A dataset contains the following values: 23, 28, 37, 23, 45, 49, 37, 62. Rank the values. Which rank is associated with value 37?643.54.5
Question
A dataset contains the following values: 23, 28, 37, 23, 45, 49, 37, 62. Rank the values. Which rank is associated with value 37?643.54.5
Solution
First, let's arrange the data set in ascending order: 23, 23, 28, 37, 37, 45, 49, 62.
Ranking is the process of assigning each value a position in the ordered set. If there are duplicate values, we assign them the average of the ranks they would have received if they were slightly different.
So, the ranks for our data set are:
23: 1.5 (because there are two 23s, and they would have been at positions 1 and 2, so we take the average: (1+2)/2 = 1.5) 23: 1.5 28: 3 37: 4.5 (because there are two 37s, and they would have been at positions 4 and 5, so we take the average: (4+5)/2 = 4.5) 37: 4.5 45: 6 49: 7 62: 8
So, the rank associated with the value 37 is 4.5.
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