arithmetic average; arithmetic mean

简明释义

算术平均数，算术平均值

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 numbers.

在统计学中，算术平均数通常用于总结一组数字。

2.The teacher explained that the arithmetic average 算术平均数 is simply the total divided by the number of items.

老师解释说，算术平均数仅仅是总和除以项目数量。

3.To analyze the sales performance, we calculated the arithmetic mean 算术平均数 of the monthly sales figures.

为了分析销售表现，我们计算了每月销售额的算术平均数。

4.To find the overall score, we calculate the arithmetic average 算术平均数 of all test results.

为了找到总分，我们计算所有测试结果的算术平均数。

5.The arithmetic mean 算术平均数 of the data set gives us a good indication of the central tendency.

数据集的算术平均数为我们提供了一个很好的中心趋势指示。

作文

In mathematics, the term arithmetic average or arithmetic mean plays a crucial role in data analysis and statistics. It is a fundamental concept that helps us understand and summarize a set of numbers. The arithmetic average is calculated by adding up all the values in a dataset and then dividing that sum by the total number of values. This simple yet powerful calculation provides a single value that represents the central tendency of the data. For instance, if we have a set of numbers: 4, 8, 6, 5, and 3, we can find the arithmetic mean by first adding these numbers together, which gives us 26. Then, we divide 26 by the number of values, which is 5. Therefore, the arithmetic average is 5.2.Understanding the arithmetic mean is essential in various fields such as economics, psychology, and education. In economics, for example, calculating the arithmetic average of income levels can help policymakers assess the economic well-being of a population. If the average income is significantly low, it may indicate a need for intervention or support programs. Similarly, in education, teachers often use the arithmetic mean to evaluate student performance. By calculating the arithmetic average of test scores, they can identify trends and areas that require improvement.However, it is important to note that the arithmetic mean can sometimes be misleading, especially in datasets with outliers. An outlier is a value that is significantly higher or lower than the other values in the dataset. For example, consider the test scores of five students: 90, 92, 88, 91, and 10. The arithmetic average of these scores would be (90 + 92 + 88 + 91 + 10) / 5 = 74.2. This average does not accurately reflect the performance of the majority of the students, as the score of 10 is an outlier that skews the result. In cases like this, other measures of central tendency, such as the median or mode, may provide a more accurate representation of the data.Moreover, the arithmetic average is widely used in everyday life. People often encounter it when evaluating sports statistics, such as batting averages in baseball or points per game in basketball. These statistics are calculated using the arithmetic mean, allowing fans and analysts to compare player performances effectively. Additionally, businesses utilize the arithmetic average to analyze sales figures and customer satisfaction ratings. By understanding the average performance, companies can make informed decisions about their products and services.In conclusion, the arithmetic average or arithmetic mean is a vital concept in mathematics and statistics that helps us summarize and analyze data. While it provides valuable insights into central tendencies, it is crucial to be aware of its limitations, particularly in the presence of outliers. Whether in academic settings, economic analysis, or everyday decision-making, understanding the arithmetic mean enhances our ability to interpret data and draw meaningful conclusions.

在数学中，术语算术平均数或算术均值在数据分析和统计中发挥着至关重要的作用。这是一个基本概念，帮助我们理解和总结一组数字。算术平均数通过将数据集中的所有值相加，然后将总和除以值的总数来计算。这个简单而强大的计算提供了一个单一的值，代表数据的集中趋势。例如，如果我们有一组数字：4、8、6、5和3，我们可以通过首先将这些数字加在一起来找到算术均值，结果是26。然后，我们将26除以值的数量，即5。因此，算术平均数为5.2。理解算术均值在经济学、心理学和教育等各个领域都是必不可少的。例如，在经济学中，计算收入水平的算术平均数可以帮助政策制定者评估人口的经济福祉。如果平均收入显著偏低，这可能表明需要干预或支持项目。同样，在教育中，教师通常使用算术均值来评估学生表现。通过计算考试成绩的算术平均数，他们可以识别趋势和需要改进的领域。然而，重要的是要注意，算术均值在某些情况下可能会产生误导，特别是在存在异常值的数据集中。异常值是指在数据集中显著高于或低于其他值的值。例如，考虑五名学生的考试成绩：90、92、88、91和10。这些分数的算术平均数将是(90 + 92 + 88 + 91 + 10) / 5 = 74.2。这个平均数并不能准确反映大多数学生的表现，因为10的分数是一个异常值，扭曲了结果。在这种情况下，其他集中趋势的测量，如中位数或众数，可能会更准确地表示数据。此外，算术平均数在日常生活中被广泛使用。当评估体育统计数据时，人们经常遇到它，比如棒球中的击球率或篮球中的每场得分。这些统计数据是通过算术均值计算的，使粉丝和分析师能够有效地比较球员表现。此外，企业利用算术平均数来分析销售数据和客户满意度评分。通过了解平均表现，公司可以就其产品和服务做出明智的决策。总之，算术平均数或算术均值是数学和统计中的一个重要概念，帮助我们总结和分析数据。虽然它提供了对集中趋势的宝贵见解，但在存在异常值的情况下，意识到其局限性至关重要。无论是在学术环境、经济分析还是日常决策中，理解算术均值都增强了我们解释数据和得出有意义结论的能力。