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    Question

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

    is 21. 25 and the mode of the observations 29, 22, 15, 22, 18, 21. p. p is 29. Find the value of (p – k).
    A 12 Correct Answer Incorrect Answer
    B 11 Correct Answer Incorrect Answer
    C 10 Correct Answer Incorrect Answer
    D 9 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 = 21.25 130 + 2k = 170   k = 20 The mode of the observations second observation = 29 Hence, p must be 29 i.e. P =29 Thus, (p-k) = 29-20=9 The value of (p - k) is 9.

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