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Chapter 4

Measures of Variation

什么是变化?
什么是变化?
Apart from the measures of central tendency, distribution, outliers, and the changing characteristics of data with time, an important characteristic of ...
范围
范围
The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the ...
标准差
标准差
The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The ...
均值的标准误
均值的标准误
The sampling variability of a statistic is defined as how much the statistic varies from one sample to another. The sampling variability of a statistic is ...
计算标准差
计算标准差
The standard deviation is the most common measure of variation. It is a value that tells us how far a data value is from the mean value in a dataset. ...
方差
方差
 The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative ...
变异系数
变异系数
The coefficient of variation measures the dispersion of the data points or distribution around the mean. Using the coefficient of variation, we can ...
解释标准差的范围经验法则
解释标准差的范围经验法则
The range rule of thumb in statistics helps us calculate a dataset's minimum and maximum values with known standard deviation. This rule is based on ...
解释标准差的经验方法
解释标准差的经验方法
The empirical rule, also known as the three-sigma rule, allows a statistician to interpret the standard deviation in a normally distributed dataset. The ...
解释标准差的切比雪夫定理
解释标准差的切比雪夫定理
Chebyshev’s theorem, also known as Chebyshev’s Inequality, states that the proportion of values of a dataset for K standard deviation is ...
平均绝对偏差
平均绝对偏差
The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data ...
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