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Let \(x_i(1 \leq i \leq 10)\) be ten observations of a random variable \(X\). If \(\sum_{i=1}^{10}\left(x_i-p\right)=3\)…

Q1

Let \(x_i(1 \leq i \leq 10)\) be ten observations of a random variable \(X\). If \(\sum_{i=1}^{10}\left(x_i-p\right)=3\) and \(\sum_{i=1}^{10}\left(x_i-p\right)^2=9\) where \(p \neq 0\) \(p \in R\), then the standard deviation of these observations is

[JEE Main 2020, 3 Sep (Shift 2)]

a

\(\frac{7}{10}\)

b

\(\frac{9}{10}\)

c

\(\sqrt{\frac{3}{5}}\)

d

\(\frac{4}{5}\)

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