Let the mean and the variance of 20 observations x_1, x_2, . . ., x_{20} be 15 and 9 , respectively. For \alpha \in R, if the mean of (x_1+\alpha)^2,(x_2+\alpha)^2, . . .,(x_{20}+\alpha)^2 is 178 , then the square of the maximum value of \alpha is equal to ______. [29-Jul-2022-Shift-1]

Statistics Part 1

Section: Mathematics

Question : 12 of 100

Marks: +1, -0

Let the mean and the variance of 20 observations x1,x2,...,x20 be 15 and 9 , respectively. For α∈R, if the mean of (x1+α)2,(x2+α)2,...,(x20+α)2 is 178 , then the square of the maximum value of α is equal to ______.

[29-Jul-2022-Shift-1]

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