1.

Calculate variance and standard deviation of the following data : 10 , 12 , 8 , 14 , 16 .

Answer» AM `(barx) = (10 + 12 + 8 + 14 + 16)/(5) = (60)/(5) = 12`
Varience = `((10 - 12)^(2) + (12-12)^(2) + (8-12)^(2) + (14-12)^(2) + (16-12)^(2))/(5)`
`= (4 + 0 + 16 + 4 + 16)/(5) = (40)/(5) = 8`
SD `(sigma) = sqrt("Variance") = sqrt(8)`.


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