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Does the bistogram bave a single, central bump (or peak) or several, separated bumps? These humps are called modes. Formally, the mode is the single, most frequent value, but we rarely use the term that way. ${ }^{2}$ The AIG stock prices have a single mode around $\$ 65$. We often use modes to describe the shape of the distribution. A distribution whose histogram has one main hump, such as the one for the AIG stock prices, is called unimodal; distributions whose histograms have two humps are bimodal, and those with three or more are called multimodal. For example, here’s a bimodal distribution. A bimodal histogram is often an indication that there are two groups in the data. It’s a good idea to investigate when you see bimodality. But don’t get overly excited by minor fluctuations in the histogram, which may just be artifacts of where the bin boundaries fall. To be a true mode, the hump should still be there when you display the histogram with slightly different bin widths. A distribution whose histogram doesn’t appear to have any mode and in which all the bars are approximately the same height is called uniform. (Chapter 5 gives a more formal definition.) ## 商科代写|商业统计代考Business Statistics代考|Symmetry Could you fold the histogram along a vertical line through the middle and have the edges match pretty closely, as in Figure$3.5$, or are more of the values on one side, as in the histograms in Figure 3.6? A distribution is symmetric if the halves on either side of the center look, at least approximately, like mirror images. The (usually) thinner ends of a distribution are called the tails. If one tail stretches out farther than the other, the distribution is said to be skewed to the side of the longer tail. ## 商业统计代写 ## 商科代写|商业统计代考BUSINESS STATISTICS代考|MODE 直方图是否有一个单一的中央凸起$o r p e a k$辸是几个分开的凸起? 这些驼峰称为模式。形式上，众数是单一的、最常见的值，但我们很少这样使用这个术语。${ }^{2}$AIG股价 有单一模式\$65. 我们经常使用众数来描述分布的形状。直方图有一个主峰的分布，例如 AIG 股票价格的峰，称为单峰分布; 直方图有两个驼峰的分布是双峰分布，而具 有三个或更多峰的分布称为多峰分布。例如，这是一个双峰分布。

$\mathrm{~ 录 能 否 将 直 方 图 沿 一 条 垂 直 线 从 中 间 折 㸚}$ 镜像，则分布是对称的。

## Matlab代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。