Let xᵢ (1 ≤ i ≤ 10) be ten observations of a random variable x. If Σ(from i=1 to 10)(xᵢ – p) = 3 and Σ(from i=1 to 10)(xᵢ – p)² = 9 where 0 ≠ p ∈ R, then the standard deviation of these observations is:
Let xᵢ (1 ≤ i ≤ 10) be ten observations of a random variable x. If Σ(from i=1 to 10)(xᵢ – p) = 3 and Σ(from i=1 to 10)(xᵢ – p)² = 9 where 0 ≠ p ∈ R, then the standard deviation of these observations is:
Option 1 - <p>√(3/5)</p>
Option 2 - <p>√(4/5)</p>
Option 3 - <p>√(7/10)<br><!-- [if !supportLineBreakNewLine]--><br><!--[endif]--></p>
Option 4 - <p>√(9/10)</p>
7 Views|Posted 5 months ago
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5 months ago
Correct Option - 4
Detailed Solution:
S.D. = √ (∑? ¹? (x? -p)²/10) - (∑? ¹? (x? -p)/10)²
√9/10 - (3/10)² = √9/10 - 9/100
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(Var)new = k² (Var)old
= 4 * 5 = 20
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Maths Statistics 2021
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