标准差

计算过程: 简易口诀:离均差平方和的平均;方均根。

例如,对于一个有六个数的数集2,3,4,5,6,8,其标准差可经过如下步骤计算:

(1)计算平均值: (2 + 3 + 4 + 5+ 6 + 8)/6 = 30 /6 = 5

(2)计算方差: (2 – 5)^2 = (-3)^2= 9 (3 – 5)^2 = (-2)^2= 4 (4 – 5)^2 = (-1)^2= 0 (5 – 5)^2 = 0^2= 0 (6 – 5)^2 = 1^2= 1 (8 – 5)^2 = 3^2= 9

(3)计算平均方差: (9 + 4 + 0 + 0+ 1 + 9)/6 = 24/6 = 4

(4)计算标准差: √4 = 2

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