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Statistics question

2020 · 3 Sep · Shift 2 · Q36
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Statistics question

2020 · 3 Sep · Shift 2 · Q36

JEE MainMathematicsStatisticsMCQ+4 / −1
Let xi (1 ≤\le≤ i ≤\le≤ 10) be ten observations of a random variable X. If ∑i=110(xi−p)=3\sum\limits_{i = 1}^{10} {\left( {{x_i} - p} \right)} = 3i=1∑10​(xi​−p)=3 and ∑i=110(xi−p)2=9\sum\limits_{i = 1}^{10} {{{\left( {{x_i} - p} \right)}^2}} = 9i=1∑10​(xi​−p)2=9 where 0 eee p ∈\in∈ R, then the standard deviation of these observations is :
  1. A
    710{7 \over {10}}107​
  2. B
    910{9 \over {10}}109​
  3. C
    45{4 \over 5}54​
  4. D
    35\sqrt {{3 \over 5}}53​​
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