Statistics 简明教程

Statistics - Range Rule of Thumb

The Range Rule of Thumb 指出范围大约是标准差的四倍。标准差是统计数据中另一个衡量标准差的指标。它告诉你数据如何围绕平均值进行聚类。

The Range Rule of Thumb says that the range is about four times the standard deviation. The standard deviation is another measure of spread in statistics. It tells you how your data is clustered around the mean.

Formula

其中——

Where −

  1. ${s}$ = standard deviation.

  2. ${R}$ = Maximum - Minimum of a range.

范围规则的工作原理，我们将看以下示例。

How the range rule works, we will look at the following example.

Example

Problem Statement:

Problem Statement:

给出以下值：12、12、14、15、16、18、18、20、20 和 25。使用范围经验法则计算标准差。

Given the following values: 12, 12, 14, 15, 16, 18, 18, 20, 20, and 25. Calculate standard deviation using range rule of thumb.

Solution:

Solution:

这些值的平均值为 17。我们首先计算数据的范围为 25 - 12 = 13，然后将这个数字除以 4，我们对标准差的估计为 ${\frac{13}{4} = 3.25}$。这个数字相对接近真实的标准差，并且非常适合粗略估计。

These values have mean of 17. we first calculate the range of our data as 25 - 12 = 13, and then divide this number by four we have our estimate of the standard deviation as ${\frac{13}{4} = 3.25}$. This number is relatively close to the true standard deviation, and good for a rough estimate.