Question
In the data set given below, what is the difference
between 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}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 Difference between median and mode = 31 - 14 =17 ∴ The difference between the Median and the Mode is 17
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