sample average; average of samples; sample mean

简明释义

抽样平均数

英英释义

例句

1.We took multiple measurements and found that the sample average 样本平均值 was consistent across trials.

我们进行了多次测量，发现样本平均值在试验中是一致的。

2.In statistics, the sample mean 样本均值 is often used as a point estimate for the population mean.

在统计学中，样本均值通常用作总体均值的点估计。

3.The researcher used the average of samples 样本的平均值 to estimate the overall population mean.

研究人员使用样本的平均值来估计整体人群的均值。

4.The average of samples 样本的平均值 can provide insights into the variability of the data.

样本的平均值可以提供对数据变异性的洞察。

5.To determine the average score of the class, we calculated the sample average 样本平均值 from the test results.

为了确定班级的平均分数，我们从考试结果中计算了样本平均值。

作文

In statistics, the concept of sample average (样本平均数), also known as the average of samples (样本的平均值) or sample mean (样本均值), plays a crucial role in data analysis. Understanding this concept is essential for anyone involved in research, data collection, or any field that relies on quantitative analysis. The sample average provides a way to summarize a set of data points with a single value, making it easier to interpret and communicate findings.To illustrate the importance of the sample mean, consider a scenario where a researcher wants to evaluate the effectiveness of a new teaching method on student performance. The researcher collects test scores from a group of students who underwent the new teaching method. By calculating the sample average, the researcher can quickly assess the overall performance of the students and compare it to previous cohorts that used traditional teaching methods.The formula for calculating the sample mean is straightforward: it involves summing all the individual data points and dividing by the number of observations. For instance, if five students scored 80, 85, 90, 75, and 95 on their tests, the average of samples would be calculated as follows:(80 + 85 + 90 + 75 + 95) / 5 = 85.Thus, the sample average score of the students is 85, which allows the researcher to make informed conclusions about the teaching method's effectiveness.However, it is crucial to note that the sample mean can sometimes be misleading, especially in cases where the data set contains outliers or extreme values. For example, if one student scored 20 instead of the expected range, the sample average would drop significantly, resulting in a skewed representation of the overall performance. Therefore, while the average of samples is a valuable statistic, it should be considered alongside other measures of central tendency, such as the median and mode, to provide a more comprehensive view of the data.In addition to its application in educational research, the concept of sample average is widely utilized in various fields, including economics, psychology, and healthcare. For instance, economists often use the sample mean to analyze consumer spending behavior, while psychologists might apply it to assess the impact of therapy on mental health outcomes. In healthcare, researchers may calculate the average of samples when evaluating the effectiveness of a new medication across a population.In conclusion, the understanding of sample average, average of samples, and sample mean is fundamental in statistical analysis. These concepts allow researchers and analysts to summarize large sets of data into meaningful insights, facilitating better decision-making and understanding of trends. However, caution must be exercised to ensure that the sample mean accurately reflects the data, taking into account potential outliers and the context of the study. By mastering these statistical tools, individuals can enhance their analytical skills and contribute to more informed discussions in their respective fields.

在统计学中，样本平均数（sample average），也称为样本的平均值（average of samples）或样本均值（sample mean），在数据分析中起着至关重要的作用。理解这个概念对于任何参与研究、数据收集或依赖定量分析的领域的人来说都是必不可少的。样本平均数提供了一种用单一值总结一组数据点的方法，使得解释和传达研究结果变得更加容易。为了说明样本均值的重要性，考虑一个场景，其中一位研究人员想要评估一种新的教学方法对学生表现的有效性。研究人员收集了经历过新教学方法的学生的考试成绩。通过计算样本平均数，研究人员可以快速评估学生的整体表现，并将其与使用传统教学方法的先前班级进行比较。计算样本均值的公式非常简单：它涉及将所有个体数据点相加并除以观察值的数量。例如，如果五名学生的考试成绩分别为80、85、90、75和95，则样本的平均值将按如下方式计算：(80 + 85 + 90 + 75 + 95) / 5 = 85。因此，学生的样本平均数为85，这使研究人员能够对教学方法的有效性做出明智的结论。然而，必须注意的是，样本均值有时可能会产生误导，尤其是在数据集中包含异常值或极端值的情况下。例如，如果一名学生的得分为20而不是预期范围内的分数，则样本平均数将显著下降，从而导致整体表现的扭曲。因此，虽然样本的平均值是一个有价值的统计量，但它应该与其他集中趋势的度量一起考虑，例如中位数和众数，以提供数据更全面的视图。除了在教育研究中的应用，样本平均数的概念在经济学、心理学和医疗保健等各个领域也被广泛应用。例如，经济学家通常使用样本均值来分析消费者支出行为，而心理学家可能会应用它来评估治疗对心理健康结果的影响。在医疗保健中，研究人员可能会在评估新药在某一人群中的有效性时计算样本的平均值。总之，理解样本平均数、样本的平均值和样本均值在统计分析中是基础。这些概念使研究人员和分析师能够将大量数据集总结为有意义的见解，从而促进更好的决策和对趋势的理解。然而，必须谨慎，以确保样本均值准确反映数据，考虑潜在的异常值和研究的背景。通过掌握这些统计工具，个人可以增强他们的分析技能，并为各自领域的更明智讨论做出贡献。