average deviation

简明释义

平均偏差;

英英释义

例句

1.The average deviation from the expected delivery time was only two days, which is quite acceptable.

与预期交货时间的平均偏差仅为两天，这相当可以接受。

2.The average deviation of the monthly expenses indicates a stable financial situation.

每月支出的平均偏差表明财务状况稳定。

3.The average deviation of the test scores was calculated to assess the overall performance of the students.

测试分数的平均偏差被计算出来，以评估学生的整体表现。

4.In quality control, the average deviation helps in determining the consistency of the product.

在质量控制中，平均偏差有助于确定产品的一致性。

5.To improve accuracy, we need to reduce the average deviation in our measurements.

为了提高准确性，我们需要减少我们的测量中的平均偏差。

作文

In the realm of statistics, understanding various measures of dispersion is crucial for analyzing data effectively. One such measure is the average deviation, which provides insights into how much individual data points differ from the mean of a dataset. The average deviation is defined as the average of the absolute differences between each data point and the mean. This metric is particularly useful because it gives a clear picture of variability without being skewed by extreme values, unlike the standard deviation.To illustrate the concept of average deviation, let’s consider a simple example. Imagine we have a dataset representing the ages of a group of friends: 22, 25, 27, 30, and 34 years. First, we calculate the mean age, which is (22 + 25 + 27 + 30 + 34) / 5 = 27.6 years. Next, we find the absolute differences between each age and the mean:- |22 - 27.6| = 5.6- |25 - 27.6| = 2.6- |27 - 27.6| = 0.6- |30 - 27.6| = 2.4- |34 - 27.6| = 6.4Now, we sum these absolute differences: 5.6 + 2.6 + 0.6 + 2.4 + 6.4 = 17.6. Finally, to find the average deviation, we divide this sum by the number of data points, which gives us 17.6 / 5 = 3.52 years. This result indicates that, on average, the ages of the friends deviate from the mean age by about 3.52 years.The average deviation is beneficial in various fields, including finance, quality control, and social sciences. For instance, in finance, investors may use the average deviation to assess the risk associated with a particular investment. A lower average deviation suggests that the investment's returns are more stable and predictable, while a higher average deviation indicates greater volatility.Moreover, the average deviation can be particularly helpful when comparing multiple datasets. For example, if two different groups of students take the same exam, calculating the average deviation for each group can reveal which group had more consistent performance. A group with a lower average deviation would suggest that most students performed similarly, whereas a higher average deviation indicates a wider range of scores.In summary, the average deviation is a vital statistical tool that helps in understanding data variability. By measuring the average distance of data points from the mean, it offers a straightforward interpretation of dispersion. Whether in academic research, business analysis, or daily life, grasping the concept of average deviation equips individuals with the ability to make informed decisions based on the variability present in their data. As we continue to encounter vast amounts of information in our data-driven world, the average deviation remains an essential concept that aids in effective data interpretation and analysis.

在统计学领域，有效理解各种离散度的测量对于有效分析数据至关重要。其中一个这样的测量是平均偏差，它提供了有关单个数据点与数据集均值之间差异的见解。平均偏差被定义为每个数据点与均值之间绝对差异的平均值。这个指标特别有用，因为它提供了一个清晰的变异性图景，而不会像标准偏差那样受到极端值的影响。为了说明平均偏差的概念，让我们考虑一个简单的例子。假设我们有一个代表一组朋友年龄的数据集：22岁、25岁、27岁、30岁和34岁。首先，我们计算平均年龄，即(22 + 25 + 27 + 30 + 34) / 5 = 27.6岁。接下来，我们找到每个年龄与均值之间的绝对差异：- |22 - 27.6| = 5.6- |25 - 27.6| = 2.6- |27 - 27.6| = 0.6- |30 - 27.6| = 2.4- |34 - 27.6| = 6.4现在，我们将这些绝对差异相加：5.6 + 2.6 + 0.6 + 2.4 + 6.4 = 17.6。最后，为了找到平均偏差，我们将这个总和除以数据点的数量，这给我们17.6 / 5 = 3.52岁。这个结果表明，平均而言，朋友们的年龄与平均年龄的偏差约为3.52岁。平均偏差在金融、质量控制和社会科学等多个领域都很有用。例如，在金融领域，投资者可能会使用平均偏差来评估特定投资的风险。较低的平均偏差表明投资回报更稳定和可预测，而较高的平均偏差则表明波动性更大。此外，平均偏差在比较多个数据集时尤其有帮助。例如，如果两组学生参加同一考试，计算每组的平均偏差可以揭示哪个组的表现更一致。具有较低平均偏差的组表明大多数学生的表现相似，而较高的平均偏差则表明分数范围更广。总之，平均偏差是一个重要的统计工具，有助于理解数据的变异性。通过测量数据点与均值之间的平均距离，它提供了一个简单的离散度解释。无论是在学术研究、商业分析还是日常生活中，掌握平均偏差的概念使个人能够根据数据中存在的变异性做出明智的决策。随着我们继续在数据驱动的世界中遇到大量信息，平均偏差仍然是一个重要的概念，有助于有效的数据解释和分析。