arithmetical mean

简明释义

1. 算术平均数; 2. 算术平均值;

英英释义

例句

1.In statistics, the arithmetical mean 算术平均数 is often used to summarize data sets.

在统计学中，算术平均数常用于总结数据集。

2.To improve your fitness, you can calculate the arithmetical mean 算术平均数 of your workout times each week.

为了改善你的健身效果，你可以计算每周锻炼时间的算术平均数。

3.To find the average score of the class, we calculate the arithmetical 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.When analyzing sales data, the arithmetical mean 算术平均数 helps businesses understand their average performance.

在分析销售数据时，算术平均数帮助企业了解其平均表现。

5.The arithmetical mean 算术平均数 of the temperatures recorded over a week gives us an idea of the overall climate.

一周内记录的温度的算术平均数可以让我们了解整体气候。

作文

The concept of the arithmetical mean is fundamental in mathematics and statistics. It is often referred to as the average and is calculated by summing a set of numbers and then dividing that sum by the count of the numbers. Understanding the arithmetical mean is crucial not only for academic purposes but also for practical applications in daily life. For instance, when evaluating the performance of students in a class, teachers often use the arithmetical mean to determine the overall performance level. To illustrate how the arithmetical mean works, consider a simple example. Suppose five students scored the following marks in a test: 70, 85, 90, 75, and 80. To find the arithmetical mean, we first add these scores together: 70 + 85 + 90 + 75 + 80 = 400. Next, we divide this sum by the number of students, which is 5. Therefore, the arithmetical mean is 400 ÷ 5 = 80. This means that the average score of the students is 80, providing a concise measure of their performance.The arithmetical mean is widely used in various fields, including economics, psychology, and healthcare. In economics, it can be used to analyze average income levels among different populations. For example, if we want to understand the average income of a community, we can collect income data from a sample of households, calculate the arithmetical mean, and gain insights into the economic status of that community. This information can be crucial for policymakers when designing programs aimed at improving living standards.In psychology, researchers often employ the arithmetical mean to summarize data collected from experiments or surveys. When assessing the effectiveness of a new therapy, psychologists might gather scores from participants before and after treatment. By calculating the arithmetical mean of these scores, they can determine whether there was a significant improvement in the participants' mental health.Healthcare professionals also utilize the arithmetical mean in various ways. For instance, when analyzing patient recovery times after surgery, doctors may calculate the arithmetical mean of recovery durations to estimate how long future patients might expect to recover. This information helps in planning and resource allocation within healthcare facilities.However, while the arithmetical mean is a useful measure, it is essential to recognize its limitations. One significant drawback is that it can be heavily influenced by outliers—extreme values that differ significantly from other observations. For example, if one student scored 30 in the earlier example while the others scored between 70 and 90, the arithmetical mean would drop considerably, leading to a misleading representation of the students' overall performance. In such cases, other measures like the median or mode may provide a more accurate picture.In conclusion, the arithmetical mean is a valuable statistical tool that serves various purposes across different fields. Whether in education, economics, psychology, or healthcare, understanding how to calculate and interpret the arithmetical mean can lead to better decision-making and insights. However, it is equally important to be aware of its limitations and to consider other statistical measures when necessary. By doing so, we can ensure a more comprehensive understanding of the data we encounter in our lives.

“算术平均数”这一概念在数学和统计学中是基础性的。它通常被称为平均值，通过将一组数字相加，然后将这个总和除以数字的数量来计算。“算术平均数”的理解不仅对学术目的至关重要，还对日常生活中的实际应用至关重要。例如，在评估一个班级学生的表现时，教师通常使用“算术平均数”来确定整体表现水平。为了说明“算术平均数”的工作原理，考虑一个简单的例子。假设五名学生在一次测试中得分如下：70、85、90、75和80。要找到“算术平均数”，我们首先将这些分数加在一起：70 + 85 + 90 + 75 + 80 = 400。接下来，我们将这个总和除以学生的数量，即5。因此，“算术平均数”为400 ÷ 5 = 80。这意味着学生的平均分数是80，提供了他们表现的简明衡量。“算术平均数”在经济学、心理学和医疗保健等多个领域被广泛使用。在经济学中，它可以用来分析不同人群之间的平均收入水平。例如，如果我们想了解一个社区的平均收入，我们可以收集一部分家庭的收入数据，计算“算术平均数”，并获得该社区经济状况的见解。这些信息对于政策制定者在设计旨在改善生活标准的项目时至关重要。在心理学中，研究人员经常使用“算术平均数”来总结从实验或调查中收集的数据。当评估新疗法的有效性时，心理学家可能会在治疗前后收集参与者的分数。通过计算这些分数的“算术平均数”，他们可以确定参与者的心理健康是否有显著改善。医疗专业人员也以各种方式利用“算术平均数”。例如，在分析患者手术后的恢复时间时，医生可能会计算恢复持续时间的“算术平均数”，以估计未来患者可能期待的恢复时间。这些信息有助于医疗机构内的计划和资源分配。然而，尽管“算术平均数”是一个有用的衡量标准，但必须认识到其局限性。一个重大缺陷是它可能受到极端值的严重影响——与其他观察结果明显不同的极端值。例如，如果一名学生得分为30，而其他学生的分数在70到90之间，那么“算术平均数”会大幅下降，导致对学生整体表现的误导性描述。在这种情况下，其他指标如中位数或众数可能提供更准确的图景。总之，“算术平均数”是一个有价值的统计工具，在不同领域服务于多种目的。无论是在教育、经济学、心理学还是医疗保健中，理解如何计算和解释“算术平均数”都能带来更好的决策和见解。然而，同样重要的是要意识到其局限性，并在必要时考虑其他统计指标。通过这样做，我们可以确保更全面地理解我们在生活中遇到的数据。