summary of variance

简明释义

差异汇总表

英英释义

例句

1.During the meeting, the manager presented a summary of variance to explain the differences between projected and actual sales.

在会议上，经理展示了一个差异总结，以解释预计销售与实际销售之间的差异。

2.After analyzing the data, the team created a summary of variance to identify areas for improvement.

在分析数据后，团队创建了一份差异总结，以识别改进的领域。

3.The summary of variance showed that our expenses were higher than expected due to unforeseen circumstances.

这份差异总结显示，由于不可预见的情况，我们的开支高于预期。

4.The financial report included a detailed summary of variance that highlighted discrepancies in the budget.

财务报告中包含了详细的差异总结，突出了预算中的不一致之处。

5.The summary of variance revealed that the marketing campaign did not generate the expected return on investment.

这份差异总结揭示了营销活动没有产生预期的投资回报。

作文

In the field of statistics, understanding data is crucial for making informed decisions. One important concept that aids in this understanding is the summary of variance. The summary of variance refers to a statistical measure that quantifies the degree of variation or dispersion in a set of data points. It provides insights into how much the individual data points differ from the overall mean of the dataset. This concept is particularly valuable in various fields such as finance, psychology, and quality control, where understanding variability can lead to better outcomes.To illustrate the importance of the summary of variance, consider a scenario in which a company is analyzing its sales data over several months. If the sales figures for each month are closely clustered around the average, the variance will be low, indicating consistent performance. Conversely, if the sales figures vary widely, the variance will be high, suggesting that some months performed significantly better or worse than others. This information can help management make strategic decisions, such as reallocating resources or adjusting marketing strategies.Moreover, the summary of variance is not just about calculating a single number; it also encompasses understanding the underlying factors contributing to the variation. For instance, if a company notices high variance in its sales data, it may need to investigate potential causes such as seasonality, market trends, or changes in consumer behavior. By identifying these factors, businesses can implement targeted interventions to stabilize their performance.In academic research, the summary of variance plays a critical role in hypothesis testing. Researchers often use variance to determine whether observed differences between groups are statistically significant. For example, in a clinical trial comparing the effectiveness of two medications, researchers would analyze the variance in patient outcomes to assess whether the differences in recovery rates are due to the treatment or merely random chance. This application underscores the importance of the summary of variance in drawing valid conclusions from research data.Furthermore, in education, teachers can utilize the summary of variance to evaluate student performance. By analyzing test scores across different classes or demographics, educators can identify disparities in learning outcomes. This information can inform instructional strategies and help address gaps in student achievement. For example, if one class shows significantly higher variance in test scores, it may indicate that some students are struggling while others excel, prompting the teacher to provide additional support where needed.In conclusion, the summary of variance is a fundamental concept in statistics that provides valuable insights into data variability. Whether in business, research, or education, understanding variance helps stakeholders make informed decisions by revealing patterns and trends within datasets. By effectively utilizing the summary of variance, organizations and individuals can enhance their analytical capabilities and drive better results in their respective fields.

在统计学领域，理解数据对做出明智的决策至关重要。一个有助于这种理解的重要概念是方差总结。方差总结是指量化一组数据点变异或离散程度的统计测量。它提供了个体数据点与数据集整体均值之间差异的洞察。这个概念在金融、心理学和质量控制等多个领域尤其有价值，因为理解变异性可以带来更好的结果。为了说明方差总结的重要性，考虑一个公司分析其几个月销售数据的情景。如果每个月的销售数字紧密聚集在平均值附近，方差将很低，表明表现一致。相反，如果销售数字变化很大，方差将很高，表明某些月份的表现显著好于或差于其他月份。这些信息可以帮助管理层做出战略决策，例如重新分配资源或调整营销策略。此外，方差总结不仅仅是计算一个数字；它还包括理解导致变异的潜在因素。例如，如果一家公司注意到其销售数据中存在高方差，它可能需要调查潜在原因，例如季节性、市场趋势或消费者行为的变化。通过识别这些因素，企业可以实施针对性的干预措施，以稳定其业绩。在学术研究中，方差总结在假设检验中发挥着关键作用。研究人员通常使用方差来确定观察到的组间差异是否具有统计显著性。例如，在比较两种药物有效性的临床试验中，研究人员将分析患者结果的方差，以评估恢复率的差异是由于治疗还是仅仅是随机机会。这一应用强调了方差总结在从研究数据中得出有效结论方面的重要性。此外，在教育中，教师可以利用方差总结来评估学生表现。通过分析不同班级或人口统计的考试成绩，教育工作者可以识别学习成果中的差距。这些信息可以为教学策略提供指导，并帮助解决学生成就中的差距。例如，如果一个班级的考试成绩方差显著较高，这可能表明一些学生在挣扎，而另一些学生则表现优异，促使教师在需要的地方提供额外支持。总之，方差总结是统计学中的一个基本概念，它提供了数据变异性的重要洞察。无论是在商业、研究还是教育中，理解方差都有助于利益相关者通过揭示数据集中的模式和趋势来做出明智的决策。通过有效利用方差总结，组织和个人可以增强他们的分析能力，并在各自的领域推动更好的结果。