arithmetic mean

简明释义

算术平均值

英英释义

例句

1.In finance, the arithmetic mean 算术平均数 of returns can help investors assess performance.

在金融中，收益的算术平均数可以帮助投资者评估表现。

2.To compare the two groups, we need to look at the arithmetic mean 算术平均数 of their test scores.

为了比较这两个组，我们需要查看他们考试成绩的算术平均数。

3.To find the average score of the class, we calculate the arithmetic mean 算术平均数 of all students' grades.

为了找到班级的平均分，我们计算所有学生成绩的算术平均数。

4.The arithmetic mean 算术平均数 of the data set is essential for statistical analysis.

数据集的算术平均数对于统计分析至关重要。

5.The teacher explained how to calculate the arithmetic mean 算术平均数 using a simple formula.

老师解释了如何使用简单的公式计算算术平均数。

作文

The concept of the arithmetic mean is fundamental in mathematics and statistics. It is often referred to as the average, and it plays a crucial role in data analysis. The arithmetic mean is calculated by adding up a set of numbers and then dividing the sum by the total count of those numbers. For example, if we have a set of numbers: 4, 8, 6, and 10, we first add them together to get 28. Then, we divide 28 by the number of values, which is 4. Therefore, the arithmetic mean of this set is 7.Understanding the arithmetic mean is essential for various applications in real life. For instance, in a classroom, teachers often use the arithmetic mean to determine the average score of students on an exam. If five students scored 70, 80, 90, 100, and 60, the teacher would calculate the arithmetic mean by adding these scores to get 400 and then dividing by 5, resulting in an average score of 80. This average helps the teacher understand how well the class performed overall.In addition to education, the arithmetic mean is widely used in economics and finance. Investors often look at the arithmetic mean return of an investment over time to gauge its performance. For instance, if an investment yields returns of 5%, 10%, and 15% over three years, the arithmetic mean return would be calculated as follows: (5 + 10 + 15) / 3 = 10%. This average return provides investors with a simplified view of the investment's profitability.However, it is important to note that the arithmetic mean can sometimes be misleading, especially in datasets with extreme values or outliers. For example, consider a scenario where most employees in a company earn between $30,000 and $50,000, but one employee earns $1,000,000. The arithmetic mean salary would be skewed significantly higher due to this outlier, potentially giving a false impression of the typical salary within the company. In such cases, other measures like the median may provide a better representation of the central tendency of the data.Moreover, the arithmetic mean has limitations when dealing with non-numeric data or categorical variables. For instance, if we want to analyze the favorite colors of a group of people, calculating an arithmetic mean would not make sense, as colors are not quantifiable in numerical terms. Instead, we might use modes or percentages to represent the most common preferences.In conclusion, the arithmetic mean is a powerful tool in mathematics that allows us to summarize data effectively. It provides valuable insights in various fields, from education to economics. However, it is essential to be aware of its limitations and potential pitfalls, particularly in the presence of outliers or non-numeric data. By understanding and applying the arithmetic mean correctly, we can make informed decisions based on numerical data, leading to better outcomes in both academic and professional settings.

“算术平均数”的概念在数学和统计学中是基础性的。它通常被称为平均数，在数据分析中发挥着至关重要的作用。“算术平均数”是通过将一组数字相加，然后将总和除以这些数字的总数来计算的。例如，如果我们有一组数字：4、8、6和10，我们首先将它们加在一起得到28。然后，我们将28除以值的数量，即4。因此，这组数据的“算术平均数”为7。理解“算术平均数”对于现实生活中的各种应用至关重要。例如，在课堂上，教师常常使用“算术平均数”来确定学生在考试中的平均分数。如果五名学生分别得分70、80、90、100和60，教师会通过将这些分数相加得到400，然后除以5，得出平均分数为80。这一平均值帮助教师了解班级整体表现如何。除了教育，“算术平均数”在经济学和金融中也被广泛使用。投资者通常查看投资在一段时间内的“算术平均数”回报，以评估其表现。例如，如果一项投资在三年内的回报率为5%、10%和15%，那么“算术平均数”回报将按如下方式计算：(5 + 10 + 15) / 3 = 10%。这一平均回报为投资者提供了对投资盈利能力的简化视图。然而，重要的是要注意，“算术平均数”在处理极端值或离群值的数据集时，有时可能会产生误导。例如，考虑一个场景，大多数公司员工的收入在30,000到50,000美元之间，但有一名员工的收入为1,000,000美元。在这种情况下，由于这个离群值，“算术平均数”薪资将显著偏高，可能给人一种公司内部典型薪资的错误印象。在这种情况下，其他指标如中位数可能更好地代表数据的集中趋势。此外，当处理非数值数据或分类变量时，“算术平均数”也存在局限性。例如，如果我们想分析一组人最喜欢的颜色，计算“算术平均数”将没有意义，因为颜色在数值上是不可量化的。相反，我们可能会使用众数或百分比来表示最常见的偏好。总之，“算术平均数”是数学中一个强大的工具，使我们能够有效地总结数据。它在教育到经济等各个领域提供了宝贵的见解。然而，意识到它的局限性和潜在陷阱，特别是在存在离群值或非数值数据时，是至关重要的。通过正确理解和应用“算术平均数”，我们可以基于数值数据做出明智的决策，从而在学术和职业环境中获得更好的结果。