——那些与其他观察值显著不同的极端值。如果一个学生的分数异常高，而其他学生的分数则低得多，那么算术平均数可能会给出对整体表现的误导印象。在这种情况下，其他集中趋势的度量，如中位数，可能会更好地代表数据。除了其数学属性之外，算术平均数还在不同学科之间架起了一座桥梁。例如，在社会科学中，研究人员经常利用算术平均数来总结调查结果，帮助识别趋势和总体人群的情绪。同样，在健康研究中，算术平均数可以帮助了解不同人口统计中的平均健康指标。总之，算术平均数是数学中的一个关键概念，远远超出了课堂的范畴。它为生活的各个方面提供了见解，从教育到金融再到社会研究。理解如何计算和解释算术平均数使个人能够根据数据做出明智的决策。随着我们继续在一个越来越依赖数字的世界中导航，掌握算术平均数不仅仅是一个学术练习，而是日常生活中必要的技能。