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}
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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