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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)

0 4 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    2 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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