In a set of 2n observations- half of them are equal to - - and the remaining half are equal to - - If the standard deviation of all the observations is 2- then the value of - - is equal to

The correct option is A 2 μ ( mean) =0 Standard deviation = #10;√(∑^2n_i=1 (x_i μ)^2 2n) #10;⇒ | α | = 2 ...

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Standard X

Mathematics

Standard Deviation of Ungrouped Data by Step Deviation Method

In a set of ...

Question

In a set of $2 n$ observations, half of them are equal to ' $α$ ' and the remaining half are equal to ' $- α$ '. If the standard deviation of all the observations is $2$ , then the value of $| α |$ is equal to

2

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\sqrt{2}

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2 \sqrt{2}

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4

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Solution

The correct option is A $2$
$μ (m e a n) = 0$
Standard deviation = $\sqrt{\frac{2 n \sum i = 1 (x_{i} - μ)^{2}}{2 n}} \Rightarrow | α | = 2$

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In a set of 2n observations, half of them are equal to 'α' and the remaining half are equal to '−α'. If the standard deviation of all the observations is 2, then the value of |α| is equal to

The correct option is A 2μ(mean)=0Standard deviation =    ⎷2n∑i=1(xi−μ)22n⇒|α|=2

In a set of $2 n$ observations, half of them are equal to ' $α$ ' and the remaining half are equal to ' $- α$ '. If the standard deviation of all the observations is $2$ , then the value of $| α |$ is equal to

The correct option is A $2$
$μ (m e a n) = 0$
Standard deviation = $\sqrt{\frac{2 n \sum i = 1 (x_{i} - μ)^{2}}{2 n}} \Rightarrow | α | = 2$