The mean of squares of deviations of n observations x1, x2, ……. Xn about -2 and 2 are 18 and 10 respectively. If each item is increased by 2, then the S.D. of the given set is __

1n∑(xi+2)2=18 1n∑(xi−2)2=10Adding equation 1 & 2, 1n∑xi2=1, ∴ S.D,= σ =3

The mean of squares of deviations of n observations x1, x2, ……. Xn about -2 and 2 are 18 and 10 respectively. If each item is increased by 2, then the S.D. of the given set is __

1n∑(xi+2)2=18 1n∑(xi−2)2=10Adding equation 1 & 2, 1n∑xi2=1, ∴ S.D,= σ =3

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The mean of squares of deviations of n observations x₁, x₂, ……. X_n about -2 and 2 are 18 and 10 respectively. If each item is increased by 2, then the S.D. of the given set is __

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$\begin{aligned} \frac{1}{n} \sum {(x_{i} + 2)}^{2} = 18 \\ \frac{1}{n} \sum {(x_{i} - 2)}^{2} = 10 \end{aligned}$
Adding equation 1 & 2, $\frac{1}{n} \sum x_{i}^{2} =1,$
$∴ S.D,= σ =3$

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The mean of squares of deviations of n observations x1, x2, ……. Xn about -2 and 2 are 18 and 10 respectively. If each item is increased by 2, then the S.D. of the given set is __

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The mean of squares of deviations of n observations x₁, x₂, ……. X_n about -2 and 2 are 18 and 10 respectively. If each item is increased by 2, then the S.D. of the given set is __