The median is the middle value of the distribution of the given data. The interquartile range (IQR) is the range of values that resides in the middle of the scores. When a distribution is skewed, and the median is used instead of the mean to show acentral tendency, the appropriate measu...
You can even use the interquartile range as a simple test to determine whether your data are normally distributed. When data follow a normal distribution, the interquartile range will have specific properties. The image below highlights these properties. Specifically, in our calculations below, we’...
So, we cannot take scale = 2, because this makes the decision range too inclusive, meaning it results in too few outliers. In other words, the decision range gets so big (compared to 3σ) that it considers some outliers as data points, which is not desirable either....
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