relative frequency

简明释义

相对频率

英英释义

例句

1.By calculating the relative frequency 相对频率, researchers can better understand the distribution of data.

通过计算相对频率 relative frequency，研究人员可以更好地理解数据的分布。

2.Teachers often use relative frequency 相对频率 to analyze student performance across different subjects.

教师通常使用相对频率 relative frequency 来分析学生在不同科目上的表现。

3.The relative frequency 相对频率 of rolling a six on a die is 1 out of 6.

掷骰子时出现六的相对频率 relative frequency 是1/6。

4.The relative frequency 相对频率 of defects in a manufacturing process was found to be 2%.

在制造过程中发现缺陷的相对频率 relative frequency 为2%。

5.In a survey, the relative frequency 相对频率 of people preferring coffee over tea was calculated to be 60%.

在一项调查中，喜欢咖啡而不是茶的人的相对频率 relative frequency 被计算为60%。

作文

Understanding the concept of relative frequency is essential in the fields of statistics and probability. In simple terms, relative frequency refers to the ratio of the number of times an event occurs to the total number of trials or observations. This measurement allows us to understand how often an event happens in relation to the overall sample size, providing a clearer picture of the likelihood of that event occurring in a larger context.For instance, consider a simple experiment where we toss a coin ten times. If the coin lands on heads six times and tails four times, we can calculate the relative frequency of each outcome. The relative frequency of heads would be 6 divided by 10, which equals 0.6 or 60%. Conversely, the relative frequency of tails would be 4 divided by 10, equating to 0.4 or 40%. This calculation helps illustrate that heads appeared more frequently than tails in this specific set of trials.The significance of relative frequency becomes even more apparent when we analyze larger datasets. For example, if we were to conduct a survey asking individuals about their favorite type of music, the relative frequency of each genre could reveal trends and preferences within a population. If 100 people participated in the survey and 40 preferred pop music, the relative frequency of pop music would be 0.4 or 40%. This information can be invaluable for marketers and researchers who aim to target specific audiences based on their preferences.Moreover, relative frequency can be used to make predictions about future events. By analyzing past data, we can estimate the probability of an event occurring in the future. For instance, if a basketball player has a free throw relative frequency of 75% over a season, we might predict that they will make approximately 75% of their free throws in future games as well. This predictive capability is crucial in various fields, from sports analytics to financial forecasting.In addition to practical applications, understanding relative frequency enhances our critical thinking skills. It encourages us to look beyond mere numbers and consider the context in which those numbers exist. For example, knowing that a certain event has a high relative frequency does not automatically imply it is likely to happen in every individual case. It is essential to consider other factors, such as sample size and variability, which can influence outcomes.In conclusion, the concept of relative frequency is a powerful tool that aids in the interpretation of data and the understanding of probabilities. By examining how often events occur relative to the total number of observations, we gain insights that can inform decisions, shape predictions, and enhance our comprehension of various phenomena. Whether in casual experiments or complex research studies, mastering the idea of relative frequency equips us with a valuable skill set applicable across numerous disciplines. Therefore, embracing this concept not only enriches our knowledge but also empowers us to engage more effectively with the world around us.

理解相对频率这一概念在统计学和概率论领域至关重要。简单来说，相对频率是指某事件发生的次数与总试验或观察次数的比率。这一测量使我们能够了解某事件发生的频率与整体样本大小之间的关系，从而更清晰地描绘该事件在更大背景下发生的可能性。例如，考虑一个简单的实验，我们投掷硬币十次。如果硬币正面朝上六次，反面朝上四次，我们可以计算每种结果的相对频率。正面的相对频率将是6除以10，等于0.6或60%。相反，反面的相对频率将是4除以10，等于0.4或40%。这个计算有助于说明在这一特定试验集中，正面出现的频率高于反面。当我们分析更大的数据集时，相对频率的重要性愈发明显。例如，如果我们进行一项调查，询问人们最喜欢的音乐类型，各个流派的相对频率可以揭示出人群中的趋势和喜好。如果100人参与了调查，其中40人偏爱流行音乐，那么流行音乐的相对频率将是0.4或40%。这一信息对于希望根据受众偏好进行市场营销和研究的人士来说，具有重要价值。此外，相对频率还可以用于预测未来事件。通过分析过去的数据，我们可以估计某事件在未来发生的概率。例如，如果一名篮球运动员在一个赛季中的罚球相对频率为75%，我们可能会预测他在未来比赛中也将大约命中75%的罚球。这种预测能力在各个领域都至关重要，从体育分析到金融预测。除了实际应用之外，理解相对频率还增强了我们的批判性思维能力。它鼓励我们超越单纯的数字，考虑这些数字存在的背景。例如，知道某事件具有较高的相对频率并不自动意味着它在每个个案中都可能发生。考虑其他因素，如样本大小和变异性，这些因素可能影响结果是至关重要的。总之，相对频率的概念是一个强大的工具，有助于数据的解释和概率的理解。通过检查事件发生的频率与总观察次数的关系，我们获得的见解能够指导决策、塑造预测，并增强我们对各种现象的理解。无论是在简单的实验还是复杂的研究中，掌握相对频率这一理念使我们具备了在多个学科中适用的宝贵技能。因此，接受这一概念不仅丰富了我们的知识，还使我们能够更有效地与周围世界互动。