arithmetic mean

简明释义

1. 算术均数; 2. 算术平均; 3. 算术平均值; 4. 算术平均数; 5. 算术中项; 6. 等差中项;

英英释义

例句

1.The arithmetic mean 算术平均数 of the heights of the players on the team gives us an idea of their overall stature.

球队成员身高的算术平均数让我们了解他们的整体身材。

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

为了找出班级的平均分，我们计算所有学生分数的算术平均数。

3.To determine the average profit, we need to calculate the arithmetic mean 算术平均数 of the profits from the last five years.

为了确定平均利润，我们需要计算过去五年的算术平均数利润。

4.The arithmetic mean 算术平均数 of the temperatures recorded over the week was surprisingly high.

一周内记录的温度的算术平均数出乎意料地高。

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

在统计学中，算术平均数通常用于总结数据集。

作文

The concept of the arithmetic mean plays a significant role in various fields, including mathematics, statistics, and even everyday life. The arithmetic mean, often simply referred to as the average, is calculated by adding a set of numbers together and then dividing that sum by the total count of those numbers. This straightforward method provides a central value that represents the entire dataset. Understanding how to compute the arithmetic mean is essential not only for academic purposes but also for making informed decisions based on data analysis.In mathematics, the arithmetic mean is frequently used to summarize a collection of numbers. For example, if a student receives scores of 80, 85, and 90 on three tests, the arithmetic mean can be calculated as follows: first, add the scores together (80 + 85 + 90 = 255), and then divide by the number of tests (255 ÷ 3 = 85). Thus, the arithmetic mean score is 85. This simple calculation helps students understand their performance over multiple assessments and identify areas for improvement.Beyond academics, the arithmetic mean is widely used in various industries. Businesses often utilize the arithmetic mean to analyze sales data, customer feedback, and employee performance. For instance, if a company wants to evaluate its monthly sales figures, it may calculate the arithmetic mean of sales over the past twelve months to gauge overall performance. By understanding this average, managers can make strategic decisions about budgeting, staffing, and marketing initiatives.Moreover, the arithmetic mean is crucial in the field of statistics. It serves as a foundation for more complex statistical analyses. Many statistical tests and models rely on the assumption that data is normally distributed around the arithmetic mean. In research studies, reporting the arithmetic mean of collected data helps convey essential information about the population being studied. For example, in a health study examining the average weight of participants, researchers would calculate the arithmetic mean weight to provide a summary measure that reflects the overall trend.However, it is important to recognize that the arithmetic mean may not always represent the data accurately, especially in cases where there are outliers or skewed distributions. For instance, if one test score is significantly higher than the others, it can disproportionately affect the arithmetic mean, leading to a misleading interpretation of the data. In such cases, other measures of central tendency, such as the median or mode, may provide a more accurate representation of the dataset.In conclusion, the arithmetic mean is a fundamental mathematical concept that facilitates understanding and interpreting data across various contexts. Whether in academic settings, business environments, or scientific research, the ability to calculate and comprehend the arithmetic mean is invaluable. By grasping this concept, individuals can make better decisions and gain deeper insights into the information at hand. As we continue to navigate a data-driven world, mastering the arithmetic mean will undoubtedly enhance our analytical skills and contribute to informed decision-making processes.

“算术平均数”这一概念在数学、统计学甚至日常生活中都发挥着重要作用。“算术平均数”，通常简称为平均数，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。这种简单的方法提供了一个代表整个数据集的中心值。理解如何计算“算术平均数”不仅对学术目的至关重要，而且对于基于数据分析做出明智决策也至关重要。在数学中，“算术平均数”常用于总结一组数字。例如，如果一名学生在三次测试中获得80、85和90分，则可以按如下方式计算“算术平均数”：首先，将分数相加（80 + 85 + 90 = 255），然后除以测试的数量（255 ÷ 3 = 85）。因此，“算术平均数”分数为85。这一简单的计算帮助学生了解他们在多次评估中的表现，并识别需要改进的领域。除了学术界，“算术平均数”在各个行业中也被广泛使用。企业通常利用“算术平均数”来分析销售数据、客户反馈和员工绩效。例如，如果一家公司想评估其每月销售额，它可能会计算过去十二个月的销售额“算术平均数”以评估整体表现。通过了解这一平均值，管理者可以在预算、人员配置和营销计划方面做出战略决策。此外，“算术平均数”在统计学领域中至关重要。它是更复杂统计分析的基础。许多统计检验和模型依赖于数据围绕“算术平均数”正态分布的假设。在研究中，报告收集数据的“算术平均数”有助于传达关于所研究人群的重要信息。例如，在一项健康研究中，研究人员会计算参与者的“算术平均数”体重，以提供反映整体趋势的摘要度量。然而，重要的是要认识到，“算术平均数”并不总能准确代表数据，尤其是在存在离群值或偏斜分布的情况下。例如，如果一个测试分数显著高于其他分数，它可能会不成比例地影响“算术平均数”，导致对数据的误导性解释。在这种情况下，其他集中趋势的度量，如中位数或众数，可能会提供更准确的数据集表示。总之，“算术平均数”是一个基本的数学概念，促进了在各种背景下理解和解释数据的能力。无论是在学术环境、商业环境还是科学研究中，计算和理解“算术平均数”的能力都是无价的。通过掌握这一概念，个人可以做出更好的决策，并深入洞察手头的信息。随着我们继续在一个数据驱动的世界中航行，掌握“算术平均数”无疑将增强我们的分析技能，并有助于做出明智的决策过程。