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    Question

    The mean of the observations 29, 36, 21, 18, 7, 19, k, k

    is 19. 25 and the mode of the observations 29, 22, 15, 22, 18, 21. p. p is 29. Find the value of (p – k).
    A 7 Correct Answer Incorrect Answer
    B 12 Correct Answer Incorrect Answer
    C 13 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer

    Solution

    The mean of the observations first observation = Sum (29, 36, 21, 18, 7, 19, k, k) / 8 According to the question, Sum (29, + 36+21 +18+7 +19 +k +k) / 8 = 19.25 130 + 2k = 154   k = 12 The mode of the observations second observation = 29 Hence, p must be 29 i.e. P =29 Thus, (p-k) = 29-12=17 The value of (p - k) is 17.

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