arithmetic average

简明释义

1. 算术平均; 2. 算术平均值; 3. 运算平均;

英英释义

例句

1.The teacher explained that the arithmetic average 算术平均数 is simply the sum of all values divided by the number of values.

老师解释说，算术平均数就是所有数值的总和除以数值的数量。

2.To find the overall score of the class, we calculated the arithmetic average 算术平均数 of all student grades.

为了找出班级的总体分数，我们计算了所有学生成绩的算术平均数。

3.To evaluate the performance of our investments, we looked at the arithmetic average 算术平均数 return over the past five years.

为了评估我们的投资表现，我们查看了过去五年的算术平均数收益率。

4.The arithmetic average 算术平均数 of the temperatures over the week gives us an idea of the climate.

一周内温度的算术平均数可以让我们了解气候情况。

5.In statistics, the arithmetic average 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。

作文

In our daily lives, we often encounter various types of data that need to be analyzed for better understanding. One of the most common methods used to summarize numerical data is through the concept of the arithmetic average. The arithmetic average, also known as the mean, is calculated by adding up all the values in a dataset and then dividing that sum by the number of values. This simple yet powerful statistical tool allows us to derive a single representative value from a set of numbers, making it easier to comprehend large amounts of data.For instance, consider a scenario where a teacher wants to evaluate the performance of her students in a mathematics test. She collects the scores of all her students: 70, 85, 90, 75, and 80. To find the arithmetic average of these scores, she would first sum them up: 70 + 85 + 90 + 75 + 80 = 400. Then, she divides this total by the number of students, which is 5. Therefore, the arithmetic average score is 400 / 5 = 80. This means that, on average, the students scored 80 on the test, providing the teacher with a quick insight into their overall performance.The arithmetic average is particularly useful in various fields such as economics, psychology, and education. In economics, for example, analysts often use the arithmetic average to determine the average income of a population, which can help in understanding the economic status of different regions. Similarly, in psychology, researchers might use the arithmetic average to analyze survey results and gauge the general opinion or behavior of a group.However, while the arithmetic average is a valuable statistical measure, it is important to note its limitations. The arithmetic average can be heavily influenced by outliers, which are extreme values that differ significantly from other observations in the dataset. For example, if one student scored 10 on the same test mentioned earlier, the new calculation would be 70 + 85 + 90 + 75 + 80 + 10 = 410, and the arithmetic average would then become 410 / 6 = approximately 68.33. This significant drop in the average score demonstrates how one low score can skew the overall result, leading to potentially misleading conclusions.To mitigate the impact of outliers, statisticians often recommend using other measures of central tendency, such as the median or mode, alongside the arithmetic average. The median, which represents the middle value when all numbers are arranged in order, can provide a more accurate picture of the data when outliers are present. In our previous example, if we arrange the scores (10, 70, 75, 80, 85, 90), the median score would be 77.5, offering a different perspective on the students' performance.In conclusion, the arithmetic average is a fundamental concept in statistics that plays a crucial role in data analysis across various domains. While it provides a convenient way to summarize data, it is essential to be aware of its limitations and consider additional statistical measures to gain a comprehensive understanding of the data at hand. By doing so, we can make more informed decisions based on a thorough analysis of the information available to us.

在我们的日常生活中，我们经常会遇到需要分析的各种数据，以便更好地理解。用来总结数值数据的最常见方法之一就是通过算术平均数的概念。算术平均数，也称为均值，是通过将数据集中所有值相加，然后将该总和除以值的数量来计算的。这种简单而强大的统计工具使我们能够从一组数字中得出一个单一的代表值，从而更容易理解大量数据。例如，考虑一个场景，一位老师想评估她学生在数学测试中的表现。她收集了所有学生的分数：70、85、90、75和80。为了找到这些分数的算术平均数，她首先将它们相加：70 + 85 + 90 + 75 + 80 = 400。然后，她将这个总数除以学生的数量，即5。因此，算术平均数分数为400 / 5 = 80。这意味着，平均而言，学生在测试中得分为80，为老师提供了对他们整体表现的快速洞察。算术平均数在经济学、心理学和教育等各个领域都特别有用。例如，在经济学中，分析师通常使用算术平均数来确定人口的平均收入，这可以帮助了解不同地区的经济状况。同样，在心理学中，研究人员可能会使用算术平均数来分析调查结果并衡量一组人的一般意见或行为。然而，虽然算术平均数是一个有价值的统计测量，但重要的是要注意它的局限性。算术平均数可能会受到极端值的严重影响，极端值是与数据集中其他观察值显著不同的极端值。例如，如果一名学生在前面提到的测试中得了10分，那么新的计算将变为70 + 85 + 90 + 75 + 80 + 10 = 410，而算术平均数将变为410 / 6 = 大约68.33。这一平均分数的显著下降表明，一个低分如何扭曲整体结果，从而导致潜在的误导性结论。为了减轻极端值的影响，统计学家通常建议在使用算术平均数的同时使用其他集中趋势的测量方式，例如中位数或众数。中位数表示当所有数字按顺序排列时的中间值，当存在极端值时，它可以提供更准确的数据图像。在我们之前的例子中，如果我们排列分数（10、70、75、80、85、90），则中位数分数将为77.5，提供了对学生表现的不同看法。总之，算术平均数是统计学中的一个基本概念，在各个领域的数据分析中发挥着至关重要的作用。虽然它提供了一种方便的方式来总结数据，但必须意识到它的局限性，并考虑其他统计测量，以全面理解手头的数据。通过这样做，我们可以根据对可用信息的全面分析做出更明智的决策。