sample average
简明释义
样本均值
英英释义
The sample average is the sum of all observed values in a sample divided by the number of observations, representing the central tendency of the data. | 样本平均值是样本中所有观测值的总和除以观测次数,表示数据的集中趋势。 |
例句
1.The sample average 样本平均值 of the heights in the class was surprisingly high.
班级中身高的样本平均值 sample average出乎意料地高。
2.We used the sample average 样本平均值 to estimate the overall performance of the students.
我们使用样本平均值 sample average来估计学生的整体表现。
3.To analyze the data, we need to find the sample average 样本平均值 of the test results.
为了分析数据,我们需要找出测试结果的样本平均值 sample average。
4.In statistics, the sample average 样本平均值 is often used to infer the population mean.
在统计学中,样本平均值 sample average通常用于推断总体均值。
5.The researcher calculated the sample average 样本平均值 to determine the mean score of the participants.
研究人员计算了样本平均值 sample average以确定参与者的平均得分。
作文
In the field of statistics, the concept of a sample average is crucial for data analysis and interpretation. A sample average (样本平均值) refers to the mean value calculated from a subset of data drawn from a larger population. This method is particularly useful when it is impractical or impossible to collect data from every individual in the population. By analyzing a representative sample, researchers can make inferences about the entire population with a reasonable degree of accuracy.For example, consider a scenario where a researcher wants to understand the average height of adult men in a city. Instead of measuring the height of every man in that city, which would be time-consuming and costly, the researcher can select a random sample of men. After measuring their heights, the researcher can calculate the sample average (样本平均值) height. This sample average provides a reliable estimate of the average height of all adult men in the city.The calculation of a sample average involves summing the values of the sampled observations and dividing by the number of observations. The formula is given as:Sample Average = (Sum of Sample Values) / (Number of Samples)This straightforward calculation allows researchers to quantify their findings and draw meaningful conclusions. However, it is important to note that the accuracy of the sample average (样本平均值) depends significantly on how well the sample represents the population. If the sample is biased or not randomly selected, the sample average may not accurately reflect the true population average.Moreover, the sample average is often accompanied by measures of variability, such as the standard deviation, to provide a fuller picture of the data's distribution. Understanding both the sample average and its variability helps researchers assess the reliability of their estimates and the potential margin of error.In practical applications, the sample average is widely used across various fields, including psychology, marketing, health sciences, and economics. For instance, in market research, companies often conduct surveys to gather consumer opinions about a new product. By calculating the sample average satisfaction level from survey responses, they can gauge overall customer sentiment and make informed decisions regarding product improvements or marketing strategies.In conclusion, the sample average (样本平均值) is an essential statistical tool that allows researchers to summarize data and derive insights about larger populations. Its significance lies in its ability to provide an estimate based on limited data while acknowledging the importance of proper sampling techniques to ensure accuracy. As we continue to navigate an increasingly data-driven world, mastering the concept of the sample average will empower individuals and organizations to make better decisions based on empirical evidence.
在统计学领域,样本平均值的概念对数据分析和解释至关重要。样本平均值(sample average)是指从较大总体中抽取的子集数据计算得出的平均值。当从总体中收集每个个体的数据不切实际或不可能时,这种方法尤其有用。通过分析一个具有代表性的样本,研究人员可以以合理的准确性对整个总体进行推断。例如,考虑一种情况,研究人员想要了解某城市成年男性的平均身高。研究人员可以随机选择一部分男性,而不是测量该城市所有男性的身高,因为这样做既耗时又昂贵。在测量他们的身高后,研究人员可以计算出样本平均值(sample average)身高。这个样本平均值为该城市所有成年男性的平均身高提供了一个可靠的估计。计算样本平均值(sample average)涉及将样本观察值的值相加,然后除以观察值的数量。公式如下:样本平均值 = (样本值之和)/(样本数量)这个简单的计算使研究人员能够量化他们的发现并得出有意义的结论。然而,需要注意的是,样本平均值(样本平均值)的准确性在很大程度上取决于样本是否能很好地代表总体。如果样本存在偏差或未随机选择,则样本平均值可能无法准确反映真实的总体平均值。此外,样本平均值通常伴随着变异性度量,如标准差,以提供数据分布的更全面图景。理解样本平均值及其变异性有助于研究人员评估其估计的可靠性和潜在的误差范围。在实际应用中,样本平均值在心理学、市场营销、健康科学和经济学等多个领域被广泛使用。例如,在市场研究中,公司通常会进行调查以收集消费者对新产品的意见。通过计算调查响应的样本平均值满意度水平,他们可以评估整体客户情绪,并就产品改进或市场营销策略做出明智决策。总之,样本平均值(sample average)是一个基本的统计工具,使研究人员能够总结数据并得出关于更大总体的见解。它的重要性在于能够基于有限的数据提供估计,同时承认适当抽样技术以确保准确性的重要性。随着我们继续在一个日益数据驱动的世界中航行,掌握样本平均值的概念将使个人和组织能够基于实证证据做出更好的决策。
相关单词