arithmetic mean value

简明释义

算术平均值

英英释义

例句

1.Calculating the arithmetic mean value 算术平均值 is essential when analyzing data sets in statistics.

在统计分析数据集时，计算算术平均值是必不可少的。

2.The arithmetic mean value 算术平均值 of the monthly temperatures helps us understand the climate better.

每月气温的算术平均值有助于我们更好地理解气候。

3.The teacher used the arithmetic mean value 算术平均值 to determine the final grade for the semester.

老师使用算术平均值来确定学期的最终成绩。

4.In finance, the arithmetic mean value 算术平均值 of returns over several years can indicate overall performance.

在金融中，数年回报的算术平均值可以指示整体表现。

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

为了找到班级的平均分，我们计算了所有学生考试成绩的算术平均值。

作文

The concept of the arithmetic mean value is fundamental in mathematics and statistics. It represents a central or typical value for a set of numbers, calculated by summing all the values and then dividing by the count of those values. Understanding this concept is crucial for various applications, including data analysis, economics, and everyday decision-making. To illustrate the importance of the arithmetic mean value, consider a simple example: imagine a teacher who wants to calculate the average score of her class on a recent test. If the scores are 70, 80, 90, and 100, the teacher would first add these scores together: 70 + 80 + 90 + 100 = 340. Then, she would divide this total by the number of students, which is 4. Therefore, the arithmetic mean value of the test scores would be 340 / 4 = 85. This average score gives the teacher a clear picture of how well her class performed overall.In real-life situations, the arithmetic mean value can help individuals make informed decisions. For instance, if someone is considering buying a car and wants to know the average price of similar models, they might gather prices from different dealerships. By calculating the arithmetic mean value of these prices, they can determine what a fair price would be for the car they want. This method of averaging helps eliminate extremes that could skew their perception of the market.Moreover, the arithmetic mean value is widely used in scientific research. Researchers often collect data points from experiments and need to find an average to draw conclusions about their findings. For example, if a scientist measures the growth of plants under different conditions, the arithmetic mean value of the growth measurements can provide insights into which conditions are most favorable for plant development. Without understanding the average, it would be difficult to interpret the results accurately.However, it is important to note the limitations of the arithmetic mean value. In cases where data sets contain outliers—values significantly higher or lower than the rest—the arithmetic mean value may not accurately represent the data. For instance, if one student's score in the previous example was 200 instead of 100, the total would become 70 + 80 + 90 + 200 = 440. Dividing by 4 would yield an average of 110, which does not reflect the performance of the majority of students. In such cases, other measures of central tendency, like the median, may provide a more reliable summary of the data.In conclusion, the arithmetic mean value is a powerful tool for summarizing data and making informed decisions. It is essential for students, professionals, and researchers alike to understand how to calculate and interpret the arithmetic mean value. While it offers great insight into data sets, one must also remain aware of its limitations and consider additional statistical measures when necessary. Mastering the concept of the arithmetic mean value will undoubtedly enhance one's analytical skills and ability to navigate a world filled with numerical information.

“算术平均值”这个概念在数学和统计学中是基础性的。它代表了一组数字的中心或典型值，通过将所有值相加，然后除以这些值的数量来计算。理解这个概念对于数据分析、经济学和日常决策等各种应用至关重要。为了说明“算术平均值”的重要性，考虑一个简单的例子：想象一位老师想要计算她班级最近一次测试的平均分数。如果分数为70、80、90和100，老师首先将这些分数相加：70 + 80 + 90 + 100 = 340。然后，她将这个总数除以学生人数，即4。因此，测试分数的“算术平均值”将是340 / 4 = 85。这个平均分数为老师提供了班级整体表现的清晰图景。在现实生活中，“算术平均值”可以帮助个人做出明智的决策。例如，如果有人考虑购买一辆车并想了解类似车型的平均价格，他们可能会从不同的经销商那里收集价格。通过计算这些价格的“算术平均值”，他们可以确定自己想要的车的合理价格。这种平均方法有助于消除可能扭曲他们对市场看法的极端值。此外，“算术平均值”在科学研究中被广泛使用。研究人员通常从实验中收集数据点，需要找到一个平均值以得出对其发现的结论。例如，如果一位科学家测量植物在不同条件下的生长，生长测量的“算术平均值”可以提供有关哪些条件最有利于植物生长的见解。如果不理解平均值，就很难准确解释结果。然而，需要注意的是“算术平均值”的局限性。在数据集中包含离群值（显著高于或低于其余部分的值）的情况下，“算术平均值”可能无法准确代表数据。例如，如果前面例子中的一名学生的分数是200而不是100，总分将变为70 + 80 + 90 + 200 = 440。除以4将得到110的平均数，这并不能反映大多数学生的表现。在这种情况下，其他集中趋势的度量，如中位数，可能会提供更可靠的数据总结。总之，“算术平均值”是总结数据和做出明智决策的强大工具。学生、专业人士和研究人员都必须理解如何计算和解释“算术平均值”。虽然它为数据集提供了重要的见解，但人们也必须意识到其局限性，并在必要时考虑其他统计度量。掌握“算术平均值”的概念无疑将增强个人的分析能力，以及在充满数字信息的世界中导航的能力。