arithmetic mean

简明释义

算术均数

英英释义

例句

1.In statistics, the arithmetic mean 算术平均数 is often referred to as the average.

在统计学中，算术平均数通常被称为平均值。

2.When analyzing the monthly expenses, we used the arithmetic mean 算术平均数 to determine the average spending.

在分析每月开支时，我们使用了算术平均数来确定平均消费。

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

为了找出班级的平均分，我们计算了所有学生考试成绩的算术平均数。

4.The arithmetic mean 算术平均数 of the data set is essential for understanding its central tendency.

数据集的算术平均数对于理解其集中趋势至关重要。

5.The formula for calculating the arithmetic mean 算术平均数 is simple: add all the numbers and divide by the count.

计算算术平均数的公式很简单：将所有数字相加，然后除以数量。

作文

The concept of the arithmetic mean is fundamental in statistics and mathematics. It is commonly known as the average and is calculated by adding a set of numbers together and then dividing that sum by the total count of those numbers. Understanding the arithmetic mean is crucial for analyzing data, making informed decisions, and solving various problems in everyday life. In this essay, we will explore the definition, calculation, significance, and applications of the arithmetic mean in different fields.To begin with, let’s define the arithmetic mean. Suppose we have a set of numbers: 4, 8, 10, and 12. To find the arithmetic mean, we first add these numbers together: 4 + 8 + 10 + 12 = 34. Next, we divide that sum by the number of values in the set, which in this case is 4. Thus, the arithmetic mean is 34 / 4 = 8.5. This simple calculation illustrates how the arithmetic mean provides a single value that represents the central tendency of the data.The significance of the arithmetic mean cannot be overstated. It serves as a useful measure of central tendency, allowing us to summarize large sets of data with a single number. This is particularly beneficial in fields such as economics, psychology, and social sciences, where researchers often deal with extensive datasets. For example, if a school wants to determine the average score of its students on a math test, it can use the arithmetic mean to calculate this average score, which helps in assessing overall student performance.Moreover, the arithmetic mean is widely used in various practical situations. In finance, it helps investors assess the average return on investment over a specific period. By calculating the arithmetic mean of past returns, investors can make more informed decisions about future investments. Similarly, in sports, coaches and analysts often use the arithmetic mean to evaluate players’ performances by averaging their scores or statistics over a season.However, while the arithmetic mean is an essential tool, it is important to recognize its limitations. One significant drawback is its sensitivity to extreme values, also known as outliers. For instance, if we have a dataset of incomes: $30,000, $35,000, $40,000, and $1,000,000, the arithmetic mean would be skewed significantly by the high income of $1,000,000, resulting in an average income that does not accurately represent the majority of the data. In such cases, other measures of central tendency, such as the median, may provide a better representation of the data.In conclusion, the arithmetic mean is a vital concept that plays a crucial role in statistics and data analysis. Its ability to summarize data into a single value makes it a valuable tool across various fields, from education to finance. However, it is essential to use the arithmetic mean judiciously and to be aware of its limitations, particularly in the presence of outliers. By understanding the arithmetic mean, individuals can enhance their analytical skills and make more informed decisions based on data.

“算术平均数”的概念在统计学和数学中是基础的。它通常被称为平均值，通过将一组数字相加，然后将该总和除以这些数字的总数来计算。理解“算术平均数”对于分析数据、做出明智的决策以及解决日常生活中的各种问题至关重要。在这篇文章中，我们将探讨“算术平均数”的定义、计算、重要性及其在不同领域的应用。首先，让我们定义一下“算术平均数”。假设我们有一组数字：4、8、10和12。要找到“算术平均数”，我们首先将这些数字相加：4 + 8 + 10 + 12 = 34。接下来，我们将该总和除以集合中的值的数量，在这种情况下是4。因此，“算术平均数”为34 / 4 = 8.5。这一简单的计算说明了“算术平均数”如何提供一个单一值，代表数据的集中趋势。“算术平均数”的重要性不容小觑。它作为一个有用的集中趋势测量，使我们能够用一个数字总结大量数据。这在经济学、心理学和社会科学等领域尤其有益，因为研究人员经常处理广泛的数据集。例如，如果一所学校想要确定其学生在数学测试中的平均分数，它可以使用“算术平均数”来计算这个平均分数，这有助于评估整体学生表现。此外，“算术平均数”在各种实际情况下被广泛使用。在金融领域，它帮助投资者评估特定时期内的平均投资回报。通过计算过去回报的“算术平均数”，投资者可以对未来投资做出更明智的决策。同样，在体育运动中，教练和分析师经常使用“算术平均数”来评估球员的表现，通过平均他们在一个赛季中的得分或统计数据。然而，虽然“算术平均数”是一个重要工具，但认识到它的局限性也很重要。一个显著的缺点是它对极端值（也称为离群值）的敏感性。例如，如果我们有一个收入数据集：$30,000、$35,000、$40,000和$1,000,000，那么“算术平均数”会被$1,000,000的高收入显著扭曲，导致平均收入不能准确代表大多数数据。在这种情况下，其他集中趋势的测量方法，例如中位数，可能会更好地表示数据。总之，“算术平均数”是一个重要的概念，在统计学和数据分析中发挥着关键作用。它将数据总结为一个单一值的能力使其成为各个领域（从教育到金融）的宝贵工具。然而，必须谨慎使用“算术平均数”，并意识到其局限性，特别是在存在离群值的情况下。通过理解“算术平均数”，个人可以增强他们的分析技能，并根据数据做出更明智的决策。