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    Question

    Given below is the observed data of the ages of various

    children. What is the mean of the ages of the children?
    A 6.575 years Correct Answer Incorrect Answer
    B 8.575 years Correct Answer Incorrect Answer
    C 7.575 years Correct Answer Incorrect Answer
    D 5.575 years Correct Answer Incorrect Answer

    Solution

    Σ(f × x) = (6 × 8) + (7 × 3) + (8 × 7) + (9 × 2) + (10 × 20) ⇒ Σ(f × x) = 48 + 21 + 56 + 18 + 200 ⇒ Σ(f × x) = 343 Σf = 8 + 3 + 7 + 2 + 20 = 40 Mean = 343 / 40 ⇒ Mean = 8.575 ∴ The mean age of the children is 8.575 years.

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