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    Question

    In the data set given below, what is the product of the Median and the Mode?

    {2.1, 5, 6, 7, 8, 9.3,11,15, 17, 19.21, 27, 31, 31, 33, 16.5, 14, 10}

    A 343 Correct Answer Incorrect Answer
    B 434 Correct Answer Incorrect Answer
    C 764 Correct Answer Incorrect Answer
    D 562 Correct Answer Incorrect Answer

    Solution

    First, we need to adjust the digits in the ascending order. 2.1, 5, 6, 7, 8, 9.3, 10, 11, 14, 15, 16.5, 17, 19.21, 27, 31, 31, 33 Total number of terms = 17 Median =(n+1)/2 term = (17+1)/2 =9th term. So, the median of the set is 14. Now, 31 occurs 2 times in the set which is the highest. So, mode = 31 Product of the median and mode = 31× 14 =434 The difference between the Median and the Mode is 434

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