Statistics 简明教程

Statistics - Relative Standard Deviation

在概率论和统计学中，变异系数 (CV)，也称为相对标准差 (RSD)，是一种标准化的概率分布或频率分布离散度度量。

In probability theory and statistics, the coefficient of variation (CV), also known as relative standard deviation (RSD), is a standardized measure of dispersion of a probability distribution or frequency distribution.

相对标准差 RSD 的定义和概率函数如下：

Relative Standard Deviation, RSD is defined and given by the following probability function:

Formula

其中——

Where −

  1. ${s}$ = the sample standard deviation

  2. ${\bar x}$ = sample mean

Example

Problem Statement:

Problem Statement:

找出以下数字集合的 RSD：49、51.3、52.7、55.8 且标准差为 2.8437065。

Find the RSD for the following set of numbers: 49, 51.3, 52.7, 55.8 and the standard deviation are 2.8437065.

Solution:

Solution:

Step 1 - 样本标准差：2.8437065（或四舍五入到小数点后两位的 2.84）。

Step 1 - Standard deviation of sample: 2.8437065 (or 2.84 rounded to 2 decimal places).

Step 2 - 将步骤 1 乘以 100。暂时将此数字放在一边。

Step 2 - Multiply Step 1 by 100. Set this number aside for a moment.

Step 3 - 找出样本均值 ${\bar x}$。样本均值为：

Step 3 - Find the sample mean, ${\bar x}$. The sample mean is:

*步骤 4*将步骤 2 除以步骤 3 的绝对值。

*Step 4*Divide Step 2 by the absolute value of Step 3.

RSD 为：

The RSD is:

请注意，RSD 以百分比表示。

Note that the RSD is expressed as a percentage.