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変動係数

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Last updated at Posted at 2020-03-31

変動係数

分散で散らばり具合を比較できない場合がある

例)1人あたりの県民所得の平均(p38)
地域間の所得格差は広がったか?

年度 平均 $\bar{X}$ 標準偏差 $S$ 変動係数 $C.V.$
1965 26.6万円 7.5万円 7.5/26.6 $\fallingdotseq$ 0.28
1975 117.5万円 23.8万円 23.8/117.5 $\fallingdotseq$ 0.20

$$C.V.=\frac{S_x}{\bar{X}}$$

単純に標準偏差を比較すれば3倍になっているが、平均も約4.5倍に増えている
平均1あたりの標準偏差である変動係数(単位無し)を比べると地域格差は小さくなっていると言える。

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