AP EAMCET202119 Aug 2021Morning ShiftMathematicsStatisticsActual

The variance of the variates 112 , 116 , 120 , 125 , 132 about their A.M is

Options

A58.8
B60
C48.8
D61 .8

Correct answer

C. 48.8

Step-by-step solution

The given observations are 112 , 116 , 120 , 125 , 132 Now, x ¯ = ∑ x i n = 605 5 = 121 And ∑ x i - x ¯ 2 = 81 + 25 + 1 + 16 + 121 = 244 ∴ Variance, σ 2 = ∑ x i - x ¯ 2 n = 244 5 = 48 . 8

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