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 -
√(3/5)
Option 2 -
√(4/5)
Option 3 -
√(7/10)
Option 4 -
√(9/10)
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1 Answer
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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
Kindly consider the following Image
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