average deviation

简明释义

平均自差

英英释义

例句

1.The average deviation 平均偏差 of the dataset indicates how much the values vary from the mean.

数据集的平均偏差 average deviation 表示数值与均值的偏离程度。

2.The average deviation 平均偏差 from the expected results was minimal, indicating accuracy.

与预期结果的平均偏差 average deviation 很小，表明准确性。

3.By analyzing the average deviation 平均偏差, we can identify outliers in the data.

通过分析平均偏差 average deviation，我们可以识别数据中的异常值。

4.In quality control, we often calculate the average deviation 平均偏差 to assess product consistency.

在质量控制中，我们经常计算平均偏差 average deviation 来评估产品的一致性。

5.The average deviation 平均偏差 helps us understand the reliability of our measurements.

平均偏差 average deviation 帮助我们理解测量的可靠性。

作文

In the field of statistics, understanding data distribution is crucial for accurate analysis. One important concept that helps in this understanding is the average deviation. The average deviation (平均偏差) measures how much the values in a dataset differ from the mean value. It provides insight into the variability of the data and can be particularly useful when comparing different datasets. To better grasp the idea of average deviation, let’s consider an example. Imagine a teacher who wants to evaluate the performance of her students in a mathematics test. She records the scores of her ten students as follows: 80, 85, 90, 75, 95, 70, 85, 100, 60, and 90. First, she calculates the mean score, which is the sum of all the scores divided by the number of students. In this case, the mean is (80 + 85 + 90 + 75 + 95 + 70 + 85 + 100 + 60 + 90) / 10 = 82.5.Next, the teacher needs to find the deviations of each score from the mean. This involves subtracting the mean from each individual score: - 80 - 82.5 = -2.5- 85 - 82.5 = 2.5- 90 - 82.5 = 7.5- 75 - 82.5 = -7.5- 95 - 82.5 = 12.5- 70 - 82.5 = -12.5- 85 - 82.5 = 2.5- 100 - 82.5 = 17.5- 60 - 82.5 = -22.5- 90 - 82.5 = 7.5Now, the teacher has both positive and negative deviations. To calculate the average deviation (平均偏差), she will take the absolute values of these deviations since we are interested in the magnitude of deviation regardless of direction:- | -2.5 | = 2.5- | 2.5 | = 2.5- | 7.5 | = 7.5- | -7.5 | = 7.5- | 12.5 | = 12.5- | -12.5 | = 12.5- | 2.5 | = 2.5- | 17.5 | = 17.5- | -22.5 | = 22.5- | 7.5 | = 7.5Now, the teacher sums these absolute deviations: 2.5 + 2.5 + 7.5 + 7.5 + 12.5 + 12.5 + 2.5 + 17.5 + 22.5 + 7.5 = 92.5. Finally, to find the average deviation (平均偏差), she divides this total by the number of students: 92.5 / 10 = 9.25.The result, 9.25, represents the average deviation (平均偏差) of her students’ scores from the mean. This value indicates that, on average, the students’ scores deviate from the mean score of 82.5 by 9.25 points. Understanding this statistic allows the teacher to assess not only the overall performance of her class but also the consistency of their scores. A lower average deviation (平均偏差) would suggest that the students performed more uniformly, while a higher value would indicate greater variability in their performance.In conclusion, the concept of average deviation (平均偏差) is a valuable tool in statistics that offers insights into the spread of data. By calculating the average deviation, one can better understand the consistency and reliability of data, which is essential in various fields such as education, finance, and research. Therefore, mastering this concept is key for anyone looking to analyze data effectively.

在统计学领域，理解数据分布对于准确分析至关重要。一个帮助我们理解这一点的重要概念是平均偏差。平均偏差（average deviation）衡量数据集中值与均值之间的差异程度。它提供了数据变异性的洞察，特别是在比较不同数据集时非常有用。为了更好地理解平均偏差的概念，我们来考虑一个例子。想象一下，一位老师想要评估她的学生在数学测试中的表现。她记录了十名学生的分数如下：80、85、90、75、95、70、85、100、60和90。首先，她计算出平均分数，即所有分数的总和除以学生人数。在这种情况下，平均分为（80 + 85 + 90 + 75 + 95 + 70 + 85 + 100 + 60 + 90）/ 10 = 82.5。接下来，老师需要找出每个分数与平均值之间的偏差。这涉及到从每个单独的分数中减去平均值：- 80 - 82.5 = -2.5- 85 - 82.5 = 2.5- 90 - 82.5 = 7.5- 75 - 82.5 = -7.5- 95 - 82.5 = 12.5- 70 - 82.5 = -12.5- 85 - 82.5 = 2.5- 100 - 82.5 = 17.5- 60 - 82.5 = -22.5- 90 - 82.5 = 7.5现在，老师得到了正负偏差。为了计算平均偏差（average deviation），她将这些偏差的绝对值相加，因为我们关注的是偏差的大小，而不考虑方向：- | -2.5 | = 2.5- | 2.5 | = 2.5- | 7.5 | = 7.5- | -7.5 | = 7.5- | 12.5 | = 12.5- | -12.5 | = 12.5- | 2.5 | = 2.5- | 17.5 | = 17.5- | -22.5 | = 22.5- | 7.5 | = 7.5现在，老师将这些绝对偏差相加：2.5 + 2.5 + 7.5 + 7.5 + 12.5 + 12.5 + 2.5 + 17.5 + 22.5 + 7.5 = 92.5。最后，为了找到平均偏差（average deviation），她将这个总和除以学生人数：92.5 / 10 = 9.25。结果9.25表示她的学生分数与平均分82.5的平均偏差（average deviation）。这个值表明，学生的分数平均偏离82.5分9.25分。理解这一统计数据使老师能够评估班级的整体表现以及他们分数的一致性。较低的平均偏差（average deviation）表明学生表现更均匀，而较高的值则表示他们的表现变异性更大。总之，平均偏差（average deviation）的概念是统计学中一个有价值的工具，提供了对数据分布的洞察。通过计算平均偏差，人们可以更好地理解数据的一致性和可靠性，这在教育、金融和研究等多个领域都是至关重要的。因此，掌握这一概念对于任何希望有效分析数据的人来说都是关键。