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Excel-40(箱线图)可以快速发现一组数据的分布情况,判断是否有异常值。我们直接看下面的例子,左边是数据,右边是箱线图。箱线图里,有体现一个概念,四分位数。四分位数是将数据从小到大排序,用3个点将数据分成“数量相等的4段”。用Q1,Q2,Q3分别为下四分位数、中位数、上中位数。前25%的数据≤Q1, 前50%的数据≤Q2,前75%的数据≤Q3。箱型图,四分位距IQR=Q3-Q1,用来衡量数据“中间50%的波动大小”,来定义异常值。IQR的值越大,这个箱体越长,说明这组数据越分散。箱体越矮,数据越集中。
异常值定义:将数据小于Q1-1.5*IQR 或 大于Q3+1.5*IQR的数值。我们看个例子。当Q2在箱体中偏下时(即离Q1比较近),说明数据的大部分集中在左边,少数极大值把尾巴拉到右边,称为“右偏”。同理,箱子的中位数Q2靠近Q3,数据大量集中在右边(往大的方向),少数的极小值把尾巴拉向左边,称为“左偏”。
做到今天没白过,没有做违心的事,有吃饱饭,可以开启下一天了。
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