bell shaped distribution

简明释义

1. 正态分布; 2. 钟形分布; 3. 高斯分布;

英英释义

例句

1.The normal distribution is a classic example of a bell shaped distribution 钟形分布 used in probability theory.

正态分布是概率论中一个经典的钟形分布 钟形分布的例子。

2.Most standardized tests are designed to produce a bell shaped distribution 钟形分布 of scores among test-takers.

大多数标准化测试旨在产生考生之间的钟形分布 钟形分布的分数。

3.When analyzing the data, we found that the results followed a bell shaped distribution 钟形分布, indicating a typical pattern.

在分析数据时，我们发现结果遵循钟形分布 钟形分布，这表明了一种典型模式。

4.The bell shaped distribution 钟形分布 is often used in quality control to monitor product variations.

在质量控制中，钟形分布 钟形分布通常用于监测产品变异。

5.In statistics, many natural phenomena exhibit a bell shaped distribution 钟形分布, such as heights and test scores.

在统计学中，许多自然现象表现出一种钟形分布 钟形分布，例如身高和考试分数。

作文

The concept of a bell shaped distribution is fundamental in statistics and plays a crucial role in various fields such as psychology, economics, and natural sciences. A bell shaped distribution, also known as a normal distribution, is characterized by its symmetric shape, where most of the observations cluster around the central peak and probabilities for values further away from the mean taper off equally in both directions. This distribution is often depicted graphically as a bell curve, which illustrates how data points are spread around the average. Understanding the bell shaped distribution is essential because it helps researchers and analysts make informed decisions based on statistical data. For instance, in psychology, many cognitive abilities, such as intelligence, are often distributed in a bell shaped distribution. This means that most individuals score near the average, while fewer individuals achieve extremely high or low scores. Such insights allow psychologists to understand the typical range of human capabilities and identify outliers who may require special attention or resources. In economics, the bell shaped distribution can be applied to analyze income levels within a population. Typically, most people earn an income close to the average, while only a small percentage earn significantly more or less. This understanding aids policymakers in crafting equitable taxation systems and social welfare programs that address the needs of the majority while considering the extremes. Moreover, the bell shaped distribution is not just limited to human behavior; it is prevalent in natural phenomena as well. For example, measurements of physical attributes like height or blood pressure in a large population tend to follow this distribution. Recognizing this pattern allows scientists to predict how likely certain traits are to occur within a population, thereby enhancing our understanding of human biology and health. However, it is important to note that not all datasets conform to a bell shaped distribution. In some cases, data may exhibit skewness or kurtosis, leading to distributions that deviate from the classic bell shape. For instance, income distribution can often be positively skewed, with a long tail on the right side representing a small number of individuals with very high incomes. Understanding these variations is critical for accurate data analysis and interpretation. In conclusion, the bell shaped distribution is a cornerstone of statistical analysis that provides valuable insights across various disciplines. Its significance lies not only in its prevalence in real-world data but also in its ability to facilitate informed decision-making. By grasping the principles behind the bell shaped distribution, individuals can better understand the dynamics of the data they encounter and apply this knowledge effectively in their respective fields. Therefore, mastering the concept of the bell shaped distribution is imperative for anyone involved in data analysis, research, or policy-making.

“钟形分布”的概念在统计学中是基础性的，并在心理学、经济学和自然科学等多个领域发挥着至关重要的作用。“钟形分布”，也称为正态分布，其特点是其对称的形状，其中大多数观察值聚集在中心峰附近，而远离均值的值的概率在两个方向上均匀减小。该分布通常以图形方式呈现为钟形曲线，展示了数据点围绕平均值的分布情况。理解“钟形分布”至关重要，因为它帮助研究人员和分析师根据统计数据做出明智的决策。例如，在心理学中，许多认知能力，如智力，通常呈现为“钟形分布”。这意味着大多数个体的得分接近平均水平，而只有少数个体获得极高或极低的分数。这些见解使心理学家能够理解人类能力的典型范围，并识别出可能需要特别关注或资源的异常值。在经济学中，“钟形分布”可以用于分析一个人群中的收入水平。通常，大多数人的收入接近平均水平，而只有一小部分人赚得显著更多或更少。这种理解帮助政策制定者制定公平的税收制度和社会福利项目，以满足大多数人的需求，同时考虑到极端情况。此外，“钟形分布”不仅限于人类行为；它在自然现象中也很常见。例如，许多人群中的身高或血压等身体特征的测量往往遵循这种分布。识别这种模式使科学家能够预测某些特征在一个人群中发生的可能性，从而增强我们对人类生物学和健康的理解。然而，需要注意的是，并非所有数据集都符合“钟形分布”。在某些情况下，数据可能表现出偏斜或峰度，导致分布偏离经典的钟形。例如，收入分配通常会呈现出正偏态，右侧有一个长尾，代表少数拥有非常高收入的个体。理解这些变化对于准确的数据分析和解释至关重要。总之，“钟形分布”是统计分析的基石，为各个学科提供了宝贵的见解。其重要性不仅在于其在现实世界数据中的普遍存在，而且在于其促进明智决策的能力。通过掌握“钟形分布”背后的原理，个人可以更好地理解他们所遇到的数据动态，并有效地将这一知识应用于各自的领域。因此，掌握“钟形分布”的概念对于任何参与数据分析、研究或政策制定的人来说都是至关重要的。