Find the median of the data set: 27, 88, 41, 80, 60, 13, 74, 33, 80, 91, 80. 27, 88, 41, 80, 60, 13, 74, 33, 80, 91, 80.
Question
Find the median of the data set: 27, 88, 41, 80, 60, 13, 74, 33, 80, 91, 80. 27, 88, 41, 80, 60, 13, 74, 33, 80, 91, 80.
Solution 1
Step 1: First, we need to arrange the data set in ascending order.
The sorted data set is: 13, 27, 33, 41, 60, 74, 80, 80, 80, 88, 91.
Step 2: The median is the middle number in a sorted, ascending or descending, list of numbers.
Since we have 11 numbers in our data set, the median is the 6th number.
So, the median of this data set is 74.
Solution 2
Step 1: Arrange the data in ascending order: 13, 27, 33, 41, 60, 74, 80, 80, 80, 88, 91.
Step 2: Determine the number of data points. In this case, there are 11 data points.
Step 3: Since the number of data points is odd, the median is the number that falls exactly in the middle when the data is arranged in ascending order.
Step 4: The middle number is the 6th number, which is 74.
So, the median of the given data set is 74.
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